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dimensional diffusion</title> <meta name="description" content="Search results for: One dimensional diffusion"> <meta name="keywords" content="One dimensional diffusion"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button 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action="https://publications.waset.org/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="One dimensional diffusion"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1460</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: One dimensional diffusion</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1460</span> An Investigation of a Three-Dimensional Constitutive Model of Gas Diffusion Layers in Polymer Electrolyte Membrane Fuel Cells</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yanqin%20Chen">Yanqin Chen</a>, <a href="https://publications.waset.org/search?q=Chao%20Jiang"> Chao Jiang</a>, <a href="https://publications.waset.org/search?q=Chongdu%20Cho"> Chongdu Cho</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This research presents the three-dimensional mechanical characteristics of a commercial gas diffusion layer by experiment and simulation results. Although the mechanical performance of gas diffusion layers has attracted much attention, its reliability and accuracy are still a major challenge. With the help of simulation analysis methods, it is beneficial to the gas diffusion layer’s extensive commercial development and the overall stress analysis of proton electrolyte membrane fuel cells during its pre-production design period. Therefore, in this paper, a three-dimensional constitutive model of a commercial gas diffusion layer, including its material stiffness matrix parameters, is developed and coded, in the user-defined material model of a commercial finite element method software for simulation. Then, the model is validated by comparing experimental results as well as simulation outcomes. As a result, both the experimental data and simulation results show a good agreement with each other, with high accuracy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Gas%20diffusion%20layer" title="Gas diffusion layer">Gas diffusion layer</a>, <a href="https://publications.waset.org/search?q=proton%20electrolyte%20membrane%20fuel%20cell" title=" proton electrolyte membrane fuel cell"> proton electrolyte membrane fuel cell</a>, <a href="https://publications.waset.org/search?q=stiffness%20matrix" title=" stiffness matrix"> stiffness matrix</a>, <a href="https://publications.waset.org/search?q=three-dimensional%20mechanical%20characteristics" title=" three-dimensional mechanical characteristics"> three-dimensional mechanical characteristics</a>, <a href="https://publications.waset.org/search?q=user-defined%20material%20model." title=" user-defined material model."> user-defined material model.</a> </p> <a href="https://publications.waset.org/10009895/an-investigation-of-a-three-dimensional-constitutive-model-of-gas-diffusion-layers-in-polymer-electrolyte-membrane-fuel-cells" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10009895/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10009895/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10009895/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10009895/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10009895/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10009895/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10009895/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10009895/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10009895/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10009895/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10009895.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">950</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1459</span> An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nopparat%20Pochai">Nopparat Pochai</a>, <a href="https://publications.waset.org/search?q=Rujira%20Deepana"> Rujira Deepana</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Water pollution assessment problems arise frequently in environmental science. In this research, a finite difference method for solving the one-dimensional steady convection-diffusion equation with variable coefficients is proposed; it is then used to optimize water treatment costs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Finite%20difference" title="Finite difference">Finite difference</a>, <a href="https://publications.waset.org/search?q=One-dimensional" title=" One-dimensional"> One-dimensional</a>, <a href="https://publications.waset.org/search?q=Steady%20state" title=" Steady state"> Steady state</a>, <a href="https://publications.waset.org/search?q=Waterpollution%20control" title=" Waterpollution control"> Waterpollution control</a>, <a href="https://publications.waset.org/search?q=Optimization" title=" Optimization"> Optimization</a>, <a href="https://publications.waset.org/search?q=Convection-diffusion%20equation." title=" Convection-diffusion equation."> Convection-diffusion equation.</a> </p> <a href="https://publications.waset.org/6101/an-optimal-control-of-water-pollution-in-a-stream-using-a-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6101/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6101/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6101/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6101/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6101/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6101/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6101/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6101/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6101/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6101/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6101.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1747</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1458</span> Using the V-Sphere Code for the Passive Scalar in the Wake of a Bluff Body</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Y.%20Obikane">Y. Obikane</a>, <a href="https://publications.waset.org/search?q=T.%20Nemoto"> T. Nemoto </a>, <a href="https://publications.waset.org/search?q=K.%20Ogura"> K. Ogura</a>, <a href="https://publications.waset.org/search?q=M.%20Iwata"> M. Iwata</a>, <a href="https://publications.waset.org/search?q=K.%20Ono"> K. Ono</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The objective of this research was to find the diffusion properties of vehicles on the road by using the V-Sphere Code. The diffusion coefficient and the size of the height of the wake were estimated with the LES option and the third order MUSCL scheme. We evaluated the code with the changes in the moments of Reynolds Stress along the mean streamline. The results show that at the leading part of a bluff body the LES has some advantages over the RNS since the changes in the strain rates are larger for the leading part. We estimated that the diffusion coefficient with the computed Reynolds stress (non-dimensional) was about 0.96 times the mean velocity.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Wake" title="Wake ">Wake </a>, <a href="https://publications.waset.org/search?q=bluff%20body" title=" bluff body"> bluff body</a>, <a href="https://publications.waset.org/search?q=V-CAD" title="V-CAD">V-CAD</a>, <a href="https://publications.waset.org/search?q=turbulence%20diffusion." title=" turbulence diffusion."> turbulence diffusion.</a> </p> <a href="https://publications.waset.org/8548/using-the-v-sphere-code-for-the-passive-scalar-in-the-wake-of-a-bluff-body" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8548/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8548/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8548/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8548/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8548/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8548/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8548/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8548/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8548/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8548/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8548.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1455</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1457</span> Thermophoretic Deposition of Nanoparticles Due Toa Permeable Rotating Disk: Effects of Partial Slip, Magnetic Field, Thermal Radiation, Thermal-Diffusion, and Diffusion-Thermo</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20M.%20Rahman">M. M. Rahman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present contribution deals with the thermophoretic deposition of nanoparticles over a rapidly rotating permeable disk in the presence of partial slip, magnetic field, thermal radiation, thermal-diffusion, and diffusion-thermo effects. The governing nonlinear partial differential equations such as continuity, momentum, energy and concentration are transformed into nonlinear ordinary differential equations using similarity analysis, and the solutions are obtained through the very efficient computer algebra software MATLAB. Graphical results for non-dimensional concentration and temperature profiles including thermophoretic deposition velocity and Stanton number (thermophoretic deposition flux) in tabular forms are presented for a range of values of the parameters characterizing the flow field. It is observed that slip mechanism, thermal-diffusion, diffusion-thermo, magnetic field and radiation significantly control the thermophoretic particles deposition rate. The obtained results may be useful to many industrial and engineering applications. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20layer%20flows" title="Boundary layer flows">Boundary layer flows</a>, <a href="https://publications.waset.org/search?q=convection" title=" convection"> convection</a>, <a href="https://publications.waset.org/search?q=diffusion-thermo" title=" diffusion-thermo"> diffusion-thermo</a>, <a href="https://publications.waset.org/search?q=rotating%20disk" title="rotating disk">rotating disk</a>, <a href="https://publications.waset.org/search?q=thermal-diffusion" title=" thermal-diffusion"> thermal-diffusion</a>, <a href="https://publications.waset.org/search?q=thermophoresis." title=" thermophoresis."> thermophoresis.</a> </p> <a href="https://publications.waset.org/3791/thermophoretic-deposition-of-nanoparticles-due-toa-permeable-rotating-disk-effects-of-partial-slip-magnetic-field-thermal-radiation-thermal-diffusion-and-diffusion-thermo" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3791/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3791/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3791/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3791/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3791/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3791/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3791/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3791/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3791/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3791/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3791.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1996</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1456</span> Nitrogen Effects on Ignition Delay Time in Supersonic Premixed and Diffusion Flames</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.%20M.%20Tahsini">A. M. Tahsini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Computational study of two dimensional supersonic reacting hydrogen-air flows is performed to investigate the nitrogen effects on ignition delay time for premixed and diffusion flames. Chemical reaction is treated using detail kinetics and the advection upstream splitting method is used to calculate the numerical inviscid fluxes. The results show that just in stoichiometric condition for both premixed and diffusion flames, there is monotone dependency of the ignition delay time to the nitrogen addition. In other situations, the optimal condition from ignition viewpoint should be found using numerical investigations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Diffusion%20flame" title="Diffusion flame">Diffusion flame</a>, <a href="https://publications.waset.org/search?q=Ignition%20delay%20time" title=" Ignition delay time"> Ignition delay time</a>, <a href="https://publications.waset.org/search?q=Mixing%20layer" title=" Mixing layer"> Mixing layer</a>, <a href="https://publications.waset.org/search?q=Numerical%20simulation" title=" Numerical simulation"> Numerical simulation</a>, <a href="https://publications.waset.org/search?q=Premixed%20flame" title=" Premixed flame"> Premixed flame</a>, <a href="https://publications.waset.org/search?q=Supersonic%20flow." title=" Supersonic flow."> Supersonic flow.</a> </p> <a href="https://publications.waset.org/9996611/nitrogen-effects-on-ignition-delay-time-in-supersonic-premixed-and-diffusion-flames" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9996611/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9996611/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9996611/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9996611/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9996611/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9996611/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9996611/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9996611/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9996611/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9996611/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9996611.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1980</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1455</span> Septic B-spline Collocation Method for Solving One-dimensional Hyperbolic Telegraph Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Marzieh%20Dosti">Marzieh Dosti</a>, <a href="https://publications.waset.org/search?q=Alireza%20Nazemi"> Alireza Nazemi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this paper, a numerical solution for the one-dimensional hyperbolic telegraph equation by using the collocation method using the septic splines is proposed. The scheme works in a similar fashion as finite difference methods. Test problems are used to validate our scheme by calculate L2-norm and L∞-norm. The accuracy of the presented method is demonstrated by two test problems. The numerical results are found to be in good agreement with the exact solutions.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=B-spline" title="B-spline">B-spline</a>, <a href="https://publications.waset.org/search?q=collocation%20method" title=" collocation method"> collocation method</a>, <a href="https://publications.waset.org/search?q=second-order%20hyperbolic%20telegraph%20equation" title=" second-order hyperbolic telegraph equation"> second-order hyperbolic telegraph equation</a>, <a href="https://publications.waset.org/search?q=difference%20schemes." title=" difference schemes."> difference schemes.</a> </p> <a href="https://publications.waset.org/4298/septic-b-spline-collocation-method-for-solving-one-dimensional-hyperbolic-telegraph-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4298/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4298/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4298/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4298/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4298/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4298/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4298/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4298/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4298/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4298/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4298.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1797</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1454</span> Mass Transfer Modeling of Nitrate in an Ion Exchange Selective Resin</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.%20A.%20Hekmatzadeh">A. A. Hekmatzadeh</a>, <a href="https://publications.waset.org/search?q=A.%20Karimi-Jashani"> A. Karimi-Jashani</a>, <a href="https://publications.waset.org/search?q=N.%20Talebbeydokhti"> N. Talebbeydokhti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The rate of nitrate adsorption by a nitrate selective ion exchange resin was investigated in a well-stirred batch experiments. The kinetic experimental data were simulated with diffusion models including external mass transfer, particle diffusion and chemical adsorption. Particle pore volume diffusion and particle surface diffusion were taken into consideration separately and simultaneously in the modeling. The model equations were solved numerically using the Crank-Nicholson scheme. An optimization technique was employed to optimize the model parameters. All nitrate concentration decay data were well described with the all diffusion models. The results indicated that the kinetic process is initially controlled by external mass transfer and then by particle diffusion. The external mass transfer coefficient and the coefficients of pore volume diffusion and surface diffusion in all experiments were close to each other with the average value of 8.3脳10-3 cm/S for external mass transfer coefficient. In addition, the models are more sensitive to the mass transfer coefficient in comparison with particle diffusion. Moreover, it seems that surface diffusion is the dominant particle diffusion in comparison with pore volume diffusion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=External%20mass%20transfer" title="External mass transfer">External mass transfer</a>, <a href="https://publications.waset.org/search?q=pore%20volume%20diffusion" title=" pore volume diffusion"> pore volume diffusion</a>, <a href="https://publications.waset.org/search?q=surface%20diffusion" title=" surface diffusion"> surface diffusion</a>, <a href="https://publications.waset.org/search?q=mass%20action%20law%20isotherm." title=" mass action law isotherm."> mass action law isotherm.</a> </p> <a href="https://publications.waset.org/12632/mass-transfer-modeling-of-nitrate-in-an-ion-exchange-selective-resin" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12632/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12632/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12632/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12632/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12632/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12632/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12632/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12632/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12632/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12632/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12632.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2243</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1453</span> Modeling and Simulating Reaction-Diffusion Systems with State-Dependent Diffusion Coefficients</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Paola%20Lecca">Paola Lecca</a>, <a href="https://publications.waset.org/search?q=Lorenzo%20Dematte"> Lorenzo Dematte</a>, <a href="https://publications.waset.org/search?q=Corrado%20Priami"> Corrado Priami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The present models and simulation algorithms of intracellular stochastic kinetics are usually based on the premise that diffusion is so fast that the concentrations of all the involved species are homogeneous in space. However, recents experimental measurements of intracellular diffusion constants indicate that the assumption of a homogeneous well-stirred cytosol is not necessarily valid even for small prokaryotic cells. In this work a mathematical treatment of diffusion that can be incorporated in a stochastic algorithm simulating the dynamics of a reaction-diffusion system is presented. The movement of a molecule A from a region i to a region j of the space is represented as a first order reaction Ai k- ! Aj , where the rate constant k depends on the diffusion coefficient. The diffusion coefficients are modeled as function of the local concentration of the solutes, their intrinsic viscosities, their frictional coefficients and the temperature of the system. The stochastic time evolution of the system is given by the occurrence of diffusion events and chemical reaction events. At each time step an event (reaction or diffusion) is selected from a probability distribution of waiting times determined by the intrinsic reaction kinetics and diffusion dynamics. To demonstrate the method the simulation results of the reaction-diffusion system of chaperoneassisted protein folding in cytoplasm are shown.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Reaction-diffusion%20systems" title="Reaction-diffusion systems">Reaction-diffusion systems</a>, <a href="https://publications.waset.org/search?q=diffusion%20coefficient" title=" diffusion coefficient"> diffusion coefficient</a>, <a href="https://publications.waset.org/search?q=stochastic%20simulation%20algorithm." title=" stochastic simulation algorithm."> stochastic simulation algorithm.</a> </p> <a href="https://publications.waset.org/461/modeling-and-simulating-reaction-diffusion-systems-with-state-dependent-diffusion-coefficients" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/461/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/461/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/461/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/461/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/461/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/461/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/461/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/461/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/461/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/461/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/461.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1526</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1452</span> A Comparison of Recent Methods for Solving a Model 1D Convection Diffusion Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ashvin%20Gopaul">Ashvin Gopaul</a>, <a href="https://publications.waset.org/search?q=Jayrani%20Cheeneebash"> Jayrani Cheeneebash</a>, <a href="https://publications.waset.org/search?q=Kamleshsing%20Baurhoo"> Kamleshsing Baurhoo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we study some numerical methods to solve a model one-dimensional convection–diffusion equation. The semi-discretisation of the space variable results into a system of ordinary differential equations and the solution of the latter involves the evaluation of a matrix exponent. Since the calculation of this term is computationally expensive, we study some methods based on Krylov subspace and on Restrictive Taylor series approximation respectively. We also consider the Chebyshev Pseudospectral collocation method to do the spatial discretisation and we present the numerical solution obtained by these methods.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chebyshev%20Pseudospectral%20collocation%20method" title="Chebyshev Pseudospectral collocation method">Chebyshev Pseudospectral collocation method</a>, <a href="https://publications.waset.org/search?q=convection-diffusion%20equation" title=" convection-diffusion equation"> convection-diffusion equation</a>, <a href="https://publications.waset.org/search?q=restrictive%20Taylor%20approximation." title=" restrictive Taylor approximation."> restrictive Taylor approximation.</a> </p> <a href="https://publications.waset.org/8074/a-comparison-of-recent-methods-for-solving-a-model-1d-convection-diffusion-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8074/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8074/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8074/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8074/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8074/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8074/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8074/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8074/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8074/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8074/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8074.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1680</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1451</span> Analysis of One Dimensional Advection Diffusion Model Using Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Vijay%20Kumar%20Kukreja">Vijay Kumar Kukreja</a>, <a href="https://publications.waset.org/search?q=Ravneet%20Kaur"> Ravneet Kaur</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, one dimensional advection diffusion model is analyzed using finite difference method based on Crank-Nicolson scheme. A practical problem of filter cake washing of chemical engineering is analyzed. The model is converted into dimensionless form. For the grid Ω × ω = [0, 1] × [0, T], the Crank-Nicolson spatial derivative scheme is used in space domain and forward difference scheme is used in time domain. The scheme is found to be unconditionally convergent, stable, first order accurate in time and second order accurate in space domain. For a test problem, numerical results are compared with the analytical ones for different values of parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Consistency" title="Consistency">Consistency</a>, <a href="https://publications.waset.org/search?q=Crank-Nicolson%20scheme" title=" Crank-Nicolson scheme"> Crank-Nicolson scheme</a>, <a href="https://publications.waset.org/search?q=Gerschgorin%0D%0Acircle" title=" Gerschgorin circle"> Gerschgorin circle</a>, <a href="https://publications.waset.org/search?q=Lax-Richtmyer%20theorem" title=" Lax-Richtmyer theorem"> Lax-Richtmyer theorem</a>, <a href="https://publications.waset.org/search?q=Peclet%20number" title=" Peclet number"> Peclet number</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/10010828/analysis-of-one-dimensional-advection-diffusion-model-using-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10010828/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10010828/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10010828/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10010828/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10010828/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10010828/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10010828/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10010828/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10010828/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10010828/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10010828.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">761</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1450</span> On Diffusion Approximation of Discrete Markov Dynamical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jevgenijs%20Carkovs">Jevgenijs Carkovs</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper is devoted to stochastic analysis of finite dimensional difference equation with dependent on ergodic Markov chain increments, which are proportional to small parameter ". A point-form solution of this difference equation may be represented as vertexes of a time-dependent continuous broken line given on the segment [0,1] with "-dependent scaling of intervals between vertexes. Tending " to zero one may apply stochastic averaging and diffusion approximation procedures and construct continuous approximation of the initial stochastic iterations as an ordinary or stochastic Ito differential equation. The paper proves that for sufficiently small " these equations may be successfully applied not only to approximate finite number of iterations but also for asymptotic analysis of iterations, when number of iterations tends to infinity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Markov%20dynamical%20system" title="Markov dynamical system">Markov dynamical system</a>, <a href="https://publications.waset.org/search?q=diffusion%20approximation" title=" diffusion approximation"> diffusion approximation</a>, <a href="https://publications.waset.org/search?q=equilibrium%20stochastic%20stability." title="equilibrium stochastic stability.">equilibrium stochastic stability.</a> </p> <a href="https://publications.waset.org/4982/on-diffusion-approximation-of-discrete-markov-dynamical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4982/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4982/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4982/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4982/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4982/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4982/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4982/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4982/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4982/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4982/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4982.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1579</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1449</span> Prediction of Time to Crack Reinforced Concrete by Chloride Induced Corrosion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Anuruddha%20Jayasuriya">Anuruddha Jayasuriya</a>, <a href="https://publications.waset.org/search?q=Thanakorn%20Pheeraphan"> Thanakorn Pheeraphan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a review of different mathematical models which can be used as prediction tools to assess the time to crack reinforced concrete (RC) due to corrosion is investigated. This investigation leads to an experimental study to validate a selected prediction model. Most of these mathematical models depend upon the mechanical behaviors, chemical behaviors, electrochemical behaviors or geometric aspects of the RC members during a corrosion process. The experimental program is designed to verify the accuracy of a well-selected mathematical model from a rigorous literature study. Fundamentally, the experimental program exemplifies both one-dimensional chloride diffusion using RC squared slab elements of 500 mm by 500 mm and two-dimensional chloride diffusion using RC squared column elements of 225 mm by 225 mm by 500 mm. Each set consists of three water-to-cement ratios (w/c); 0.4, 0.5, 0.6 and two cover depths; 25 mm and 50 mm. 12 mm bars are used for column elements and 16 mm bars are used for slab elements. All the samples are subjected to accelerated chloride corrosion in a chloride bath of 5% (w/w) sodium chloride (NaCl) solution. Based on a pre-screening of different models, it is clear that the well-selected mathematical model had included mechanical properties, chemical and electrochemical properties, nature of corrosion whether it is accelerated or natural, and the amount of porous area that rust products can accommodate before exerting expansive pressure on the surrounding concrete. The experimental results have shown that the selected model for both one-dimensional and two-dimensional chloride diffusion had ±20% and ±10% respective accuracies compared to the experimental output. The half-cell potential readings are also used to see the corrosion probability, and experimental results have shown that the mass loss is proportional to the negative half-cell potential readings that are obtained. Additionally, a statistical analysis is carried out in order to determine the most influential factor that affects the time to corrode the reinforcement in the concrete due to chloride diffusion. The factors considered for this analysis are w/c, bar diameter, and cover depth. The analysis is accomplished by using Minitab statistical software, and it showed that cover depth is the significant effect on the time to crack the concrete from chloride induced corrosion than other factors considered. Thus, the time predictions can be illustrated through the selected mathematical model as it covers a wide range of factors affecting the corrosion process, and it can be used to predetermine the durability concern of RC structures that are vulnerable to chloride exposure. And eventually, it is further concluded that cover thickness plays a vital role in durability in terms of chloride diffusion.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Accelerated%20corrosion" title="Accelerated corrosion">Accelerated corrosion</a>, <a href="https://publications.waset.org/search?q=chloride%20diffusion" title=" chloride diffusion"> chloride diffusion</a>, <a href="https://publications.waset.org/search?q=corrosion%20cracks" title=" corrosion cracks"> corrosion cracks</a>, <a href="https://publications.waset.org/search?q=passivation%20layer" title=" passivation layer"> passivation layer</a>, <a href="https://publications.waset.org/search?q=reinforcement%20corrosion." title=" reinforcement corrosion."> reinforcement corrosion.</a> </p> <a href="https://publications.waset.org/10007834/prediction-of-time-to-crack-reinforced-concrete-by-chloride-induced-corrosion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007834/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007834/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007834/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007834/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007834/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007834/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007834/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007834/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007834/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007834/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007834.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">896</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1448</span> A Numerical Model to Study the Rapid Buffering Approximation near an Open Ca2+ Channel for an Unsteady State Case</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Leena%20Sharma">Leena Sharma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Chemical reaction and diffusion are important phenomena in quantitative neurobiology and biophysics. The knowledge of the dynamics of calcium Ca<sup>2+</sup> is very important in cellular physiology because Ca<sup>2+</sup> binds to many proteins and regulates their activity and interactions Calcium waves propagate inside cells due to a regenerative mechanism known as calcium-induced calcium release. Buffer-mediated calcium diffusion in the cytosol plays a crucial role in the process. A mathematical model has been developed for calcium waves by assuming the buffers are in equilibrium with calcium i.e., the rapid buffering approximation for a one dimensional unsteady state case. This model incorporates important physical and physiological parameters like dissociation rate, diffusion rate, total buffer concentration and influx. The finite difference method has been employed to predict [Ca<sup>2+</sup>] and buffer concentration time course regardless of the calcium influx. The comparative studies of the effect of the rapid buffered diffusion and kinetic parameters of the model on the concentration time course have been performed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Calcium%20Profile" title="Calcium Profile">Calcium Profile</a>, <a href="https://publications.waset.org/search?q=Rapid%20Buffering%20Approximation" title=" Rapid Buffering Approximation"> Rapid Buffering Approximation</a>, <a href="https://publications.waset.org/search?q=Influx" title=" Influx"> Influx</a>, <a href="https://publications.waset.org/search?q=Dissociation%20rate%20constant." title=" Dissociation rate constant. "> Dissociation rate constant. </a> </p> <a href="https://publications.waset.org/9997886/a-numerical-model-to-study-the-rapid-buffering-approximation-near-an-open-ca2-channel-for-an-unsteady-state-case" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997886/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997886/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997886/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997886/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997886/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997886/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997886/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997886/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997886/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997886/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997886.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1844</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1447</span> Multigrid Bilateral Filter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zongqing%20Lu">Zongqing Lu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It has proved that nonlinear diffusion and bilateral filtering (BF) have a closed connection. Early effort and contribution are to find a generalized representation to link them by using adaptive filtering. In this paper a new further relationship between nonlinear diffusion and bilateral filtering is explored which pays more attention to numerical calculus. We give a fresh idea that bilateral filtering can be accelerated by multigrid (MG) scheme which likes the nonlinear diffusion, and show that a bilateral filtering process with large kernel size can be approximated by a nonlinear diffusion process based on full multigrid (FMG) scheme. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bilateral%20filter" title="Bilateral filter">Bilateral filter</a>, <a href="https://publications.waset.org/search?q=multigrid" title=" multigrid"> multigrid</a> </p> <a href="https://publications.waset.org/15927/multigrid-bilateral-filter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15927/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15927/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15927/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15927/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15927/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15927/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15927/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15927/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15927/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15927/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15927.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1865</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1446</span> A Study of Numerical Reaction-Diffusion Systems on Closed Surfaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mei-Hsiu%20Chi">Mei-Hsiu Chi</a>, <a href="https://publications.waset.org/search?q=Jyh-Yang%20Wu"> Jyh-Yang Wu</a>, <a href="https://publications.waset.org/search?q=Sheng-Gwo%20Chen"> Sheng-Gwo Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The diffusion-reaction equations are important Partial Differential Equations in mathematical biology, material science, physics, and so on. However, finding efficient numerical methods for diffusion-reaction systems on curved surfaces is still an important and difficult problem. The purpose of this paper is to present a convergent geometric method for solving the reaction-diffusion equations on closed surfaces by an O(r)-LTL configuration method. The O(r)-LTL configuration method combining the local tangential lifting technique and configuration equations is an effective method to estimate differential quantities on curved surfaces. Since estimating the Laplace-Beltrami operator is an important task for solving the reaction-diffusion equations on surfaces, we use the local tangential lifting method and a generalized finite difference method to approximate the Laplace-Beltrami operators and we solve this reaction-diffusion system on closed surfaces. Our method is not only conceptually simple, but also easy to implement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Close%20surfaces" title="Close surfaces">Close surfaces</a>, <a href="https://publications.waset.org/search?q=high-order%20approach" title=" high-order approach"> high-order approach</a>, <a href="https://publications.waset.org/search?q=numerical%20solutions" title=" numerical solutions"> numerical solutions</a>, <a href="https://publications.waset.org/search?q=reaction-diffusion%20systems." title=" reaction-diffusion systems. "> reaction-diffusion systems. </a> </p> <a href="https://publications.waset.org/10005660/a-study-of-numerical-reaction-diffusion-systems-on-closed-surfaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005660/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005660/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005660/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005660/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005660/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005660/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005660/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005660/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005660/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005660/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005660.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1268</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1445</span> Chloride Transport in Ultra High Performance Concrete</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=R.%20Pernicov%C3%A1">R. Pernicov谩</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Chloride resistance in Ultra High Performance Concrete (UHPC) is determined in this paper. This work deals with the one dimension chloride transport, which can be potentially dangerous particularly for the durability of concrete structures. Risk of reinforcement corrosion due to exposure to the concrete surface to direct the action of chloride ions (mainly in the form de-icing salts or groundwater) is dangerously increases. The measured data are investigated depending on the depth of penetration of chloride ions into the concrete structure. Comparative measurements with normal strength concrete are done as well. The experimental results showed that UHCP have improved resistance of chlorides penetration than NSC and also chloride diffusion depth is significantly lower in UHCP.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chloride" title="Chloride">Chloride</a>, <a href="https://publications.waset.org/search?q=One%20dimensional%20diffusion" title=" One dimensional diffusion"> One dimensional diffusion</a>, <a href="https://publications.waset.org/search?q=Transport" title=" Transport"> Transport</a>, <a href="https://publications.waset.org/search?q=Salinity" title=" Salinity"> Salinity</a>, <a href="https://publications.waset.org/search?q=UHPC." title=" UHPC."> UHPC.</a> </p> <a href="https://publications.waset.org/9999639/chloride-transport-in-ultra-high-performance-concrete" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999639/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999639/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999639/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999639/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999639/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999639/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999639/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999639/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999639/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999639/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999639.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2101</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1444</span> The Effects of Tissue Optical Parameters and Interface Reflectivity on Light Diffusion in Biological Tissues</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=MA.%20Ansari">MA. Ansari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In cancer progress, the optical properties of tissues like absorption and scattering coefficient change, so by these changes, we can trace the progress of cancer, even it can be applied for pre-detection of cancer. In this paper, we investigate the effects of changes of optical properties on light penetrated into tissues. The diffusion equation is widely used to simulate light propagation into biological tissues. In this study, the boundary integral method (BIM) is used to solve the diffusion equation. We illustrate that the changes of optical properties can modified the reflectance or penetrating light. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Diffusion%20equation" title="Diffusion equation">Diffusion equation</a>, <a href="https://publications.waset.org/search?q=boundary%20element%20method" title=" boundary element method"> boundary element method</a>, <a href="https://publications.waset.org/search?q=refractive%20index" title=" refractive index"> refractive index</a> </p> <a href="https://publications.waset.org/5705/the-effects-of-tissue-optical-parameters-and-interface-reflectivity-on-light-diffusion-in-biological-tissues" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5705/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5705/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5705/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5705/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5705/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5705/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5705/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5705/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5705/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5705/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5705.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2018</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1443</span> Empirical Study on the Diffusion of Smartphones and Consumer Behaviour</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=F.%20Isada">F. Isada</a>, <a href="https://publications.waset.org/search?q=Y.%20Isada"> Y. Isada</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this research, the diffusion of innovation regarding smartphone usage is analysed through a consumer behaviour theory. This research aims to determine whether a pattern surrounding the diffusion of innovation exists. As a methodology, an empirical study of the switch from a conventional cell phone to a smartphone was performed. Specifically, a questionnaire survey was completed by general consumers, and the situational and behavioural characteristics of switching from a cell phone to a smartphone were analysed. In conclusion, we found that the speed of the diffusion of innovation, the consumer behaviour characteristics, and the utilities of the product vary according to the stage of the product life cycle.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Diffusion%20of%20innovation" title="Diffusion of innovation">Diffusion of innovation</a>, <a href="https://publications.waset.org/search?q=consumer%20behaviour" title=" consumer behaviour"> consumer behaviour</a>, <a href="https://publications.waset.org/search?q=product%20life%20cycle" title=" product life cycle"> product life cycle</a>, <a href="https://publications.waset.org/search?q=smartphone" title=" smartphone"> smartphone</a>, <a href="https://publications.waset.org/search?q=empirical%20study" title=" empirical study"> empirical study</a>, <a href="https://publications.waset.org/search?q=questionnaire%20survey." title=" questionnaire survey."> questionnaire survey.</a> </p> <a href="https://publications.waset.org/9999177/empirical-study-on-the-diffusion-of-smartphones-and-consumer-behaviour" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999177/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999177/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999177/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999177/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999177/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999177/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999177/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999177/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999177/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999177/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999177.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2785</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1442</span> One-Dimensional Performance Improvement of a Single-Stage Transonic Compressor </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.%20Shahsavari">A. Shahsavari</a>, <a href="https://publications.waset.org/search?q=M.%20Nili-Ahmadabadi"> M. Nili-Ahmadabadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents an innovative one-dimensional optimization of a transonic compressor based on the radial equilibrium theory by means of increasing blade loading. Firstly, the rotor blade of the transonic compressor is redesigned based on the constant span-wise deHaller number and diffusion. The code is applied to extract compressor meridional plane and blade to blade geometry containing rotor and stator in order to design blade three-dimensional view. A structured grid is generated for the numerical domain of fluid. Finer grids are used for regions near walls to capture boundary layer effects and behavior. RANS equations are solved by finite volume method for rotating zones (rotor) and stationary zones (stator). The experimental data, available for the performance map of NASA Rotor67, is used to validate the results of simulations. Then, the capability of the design method is validated by CFD that is capable of predicting the performance map. The numerical results of new geometry show about 19% increase in pressure ratio and 11% improvement in overall efficiency of the transonic stage; however, the design point mass flow rate of the new compressor is 5.7% less than that of the original compressor.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=One%20dimensional%20design" title="One dimensional design">One dimensional design</a>, <a href="https://publications.waset.org/search?q=deHaller%20number" title=" deHaller number"> deHaller number</a>, <a href="https://publications.waset.org/search?q=radial%20equilibrium" title=" radial equilibrium"> radial equilibrium</a>, <a href="https://publications.waset.org/search?q=transonic%20compressor." title=" transonic compressor."> transonic compressor.</a> </p> <a href="https://publications.waset.org/10006852/one-dimensional-performance-improvement-of-a-single-stage-transonic-compressor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006852/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006852/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006852/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006852/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006852/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006852/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006852/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006852/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006852/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006852/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006852.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1048</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1441</span> Diffusion and Impact of Business Analytics: A Conceptual Framework</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ramakrishnan%20Ramanathan">Ramakrishnan Ramanathan</a>, <a href="https://publications.waset.org/search?q=Yanqing%20Duan"> Yanqing Duan</a>, <a href="https://publications.waset.org/search?q=Guangming%20Cao"> Guangming Cao</a>, <a href="https://publications.waset.org/search?q=Elaine%20Philpott"> Elaine Philpott</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We discuss a theoretical conceptual framework to help understand how the new business analytics technologies have diffused in firms. We draw on three theoretical perspectives for this purpose. They are innovation diffusion theory, IT Business Value and the technology-organization-environment theory. We develop a conceptual framework that helps understand the interlinkages among factors affecting diffusion of business analytics and its impact on performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Innovation%20diffusion" title="Innovation diffusion">Innovation diffusion</a>, <a href="https://publications.waset.org/search?q=IT-Business%20Value" title=" IT-Business Value"> IT-Business Value</a>, <a href="https://publications.waset.org/search?q=Technology-Organization-Environment" title=" Technology-Organization-Environment"> Technology-Organization-Environment</a>, <a href="https://publications.waset.org/search?q=Business%20Analytics" title=" Business Analytics"> Business Analytics</a>, <a href="https://publications.waset.org/search?q=Business%20performance" title=" Business performance"> Business performance</a> </p> <a href="https://publications.waset.org/1919/diffusion-and-impact-of-business-analytics-a-conceptual-framework" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1919/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1919/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1919/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1919/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1919/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1919/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1919/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1919/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1919/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1919/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1919.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2149</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1440</span> Influence Maximization in Dynamic Social Networks and Graphs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Gkolfo%20I.%20Smani">Gkolfo I. Smani</a>, <a href="https://publications.waset.org/search?q=Vasileios%20Megalooikonomou"> Vasileios Megalooikonomou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Influence and influence diffusion have been studied extensively in social networks. However, most existing literature on this task are limited on static networks, ignoring the fact that the interactions between users change over time. In this paper, the problem of maximizing influence diffusion in dynamic social networks, i.e., the case of networks that change over time is studied. The DM algorithm is an extension of Matrix Influence (MATI) algorithm and solves the Influence Maximization (IM) problem in dynamic networks and is proposed under the Linear Threshold (LT) and Independent Cascade (IC) models. Experimental results show that our proposed algorithm achieves a diffusion performance better by 1.5 times than several state-of-the-art algorithms and comparable results in diffusion scale with the Greedy algorithm. Also, the proposed algorithm is 2.4 times faster than previous methods.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Influence%20maximization" title="Influence maximization">Influence maximization</a>, <a href="https://publications.waset.org/search?q=dynamic%20social%20networks" title=" dynamic social networks"> dynamic social networks</a>, <a href="https://publications.waset.org/search?q=diffusion" title=" diffusion"> diffusion</a>, <a href="https://publications.waset.org/search?q=social%20influence." title=" social influence."> social influence.</a> </p> <a href="https://publications.waset.org/10012778/influence-maximization-in-dynamic-social-networks-and-graphs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012778/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012778/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012778/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012778/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012778/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012778/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012778/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012778/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012778/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012778/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012778.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">420</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1439</span> The Comparison of Finite Difference Methods for Radiation Diffusion Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ren%20Jian">Ren Jian</a>, <a href="https://publications.waset.org/search?q=Yang%20Shulin"> Yang Shulin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the difference between the Alternating Direction Method (ADM) and the Non-Splitting Method (NSM) is investigated, while both methods applied to the simulations for 2-D multimaterial radiation diffusion issues. Although the ADM have the same accuracy orders with the NSM on the uniform meshes, the accuracy of ADM will decrease on the distorted meshes or the boundary of domain. Numerical experiments are carried out to confirm the theoretical predication. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Alternating%20Direction%20Method" title="Alternating Direction Method">Alternating Direction Method</a>, <a href="https://publications.waset.org/search?q=Non-SplittingMethod" title=" Non-SplittingMethod"> Non-SplittingMethod</a>, <a href="https://publications.waset.org/search?q=Radiation%20Diffusion." title=" Radiation Diffusion."> Radiation Diffusion.</a> </p> <a href="https://publications.waset.org/12378/the-comparison-of-finite-difference-methods-for-radiation-diffusion-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12378/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12378/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12378/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12378/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12378/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12378/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12378/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12378/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12378/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12378/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12378.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1424</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1438</span> Formation of Chemical Compound Layer at the Interface of Initial Substances A and B with Dominance of Diffusion of the A Atoms </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Pavlo%20Selyshchev">Pavlo Selyshchev</a>, <a href="https://publications.waset.org/search?q=Samuel%20Akintunde"> Samuel Akintunde </a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A theoretical approach to consider formation of chemical compound layer at the interface between initial substances <em>A</em> and <em>B</em> due to the interfacial interaction and diffusion is developed. It is considered situation when speed of interfacial interaction is large enough and diffusion of <em>A</em>-atoms through <em>AB</em>-layer is much more then diffusion of <em>B</em>-atoms. Atoms from <em>A</em>-layer diffuse toward <em>B</em>-atoms and form <em>AB</em>-atoms on the surface of <em>B</em>-layer. <em>B</em>-atoms are assumed to be immobile. The growth kinetics of the <em>AB</em>-layer is described by two differential equations with non-linear coupling, producing a good fit to the experimental data. It is shown that growth of the thickness of the <em>AB</em>-layer determines by dependence of chemical reaction rate on reactants concentration. In special case the thickness of the <em>AB</em>-layer can grow linearly or parabolically depending on that which of processes (interaction or the diffusion) controls the growth. The thickness of <em>AB</em>-layer as function of time is obtained. The moment of time (transition point) at which the linear growth are changed by parabolic is found.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Phase%20formation" title="Phase formation">Phase formation</a>, <a href="https://publications.waset.org/search?q=Binary%20systems" title=" Binary systems"> Binary systems</a>, <a href="https://publications.waset.org/search?q=Interfacial%20Reaction" title=" Interfacial Reaction"> Interfacial Reaction</a>, <a href="https://publications.waset.org/search?q=Diffusion" title=" Diffusion"> Diffusion</a>, <a href="https://publications.waset.org/search?q=Compound%20layers" title=" Compound layers"> Compound layers</a>, <a href="https://publications.waset.org/search?q=Growth%20kinetics." title=" Growth kinetics. "> Growth kinetics. </a> </p> <a href="https://publications.waset.org/9998530/formation-of-chemical-compound-layer-at-the-interface-of-initial-substances-a-and-b-with-dominance-of-diffusion-of-the-a-atoms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998530/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998530/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998530/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998530/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998530/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998530/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998530/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998530/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998530/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998530/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998530.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1761</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1437</span> Investigation of Mesoporous Silicon Carbonization Process</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=N.%20I.%20Kargin">N. I. Kargin</a>, <a href="https://publications.waset.org/search?q=G.%20K.%20Safaraliev"> G. K. Safaraliev</a>, <a href="https://publications.waset.org/search?q=A.%20S.%20Gusev"> A. S. Gusev</a>, <a href="https://publications.waset.org/search?q=A.%20O.%20Sultanov"> A. O. Sultanov</a>, <a href="https://publications.waset.org/search?q=N.%20V.%20Siglovaya"> N. V. Siglovaya</a>, <a href="https://publications.waset.org/search?q=S.%20M.%20Ryndya"> S. M. Ryndya</a>, <a href="https://publications.waset.org/search?q=A.%20A.%20Timofeev"> A. A. Timofeev</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, an experimental and theoretical study of the processes of mesoporous silicon carbonization during the formation of buffer layers for the subsequent epitaxy of 3C-SiC films and related wide-band-gap semiconductors is performed. Experimental samples were obtained by the method of chemical vapor deposition and investigated by scanning electron microscopy. Analytic expressions were obtained for the effective diffusion factor and carbon atoms diffusion length in a porous system. The proposed model takes into account the processes of Knudsen diffusion, coagulation and overgrowing of pores during the formation of a silicon carbide layer.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Silicon%20carbide" title="Silicon carbide">Silicon carbide</a>, <a href="https://publications.waset.org/search?q=porous%20silicon" title=" porous silicon"> porous silicon</a>, <a href="https://publications.waset.org/search?q=carbonization" title=" carbonization"> carbonization</a>, <a href="https://publications.waset.org/search?q=electrochemical%20etching" title=" electrochemical etching"> electrochemical etching</a>, <a href="https://publications.waset.org/search?q=diffusion." title=" diffusion."> diffusion.</a> </p> <a href="https://publications.waset.org/10008729/investigation-of-mesoporous-silicon-carbonization-process" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10008729/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10008729/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10008729/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10008729/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10008729/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10008729/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10008729/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10008729/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10008729/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10008729/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10008729.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">918</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1436</span> Scatterer Density in Nonlinear Diffusion for Speckle Reduction in Ultrasound Imaging: The Isotropic Case</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ahmed%20Badawi">Ahmed Badawi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper proposes a method for speckle reduction in medical ultrasound imaging while preserving the edges with the added advantages of adaptive noise filtering and speed. A nonlinear image diffusion method that incorporates local image parameter, namely, scatterer density in addition to gradient, to weight the nonlinear diffusion process, is proposed. The method was tested for the isotropic case with a contrast detail phantom and varieties of clinical ultrasound images, and then compared to linear and some other diffusion enhancement methods. Different diffusion parameters were tested and tuned to best reduce speckle noise and preserve edges. The method showed superior performance measured both quantitatively and qualitatively when incorporating scatterer density into the diffusivity function. The proposed filter can be used as a preprocessing step for ultrasound image enhancement before applying automatic segmentation, automatic volumetric calculations, or 3D ultrasound volume rendering. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ultrasound%20imaging" title="Ultrasound imaging">Ultrasound imaging</a>, <a href="https://publications.waset.org/search?q=Nonlinear%20isotropic%20diffusion" title=" Nonlinear isotropic diffusion"> Nonlinear isotropic diffusion</a>, <a href="https://publications.waset.org/search?q=Speckle%20noise" title=" Speckle noise"> Speckle noise</a>, <a href="https://publications.waset.org/search?q=Scattering." title=" Scattering."> Scattering.</a> </p> <a href="https://publications.waset.org/1022/scatterer-density-in-nonlinear-diffusion-for-speckle-reduction-in-ultrasound-imaging-the-isotropic-case" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1022/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1022/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1022/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1022/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1022/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1022/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1022/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1022/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1022/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1022/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1022.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1951</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1435</span> Analysis of a Spatiotemporal Phytoplankton Dynamics: Higher Order Stability and Pattern Formation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Randhir%20Singh%20Baghel">Randhir Singh Baghel</a>, <a href="https://publications.waset.org/search?q=Joydip%20Dhar"> Joydip Dhar</a>, <a href="https://publications.waset.org/search?q=Renu%20Jain"> Renu Jain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, for the understanding of the phytoplankton dynamics in marine ecosystem, a susceptible and an infected class of phytoplankton population is considered in spatiotemporal domain. Here, the susceptible phytoplankton is growing logistically and the growth of infected phytoplankton is due to the instantaneous Holling type-II infection response function. The dynamics are studied in terms of the local and global stabilities for the system and further explore the possibility of Hopf -bifurcation, taking the half saturation period as (i.e., ) the bifurcation parameter in temporal domain. It is also observe that the reaction diffusion system exhibits spatiotemporal chaos and pattern formation in phytoplankton dynamics, which is particularly important role play for the spatially extended phytoplankton system. Also the effect of the diffusion coefficient on the spatial system for both one and two dimensional case is obtained. Furthermore, we explore the higher-order stability analysis of the spatial phytoplankton system for both linear and no-linear system. Finally, few numerical simulations are carried out for pattern formation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Phytoplankton%20dynamics" title="Phytoplankton dynamics">Phytoplankton dynamics</a>, <a href="https://publications.waset.org/search?q=Reaction-diffusion%20system" title=" Reaction-diffusion system"> Reaction-diffusion system</a>, <a href="https://publications.waset.org/search?q=Local%20stability" title=" Local stability"> Local stability</a>, <a href="https://publications.waset.org/search?q=Hopf-bifurcation" title=" Hopf-bifurcation"> Hopf-bifurcation</a>, <a href="https://publications.waset.org/search?q=Global%20stability" title=" Global stability"> Global stability</a>, <a href="https://publications.waset.org/search?q=Chaos" title=" Chaos"> Chaos</a>, <a href="https://publications.waset.org/search?q=Pattern%20Formation" title=" Pattern Formation"> Pattern Formation</a>, <a href="https://publications.waset.org/search?q=Higher-order%20stability%20analysis." title=" Higher-order stability analysis."> Higher-order stability analysis.</a> </p> <a href="https://publications.waset.org/12349/analysis-of-a-spatiotemporal-phytoplankton-dynamics-higher-order-stability-and-pattern-formation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12349/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12349/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12349/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12349/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12349/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12349/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12349/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12349/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12349/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12349/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12349.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1651</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1434</span> Lattice Monte Carlo Analyses of Thermal Diffusion in Laminar Flow</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Thomas%20Fiedler">Thomas Fiedler</a>, <a href="https://publications.waset.org/search?q=Irina%20V.%20Belova"> Irina V. Belova</a>, <a href="https://publications.waset.org/search?q=Graeme%20E.%20Murch"> Graeme E. Murch</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Lattice Monte Carlo methods are an excellent choice for the simulation of non-linear thermal diffusion problems. In this paper, and for the first time, Lattice Monte Carlo analysis is performed on thermal diffusion combined with convective heat transfer. Laminar flow of water modeled as an incompressible fluid inside a copper pipe with a constant surface temperature is considered. For the simulation of thermal conduction, the temperature dependence of the thermal conductivity of the water is accounted for. Using the novel Lattice Monte Carlo approach, temperature distributions and energy fluxes are obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Coupled%20Analysis" title="Coupled Analysis">Coupled Analysis</a>, <a href="https://publications.waset.org/search?q=Laminar%20Flow" title=" Laminar Flow"> Laminar Flow</a>, <a href="https://publications.waset.org/search?q=Lattice%20MonteCarlo" title=" Lattice MonteCarlo"> Lattice MonteCarlo</a>, <a href="https://publications.waset.org/search?q=Thermal%20Diffusion" title=" Thermal Diffusion"> Thermal Diffusion</a> </p> <a href="https://publications.waset.org/11969/lattice-monte-carlo-analyses-of-thermal-diffusion-in-laminar-flow" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11969/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11969/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11969/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11969/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11969/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11969/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11969/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11969/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11969/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11969/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11969.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1994</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1433</span> Application of Multi-Dimensional Principal Component Analysis to Medical Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Naoki%20Yamamoto">Naoki Yamamoto</a>, <a href="https://publications.waset.org/search?q=Jun%20Murakami"> Jun Murakami</a>, <a href="https://publications.waset.org/search?q=Chiharu%20Okuma"> Chiharu Okuma</a>, <a href="https://publications.waset.org/search?q=Yutaro%20Shigeto"> Yutaro Shigeto</a>, <a href="https://publications.waset.org/search?q=Satoko%20Saito"> Satoko Saito</a>, <a href="https://publications.waset.org/search?q=Takashi%20Izumi"> Takashi Izumi</a>, <a href="https://publications.waset.org/search?q=Nozomi%20Hayashida"> Nozomi Hayashida</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Multi-dimensional principal component analysis (PCA) is the extension of the PCA, which is used widely as the dimensionality reduction technique in multivariate data analysis, to handle multi-dimensional data. To calculate the PCA the singular value decomposition (SVD) is commonly employed by the reason of its numerical stability. The multi-dimensional PCA can be calculated by using the higher-order SVD (HOSVD), which is proposed by Lathauwer et al., similarly with the case of ordinary PCA. In this paper, we apply the multi-dimensional PCA to the multi-dimensional medical data including the functional independence measure (FIM) score, and describe the results of experimental analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=multi-dimensional%20principal%20component%20analysis" title="multi-dimensional principal component analysis">multi-dimensional principal component analysis</a>, <a href="https://publications.waset.org/search?q=higher-order%20SVD%20%28HOSVD%29" title=" higher-order SVD (HOSVD)"> higher-order SVD (HOSVD)</a>, <a href="https://publications.waset.org/search?q=functional%20independence%20measure%20%28FIM%29" title=" functional independence measure (FIM)"> functional independence measure (FIM)</a>, <a href="https://publications.waset.org/search?q=medical%20data" title=" medical data"> medical data</a>, <a href="https://publications.waset.org/search?q=tensor%20decomposition" title=" tensor decomposition"> tensor decomposition</a> </p> <a href="https://publications.waset.org/5605/application-of-multi-dimensional-principal-component-analysis-to-medical-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5605/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5605/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5605/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5605/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5605/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5605/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5605/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5605/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5605/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5605/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5605.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2502</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1432</span> Finite Volume Model to Study the Effect of Buffer on Cytosolic Ca2+ Advection Diffusion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Brajesh%20Kumar%20Jha">Brajesh Kumar Jha</a>, <a href="https://publications.waset.org/search?q=Neeru%20Adlakha"> Neeru Adlakha</a>, <a href="https://publications.waset.org/search?q=M.%20N.%20Mehta"> M. N. Mehta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Calcium [Ca2+] is an important second messenger which plays an important role in signal transduction. There are several parameters that affect its concentration profile like buffer source etc. The effect of stationary immobile buffer on Ca2+ concentration has been incorporated which is a very important parameter needed to be taken into account in order to make the model more realistic. Interdependence of all the important parameters like diffusion coefficient and influx over [Ca2+] profile has been studied. Model is developed in the form of advection diffusion equation together with buffer concentration. A program has been developed using finite volume method for the entire problem and simulated on an AMD-Turion 32-bit machine to compute the numerical results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ca2%2B%20profile" title="Ca2+ profile">Ca2+ profile</a>, <a href="https://publications.waset.org/search?q=buffer" title=" buffer"> buffer</a>, <a href="https://publications.waset.org/search?q=Astrocytes" title=" Astrocytes"> Astrocytes</a>, <a href="https://publications.waset.org/search?q=Advection%20diffusion" title=" Advection diffusion"> Advection diffusion</a>, <a href="https://publications.waset.org/search?q=FVM" title="FVM">FVM</a> </p> <a href="https://publications.waset.org/13219/finite-volume-model-to-study-the-effect-of-buffer-on-cytosolic-ca2-advection-diffusion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13219/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13219/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13219/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13219/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13219/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13219/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13219/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13219/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13219/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13219/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13219.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1671</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1431</span> Stochastic Simulation of Reaction-Diffusion Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Paola%20Lecca">Paola Lecca</a>, <a href="https://publications.waset.org/search?q=Lorenzo%20Dematte"> Lorenzo Dematte</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Reactiondiffusion systems are mathematical models that describe how the concentration of one or more substances distributed in space changes under the influence of local chemical reactions in which the substances are converted into each other, and diffusion which causes the substances to spread out in space. The classical representation of a reaction-diffusion system is given by semi-linear parabolic partial differential equations, whose general form is ÔêétX(x, t) = DΔX(x, t), where X(x, t) is the state vector, D is the matrix of the diffusion coefficients and Δ is the Laplace operator. If the solute move in an homogeneous system in thermal equilibrium, the diffusion coefficients are constants that do not depend on the local concentration of solvent and of solutes and on local temperature of the medium. In this paper a new stochastic reaction-diffusion model in which the diffusion coefficients are function of the local concentration, viscosity and frictional forces of solvent and solute is presented. Such a model provides a more realistic description of the molecular kinetics in non-homogenoeus and highly structured media as the intra- and inter-cellular spaces. The movement of a molecule A from a region i to a region j of the space is described as a first order reaction Ai k- → Aj , where the rate constant k depends on the diffusion coefficient. Representing the diffusional motion as a chemical reaction allows to assimilate a reaction-diffusion system to a pure reaction system and to simulate it with Gillespie-inspired stochastic simulation algorithms. The stochastic time evolution of the system is given by the occurrence of diffusion events and chemical reaction events. At each time step an event (reaction or diffusion) is selected from a probability distribution of waiting times determined by the specific speed of reaction and diffusion events. Redi is the software tool, developed to implement the model of reaction-diffusion kinetics and dynamics. It is a free software, that can be downloaded from http://www.cosbi.eu. To demonstrate the validity of the new reaction-diffusion model, the simulation results of the chaperone-assisted protein folding in cytoplasm obtained with Redi are reported. This case study is redrawing the attention of the scientific community due to current interests on protein aggregation as a potential cause for neurodegenerative diseases.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Reaction-diffusion%20systems" title="Reaction-diffusion systems">Reaction-diffusion systems</a>, <a href="https://publications.waset.org/search?q=Fick%27s%20law" title=" Fick's law"> Fick's law</a>, <a href="https://publications.waset.org/search?q=stochastic%20simulation%20algorithm." title=" stochastic simulation algorithm."> stochastic simulation algorithm.</a> </p> <a href="https://publications.waset.org/4173/stochastic-simulation-of-reaction-diffusion-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4173/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4173/bibtex" target="_blank" rel="nofollow" class="btn 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