Effect of Different Porous Media Models on Drug Delivery to Solid Tumors: Mathematical Approach

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Models on Drug Delivery to Solid Tumors: Mathematical Approach</title> <meta name="description" content="Effect of Different Porous Media Models on Drug Delivery to Solid Tumors: Mathematical Approach"> <meta name="keywords" content="solid tumor, porous media, Darcy model, Brinkman model, drug delivery"> <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 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publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Effect of Different Porous Media Models on Drug Delivery to Solid Tumors: Mathematical Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mostafa%20Sefidgar">Mostafa Sefidgar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sohrab%20Zendehboudi"> Sohrab Zendehboudi</a>, <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Bazmara"> Hossein Bazmara</a>, <a href="https://publications.waset.org/abstracts/search?q=Madjid%20Soltani"> Madjid Soltani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Based on findings from clinical applications, most drug treatments fail to eliminate malignant tumors completely even though drug delivery through systemic administration may inhibit their growth. Therefore, better understanding of tumor formation is crucial in developing more effective therapeutics. For this purpose, nowadays, solid tumor modeling and simulation results are used to predict how therapeutic drugs are transported to tumor cells by blood flow through capillaries and tissues. A solid tumor is investigated as a porous media for fluid flow simulation. Most of the studies use Darcy model for porous media. In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented. In this study, the effect of these assumptions is studied by considering Brinkman model. A multi scale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects the solid tumor simulation. In this work, the mathematical model in our previous studies is developed by considering two model of momentum equation for porous media: Darcy and Brinkman. The mathematical method involves processes such as fluid flow through solid tumor as porous media, extravasation of blood flow from vessels, blood flow through vessels and solute diffusion, convective transport in extracellular matrix. The sprouting angiogenesis model is used for generating capillary network and then fluid flow governing equations are implemented to calculate blood flow through the tumor-induced capillary network. Finally, the two models of porous media are used for modeling fluid flow in normal and tumor tissues in three different shapes of tumors. Simulations of interstitial fluid transport in a solid tumor demonstrate that the simplifications used in Darcy model affect the interstitial velocity and Brinkman model predicts a lower value for interstitial velocity than the values that Darcy model does. <iframe src="https://publications.waset.org/abstracts/37398.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solid%20tumor" title="solid tumor">solid tumor</a>, <a href="https://publications.waset.org/abstracts/search?q=porous%20media" title=" porous media"> porous media</a>, <a href="https://publications.waset.org/abstracts/search?q=Darcy%20model" title=" Darcy model"> Darcy model</a>, <a href="https://publications.waset.org/abstracts/search?q=Brinkman%20model" title=" Brinkman model"> Brinkman model</a>, <a href="https://publications.waset.org/abstracts/search?q=drug%20delivery" title=" drug delivery"> drug delivery</a> </p> <a href="https://publications.waset.org/abstracts/37398/effect-of-different-porous-media-models-on-drug-delivery-to-solid-tumors-mathematical-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37398.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">306</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational 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Effect of Different Porous Media Models on Drug Delivery to Solid Tumors: Mathematical Approach