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Panos Argyrakis - Academia.edu

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}); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="80690201"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/80690201/Reaction_Diffusion_Model_for_the_A_A_O_Reaction"><img alt="Research paper thumbnail of Reaction-Diffusion Model for the A + A → O Reaction" class="work-thumbnail" src="https://attachments.academia-assets.com/86989326/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/80690201/Reaction_Diffusion_Model_for_the_A_A_O_Reaction">Reaction-Diffusion Model for the A + A → O Reaction</a></div><div class="wp-workCard_item"><span>MRS Proceedings</span><span>, 1994</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACTWe formulate an approach to the A + A → products reaction based on a reaction-diffusion m...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACTWe formulate an approach to the A + A → products reaction based on a reaction-diffusion model. We construct the first equations in a moment hierarchy whose first two members are the global density of A particles and the pair correlation function. We terminate the hierarchy by relating the three-particle correlation function to two-particle correlation functions and thereby obtain a set of coupled equations that turns out to be linear and hence analytically tractable.This approach leads naturally to the proportionality of the rate of the reaction to the pair correlation function evaluated at r=a, where a is the diameter of the reacting particles. It also confirms the relation between anomalous kinetics and the deviation of the pair correlation function from that associated with a random distribution of particles.Numerical simulations in one and two dimensions that support our theory are presented in a companion paper in this session.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b89993ee19f86c59b037afba9f7598b7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:86989326,&quot;asset_id&quot;:80690201,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/86989326/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="80690201"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="80690201"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 80690201; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=80690201]").text(description); $(".js-view-count[data-work-id=80690201]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 80690201; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='80690201']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 80690201, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b89993ee19f86c59b037afba9f7598b7" } } $('.js-work-strip[data-work-id=80690201]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":80690201,"title":"Reaction-Diffusion Model for the A + A → O Reaction","translated_title":"","metadata":{"abstract":"ABSTRACTWe formulate an approach to the A + A → products reaction based on a reaction-diffusion model. 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For spectral dimensions d, ~&amp;lt; 2 we obtain segregation controlled by the source and/or the intrinsic lifetime of the particles. ... KEY WORDS: Diffusion; ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5959cfbd17ea6b0d5e3ab77c095431d8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:86989317,&quot;asset_id&quot;:80690200,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/86989317/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="80690200"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="80690200"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 80690200; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=80690200]").text(description); $(".js-view-count[data-work-id=80690200]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 80690200; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='80690200']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 80690200, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5959cfbd17ea6b0d5e3ab77c095431d8" } } $('.js-work-strip[data-work-id=80690200]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":80690200,"title":"The diffusion-limited reaction A+ B→ 0 on a fractal substrate","translated_title":"","metadata":{"abstract":"We show in this paper how the segregation of reactants in the diffusion-limited reaction A + B ~ 0 on a fractal substrate arises. 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KEY WORDS: Diffusion; ...","internal_url":"https://www.academia.edu/80690200/The_diffusion_limited_reaction_A_B_0_on_a_fractal_substrate","translated_internal_url":"","created_at":"2022-06-04T10:20:07.299-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":36744155,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":86989317,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/86989317/thumbnails/1.jpg","file_name":"10955_2005_Article_BF01049589.pdf","download_url":"https://www.academia.edu/attachments/86989317/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"The_diffusion_limited_reaction_A_B_0_on.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/86989317/10955_2005_Article_BF01049589-libre.pdf?1654364412=\u0026response-content-disposition=attachment%3B+filename%3DThe_diffusion_limited_reaction_A_B_0_on.pdf\u0026Expires=1732455013\u0026Signature=A4MnOIxsR3TmjelqX--2-gKFTJLn7gJ1CIXASWWbQkohlt-ZQbRC6TpTd~TpWxR1YB2PMkMpsnu6qq3-aoZ5lWObo6BDadCTFhX018WOY-s2uvCtuvTxX~Mmbqm0LKtPa6WJyBs~k3FfElq32KE5K0PLOd0VKsiG1ky0rTxCdenKO4Y1O7Lzap0QLKV-eUQ3g6CQOsAnBJ9eKiEtRGVMVG1nV8z8RocYriWyJYNbcKCdfzUAjzXcdtksiZF1sCEP4N8Ux5RJWz5CKSl0wLQd~YR~Cnc7oR-lKOTjakuuFZ8DtatwQ9JlLJCJwn6UCNqVomJx2yjpk6i9I-xdlID8Xw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"The_diffusion_limited_reaction_A_B_0_on_a_fractal_substrate","translated_slug":"","page_count":6,"language":"en","content_type":"Work","owner":{"id":36744155,"first_name":"Panos","middle_initials":null,"last_name":"Argyrakis","page_name":"PanosArgyrakis","domain_name":"independent","created_at":"2015-10-22T05:10:46.773-07:00","display_name":"Panos Argyrakis","url":"https://independent.academia.edu/PanosArgyrakis"},"attachments":[{"id":86989317,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/86989317/thumbnails/1.jpg","file_name":"10955_2005_Article_BF01049589.pdf","download_url":"https://www.academia.edu/attachments/86989317/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"The_diffusion_limited_reaction_A_B_0_on.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/86989317/10955_2005_Article_BF01049589-libre.pdf?1654364412=\u0026response-content-disposition=attachment%3B+filename%3DThe_diffusion_limited_reaction_A_B_0_on.pdf\u0026Expires=1732455013\u0026Signature=A4MnOIxsR3TmjelqX--2-gKFTJLn7gJ1CIXASWWbQkohlt-ZQbRC6TpTd~TpWxR1YB2PMkMpsnu6qq3-aoZ5lWObo6BDadCTFhX018WOY-s2uvCtuvTxX~Mmbqm0LKtPa6WJyBs~k3FfElq32KE5K0PLOd0VKsiG1ky0rTxCdenKO4Y1O7Lzap0QLKV-eUQ3g6CQOsAnBJ9eKiEtRGVMVG1nV8z8RocYriWyJYNbcKCdfzUAjzXcdtksiZF1sCEP4N8Ux5RJWz5CKSl0wLQd~YR~Cnc7oR-lKOTjakuuFZ8DtatwQ9JlLJCJwn6UCNqVomJx2yjpk6i9I-xdlID8Xw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":16460,"name":"Statistical Physics","url":"https://www.academia.edu/Documents/in/Statistical_Physics"},{"id":149462,"name":"Statistical","url":"https://www.academia.edu/Documents/in/Statistical"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"}],"urls":[]}, dispatcherData: dispatcherData }); 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Precise control of drug loading and release is critical so as to maximize the therapeutic index of the NPs. Here, we propose a simple method of synthesizing NPs with tunable drug release while maintaining their loading ability, by varying the polymer matrix density of amine-or carboxylfunctionalized hydrogel NPs. We find that the NPs with a loose matrix released more cisplatin, with up to a 33 times faster rate. Also, carboxyl-functionalized NPs loaded more cisplatin and released it at a faster rate than aminefunctionalized NPs. We performed detailed Monte Carlo computer simulations that elucidate the relation between the matrix density and drug release kinetics. We found good agreement between the simulation model and the experimental results for drug release as a function of time. Also, we compared the cellular uptake between amine-functionalized NPs and carboxyl-functionalized NPs, as a higher cellular uptake of NPs leads to improved cisplatin delivery. The amine-functionalized NPs can deliver 3.5 times more cisplatin into cells than the carboxyl-functionalized NPs. The cytotoxic efficacy of both the amine-functionalized NPs and the carboxyl-functionalized NPs showed a strong correlation with the cisplatin release profile, and the latter showed a strong correlation with the NP matrix density.","publication_name":"ACS Omega","grobid_abstract_attachment_id":81275773},"translated_abstract":null,"internal_url":"https://www.academia.edu/72289353/Matrix_Density_Engineering_of_Hydrogel_Nanoparticles_with_Simulation_Guided_Synthesis_for_Tuning_Drug_Release_and_Cellular_Uptake","translated_internal_url":"","created_at":"2022-02-22T23:10:10.458-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":36744155,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":81275773,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/81275773/thumbnails/1.jpg","file_name":"acsomega.pdf","download_url":"https://www.academia.edu/attachments/81275773/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Matrix_Density_Engineering_of_Hydrogel_N.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/81275773/acsomega-libre.pdf?1645600567=\u0026response-content-disposition=attachment%3B+filename%3DMatrix_Density_Engineering_of_Hydrogel_N.pdf\u0026Expires=1732455013\u0026Signature=N0PwHojBn2t-pmgjYeFDgZp6xdCSwDDwFYpH~TPJQpCQJd-FCCNVl1syQ5t55hxWUyZgutQ3Rk4OZzE4t9Me9VaKdI0hKCBJlgT0~ro8FARUfYVY1UqiCyZbZ0y94TWVPfQk2CiL4IHcKd925RfXrwUb4pjpcpxKfVu35Vyeu~2zKZHnISx4z9Vbi7oxwV1SuAlKqTKBi-oW3W6ItinUvIeNmymIQi5R3BUhm6rrwOw3B5G6H5prItJ7WCqbgA-dboZgWIMsBSle9EcNY0~NYK6pScMtJVmjRbABl9tuKtNjmhc1day0WMIfQD-E2~7L1o8U95rh-6Zr1YtNYRespg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Matrix_Density_Engineering_of_Hydrogel_Nanoparticles_with_Simulation_Guided_Synthesis_for_Tuning_Drug_Release_and_Cellular_Uptake","translated_slug":"","page_count":10,"language":"en","content_type":"Work","owner":{"id":36744155,"first_name":"Panos","middle_initials":null,"last_name":"Argyrakis","page_name":"PanosArgyrakis","domain_name":"independent","created_at":"2015-10-22T05:10:46.773-07:00","display_name":"Panos Argyrakis","url":"https://independent.academia.edu/PanosArgyrakis"},"attachments":[{"id":81275773,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/81275773/thumbnails/1.jpg","file_name":"acsomega.pdf","download_url":"https://www.academia.edu/attachments/81275773/download_file?st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Matrix_Density_Engineering_of_Hydrogel_N.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/81275773/acsomega-libre.pdf?1645600567=\u0026response-content-disposition=attachment%3B+filename%3DMatrix_Density_Engineering_of_Hydrogel_N.pdf\u0026Expires=1732455013\u0026Signature=N0PwHojBn2t-pmgjYeFDgZp6xdCSwDDwFYpH~TPJQpCQJd-FCCNVl1syQ5t55hxWUyZgutQ3Rk4OZzE4t9Me9VaKdI0hKCBJlgT0~ro8FARUfYVY1UqiCyZbZ0y94TWVPfQk2CiL4IHcKd925RfXrwUb4pjpcpxKfVu35Vyeu~2zKZHnISx4z9Vbi7oxwV1SuAlKqTKBi-oW3W6ItinUvIeNmymIQi5R3BUhm6rrwOw3B5G6H5prItJ7WCqbgA-dboZgWIMsBSle9EcNY0~NYK6pScMtJVmjRbABl9tuKtNjmhc1day0WMIfQD-E2~7L1o8U95rh-6Zr1YtNYRespg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":26327,"name":"Medicine","url":"https://www.academia.edu/Documents/in/Medicine"}],"urls":[{"id":17967088,"url":"http://pubs.acs.org/doi/pdf/10.1021/acsomega.7b00590"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="72289352"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/72289352/Anomalous_growth_of_the_depletion_zone_in_the_photohleaching_trapping_reaction"><img alt="Research paper thumbnail of Anomalous growth of the depletion zone in the photohleaching trapping reaction" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/72289352/Anomalous_growth_of_the_depletion_zone_in_the_photohleaching_trapping_reaction">Anomalous growth of the depletion zone in the photohleaching trapping reaction</a></div><div class="wp-workCard_item"><span>Physical Review E Statistical Nonlinear and Soft Matter Physics</span><span>, 2003</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="72289352"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="72289352"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 72289352; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="70456008"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/70456008/Thermal_stability_and_spontaneous_breakdown_of_free_standing_metal_nanowires"><img alt="Research paper thumbnail of Thermal stability and spontaneous breakdown of free-standing metal nanowires" class="work-thumbnail" src="https://attachments.academia-assets.com/80202130/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/70456008/Thermal_stability_and_spontaneous_breakdown_of_free_standing_metal_nanowires">Thermal stability and spontaneous breakdown of free-standing metal nanowires</a></div><div class="wp-workCard_item"><span>Journal of Crystal Growth</span><span>, 2016</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e36a34bcc2126f1c43d49ed0eae39db6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:80202130,&quot;asset_id&quot;:70456008,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/80202130/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="70456008"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="70456008"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 70456008; 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The model suggests a new twostep vacancy-mediated mechanism for nanowire rupture compared to the more complex three-step hole-mediated mechanism driving the disintegration of nanowire on crystalline surface. It also demonstrates that a free-standing nanowire breaks down much more rapidly than a nanowire on a substrate, because it cannot experience the stabilizing effect of the nanowire/substrate interactions. The rupture mechanism includes single atomic vacancy generation, preceded by appearance of weakly bonded active atoms. The analysis of the simulation data indicates that the active atoms act as a precursor of vacancy formation. These two successive events in the temporal evolution of the nanowire morphology bring the free-standing nanowire into irreversible unstable state, leading to its total disintegration. The present study also manifests an unexpected substantial increase of the nanowire lifetime with diminishing the strength of the atomic interactions between the nanowire atoms. The simulation data reveal three energy regions where a large oscillatory variation of nanowire lifetime is realized. The first region of strong atomic interactions is characterized by tight nanowire rigidity and short lifetime. The next, second region in the consecutive step-down of the attractive interatomic force is characterized by generation of wave-shaped morphology of the atomic chain, enhanced flexibility and dramatic increase of nanowire lifetime. In the last, third region, further weakening of the interactions returns the nanowire again to unstable, short-lifetime state. The observed phenomenon is considered as a \"stick-like\" to \"polymer-like\" transition in the nanowire atomic structure as a result of interaction energy variation. The enhanced flexibility reduces the nanowire free energy since it favors and facilitates the rate of entropy propagation in the atomic chain structure. The observed phenomenon opens a way for a new type atomic scale control on the thermal stability of both free-standing nanowire and nanowire on crystalline substrate. 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We construct the first equations in a moment hierarchy whose first two members are the global density of A particles and the pair correlation function. We terminate the hierarchy by relating the three-particle correlation function to two-particle correlation functions and thereby obtain a set of coupled equations that turns out to be linear and hence analytically tractable.This approach leads naturally to the proportionality of the rate of the reaction to the pair correlation function evaluated at r=a, where a is the diameter of the reacting particles. 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It also confirms the relation between anomalous kinetics and the deviation of the pair correlation function from that associated with a random distribution of particles.Numerical simulations in one and two dimensions that support our theory are presented in a companion paper in this session.","publisher":"Cambridge University Press (CUP)","publication_date":{"day":null,"month":null,"year":1994,"errors":{}},"publication_name":"MRS Proceedings"},"translated_abstract":"ABSTRACTWe formulate an approach to the A + A → products reaction based on a reaction-diffusion model. We construct the first equations in a moment hierarchy whose first two members are the global density of A particles and the pair correlation function. 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It also confirms the relation between anomalous kinetics and the deviation of the pair correlation function from that associated with a random distribution of particles.Numerical simulations in one and two dimensions that support our theory are presented in a companion paper in this session.","internal_url":"https://www.academia.edu/80690201/Reaction_Diffusion_Model_for_the_A_A_O_Reaction","translated_internal_url":"","created_at":"2022-06-04T10:20:07.540-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":36744155,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":86989326,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/86989326/thumbnails/1.jpg","file_name":"proc-366-37720220604-1-t5ltjb.pdf","download_url":"https://www.academia.edu/attachments/86989326/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Reaction_Diffusion_Model_for_the_A_A_O_R.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/86989326/proc-366-37720220604-1-t5ltjb-libre.pdf?1654364410=\u0026response-content-disposition=attachment%3B+filename%3DReaction_Diffusion_Model_for_the_A_A_O_R.pdf\u0026Expires=1732455013\u0026Signature=erhkB6nzP7LzLqYtlnt22MR003K2DCbRrQuTln344a3tgUaPscqhmhw1pNT-OR5c7BkcJdGzjP-1csSmIuMebXyPneUmX0xFA~lW5hFBI1bk0BzR6mnvNVcpwR1pFWL1iOp3VXDCfhFzZdAxq7AwOLMfkgZMAkUa9pcooytL9xTeVBhXqarR2famYa0dw2WpCZ5nn3I8HP50DNy7P8ZreDuVJQZ-Y3fPtixwAxcjP8dtonYy4adYcmO-h3wirO9pfBZl8X4ZjMN3TXZOzQbwNQnzISZzIbnSBt-MGyuhdfuEVHYqwX4-R99uAnFAZd2fUv0HbPOww19QAY3xX5k5xQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Reaction_Diffusion_Model_for_the_A_A_O_Reaction","translated_slug":"","page_count":12,"language":"en","content_type":"Work","owner":{"id":36744155,"first_name":"Panos","middle_initials":null,"last_name":"Argyrakis","page_name":"PanosArgyrakis","domain_name":"independent","created_at":"2015-10-22T05:10:46.773-07:00","display_name":"Panos Argyrakis","url":"https://independent.academia.edu/PanosArgyrakis"},"attachments":[{"id":86989326,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/86989326/thumbnails/1.jpg","file_name":"proc-366-37720220604-1-t5ltjb.pdf","download_url":"https://www.academia.edu/attachments/86989326/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Reaction_Diffusion_Model_for_the_A_A_O_R.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/86989326/proc-366-37720220604-1-t5ltjb-libre.pdf?1654364410=\u0026response-content-disposition=attachment%3B+filename%3DReaction_Diffusion_Model_for_the_A_A_O_R.pdf\u0026Expires=1732455013\u0026Signature=erhkB6nzP7LzLqYtlnt22MR003K2DCbRrQuTln344a3tgUaPscqhmhw1pNT-OR5c7BkcJdGzjP-1csSmIuMebXyPneUmX0xFA~lW5hFBI1bk0BzR6mnvNVcpwR1pFWL1iOp3VXDCfhFzZdAxq7AwOLMfkgZMAkUa9pcooytL9xTeVBhXqarR2famYa0dw2WpCZ5nn3I8HP50DNy7P8ZreDuVJQZ-Y3fPtixwAxcjP8dtonYy4adYcmO-h3wirO9pfBZl8X4ZjMN3TXZOzQbwNQnzISZzIbnSBt-MGyuhdfuEVHYqwX4-R99uAnFAZd2fUv0HbPOww19QAY3xX5k5xQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="80690200"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/80690200/The_diffusion_limited_reaction_A_B_0_on_a_fractal_substrate"><img alt="Research paper thumbnail of The diffusion-limited reaction A+ B→ 0 on a fractal substrate" class="work-thumbnail" src="https://attachments.academia-assets.com/86989317/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/80690200/The_diffusion_limited_reaction_A_B_0_on_a_fractal_substrate">The diffusion-limited reaction A+ B→ 0 on a fractal substrate</a></div><div class="wp-workCard_item"><span>Journal of Statistical …</span><span>, 1991</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We show in this paper how the segregation of reactants in the diffusion-limited reaction A + B ~ ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We show in this paper how the segregation of reactants in the diffusion-limited reaction A + B ~ 0 on a fractal substrate arises. For spectral dimensions d, ~&amp;lt; 2 we obtain segregation controlled by the source and/or the intrinsic lifetime of the particles. ... KEY WORDS: Diffusion; ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5959cfbd17ea6b0d5e3ab77c095431d8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:86989317,&quot;asset_id&quot;:80690200,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/86989317/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&st=MTczMjQ1MTQxMyw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="80690200"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="80690200"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 80690200; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=80690200]").text(description); $(".js-view-count[data-work-id=80690200]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 80690200; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='80690200']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 80690200, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5959cfbd17ea6b0d5e3ab77c095431d8" } } $('.js-work-strip[data-work-id=80690200]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":80690200,"title":"The diffusion-limited reaction A+ B→ 0 on a fractal substrate","translated_title":"","metadata":{"abstract":"We show in this paper how the segregation of reactants in the diffusion-limited reaction A + B ~ 0 on a fractal substrate arises. For spectral dimensions d, ~\u0026lt; 2 we obtain segregation controlled by the source and/or the intrinsic lifetime of the particles. ... KEY WORDS: Diffusion; ...","publisher":"deepblue.lib.umich.edu","publication_date":{"day":null,"month":null,"year":1991,"errors":{}},"publication_name":"Journal of Statistical …"},"translated_abstract":"We show in this paper how the segregation of reactants in the diffusion-limited reaction A + B ~ 0 on a fractal substrate arises. For spectral dimensions d, ~\u0026lt; 2 we obtain segregation controlled by the source and/or the intrinsic lifetime of the particles. ... 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Precise control of drug loading and release is critical so as to maximize the therapeutic index of the NPs. Here, we propose a simple method of synthesizing NPs with tunable drug release while maintaining their loading ability, by varying the polymer matrix density of amine-or carboxylfunctionalized hydrogel NPs. We find that the NPs with a loose matrix released more cisplatin, with up to a 33 times faster rate. Also, carboxyl-functionalized NPs loaded more cisplatin and released it at a faster rate than aminefunctionalized NPs. We performed detailed Monte Carlo computer simulations that elucidate the relation between the matrix density and drug release kinetics. We found good agreement between the simulation model and the experimental results for drug release as a function of time. Also, we compared the cellular uptake between amine-functionalized NPs and carboxyl-functionalized NPs, as a higher cellular uptake of NPs leads to improved cisplatin delivery. The amine-functionalized NPs can deliver 3.5 times more cisplatin into cells than the carboxyl-functionalized NPs. 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The model suggests a new twostep vacancy-mediated mechanism for nanowire rupture compared to the more complex three-step hole-mediated mechanism driving the disintegration of nanowire on crystalline surface. It also demonstrates that a free-standing nanowire breaks down much more rapidly than a nanowire on a substrate, because it cannot experience the stabilizing effect of the nanowire/substrate interactions. The rupture mechanism includes single atomic vacancy generation, preceded by appearance of weakly bonded active atoms. The analysis of the simulation data indicates that the active atoms act as a precursor of vacancy formation. These two successive events in the temporal evolution of the nanowire morphology bring the free-standing nanowire into irreversible unstable state, leading to its total disintegration. The present study also manifests an unexpected substantial increase of the nanowire lifetime with diminishing the strength of the atomic interactions between the nanowire atoms. The simulation data reveal three energy regions where a large oscillatory variation of nanowire lifetime is realized. The first region of strong atomic interactions is characterized by tight nanowire rigidity and short lifetime. The next, second region in the consecutive step-down of the attractive interatomic force is characterized by generation of wave-shaped morphology of the atomic chain, enhanced flexibility and dramatic increase of nanowire lifetime. In the last, third region, further weakening of the interactions returns the nanowire again to unstable, short-lifetime state. The observed phenomenon is considered as a \"stick-like\" to \"polymer-like\" transition in the nanowire atomic structure as a result of interaction energy variation. The enhanced flexibility reduces the nanowire free energy since it favors and facilitates the rate of entropy propagation in the atomic chain structure. The observed phenomenon opens a way for a new type atomic scale control on the thermal stability of both free-standing nanowire and nanowire on crystalline substrate. The present study also extends the validity of the three-step breakdown mechanism of nanowire on crystalline substrate to the specific case of thermally activated free-standing nanowire rupture not affected by any external forces.","publication_date":{"day":null,"month":null,"year":2016,"errors":{}},"publication_name":"Journal of Crystal Growth","grobid_abstract_attachment_id":80202130},"translated_abstract":null,"internal_url":"https://www.academia.edu/70456008/Thermal_stability_and_spontaneous_breakdown_of_free_standing_metal_nanowires","translated_internal_url":"","created_at":"2022-02-04T13:34:06.679-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":36744155,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":80202130,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/80202130/thumbnails/1.jpg","file_name":"p172.pdf","download_url":"https://www.academia.edu/attachments/80202130/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Thermal_stability_and_spontaneous_breakd.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/80202130/p172-libre.pdf?1644010623=\u0026response-content-disposition=attachment%3B+filename%3DThermal_stability_and_spontaneous_breakd.pdf\u0026Expires=1732455013\u0026Signature=Lnx~BabzRYnmpylXNDxzhf9vl-8LBkBDikOUgPC0WLTcSfK50HHrVISRUytrH6VOYkIHQaHMteS3xZ1IIFL51ZwKZTExU4cFSQNNDbk8nk4pUrN3I3V6d5CKil~c3c6VaAFJFsTmz9BUpDwMPeBKaPF2Hr-3rDT4JYp4cK~-JsPWB13uLyW0itp2LkLKIU56wb74iUSnBmJyFpMdau-BLQRTcSQ72Qm7xDeLp9Al6m0J6WN2jRNPocgh0R2GwTQa7JACFjH7tlhqMejOONMbSFh42QKAYPxWdhMCuWIAS3ldbna0mIxGVzZ7E8ommAkV8yJmJ1lMcDvbXEADOGlqcg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Thermal_stability_and_spontaneous_breakdown_of_free_standing_metal_nanowires","translated_slug":"","page_count":6,"language":"en","content_type":"Work","owner":{"id":36744155,"first_name":"Panos","middle_initials":null,"last_name":"Argyrakis","page_name":"PanosArgyrakis","domain_name":"independent","created_at":"2015-10-22T05:10:46.773-07:00","display_name":"Panos Argyrakis","url":"https://independent.academia.edu/PanosArgyrakis"},"attachments":[{"id":80202130,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/80202130/thumbnails/1.jpg","file_name":"p172.pdf","download_url":"https://www.academia.edu/attachments/80202130/download_file?st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&st=MTczMjQ1MTQxNCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Thermal_stability_and_spontaneous_breakd.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/80202130/p172-libre.pdf?1644010623=\u0026response-content-disposition=attachment%3B+filename%3DThermal_stability_and_spontaneous_breakd.pdf\u0026Expires=1732455014\u0026Signature=JR0371C~CROzI82PHslBovBiKyu8rJFJLmG0rDR4kNVRKChC2s6eYvMlMktUp1Un2rqUdi9JrS6foIudvWrlrN0Ou54hzo0qqo~c84q9K9z-7ts0OHKJAsxTyJC76g8lssSgCMdXNFyUsMyMQFKNFTJiTU3J1r8h~GRpQd7eeUwlHGU4o3iGJF-B3KRV3mBGdcb4CcBDQ~2rTyrzAvfukZjcqrVqv9t9a~s2dpKdZBybTob21T6AAkycoCL3SM7j9oB67Y4qxjwBKEpKf60esxdX6m~Bsz4UkESLr4f6Cy1mC3RCZOP4wxgIbMkTnVfL~r4-9Tz6etSUbRLoNd9JJQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":4120,"name":"Crystal Growth","url":"https://www.academia.edu/Documents/in/Crystal_Growth"}],"urls":[]}, dispatcherData: dispatcherData }); 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Firstly, a detailed model based on the kinetic differential equations is proposed to study the enzymatic reaction under spatial constraints and in vivo conditions. Secondly, Monte Carlo simulations of the enzyme reaction in a two-dimensional square lattice, placing special emphasis on the input and output of the substrate were applied to mimic in vivo conditions. Both the mathematical model and the Monte Carlo simulations for the enzymatic reaction reproduced the classical Michaelis-Menten (MM) kinetics in homogeneous media and unusual kinetics in fractal media. Based on these findings, a time-dependent version of the classic MM equation was developed for the rate of change of the substrate concentration in disordered media and was successfully used to describe the experimental plasma concentration-time data of mibefradil and derive estimates for the model parameters. The unusual nonlinear pharmacokinetics of mibefradil originates from the heterogeneous conditions in the reaction space of the enzymatic reaction. 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