{"id":6067,"date":"2024-06-07T10:06:18","date_gmt":"2024-06-07T14:06:18","guid":{"rendered":"https:\/\/www.med.unc.edu\/bloodresearchcenter\/?p=6067"},"modified":"2024-06-07T10:06:18","modified_gmt":"2024-06-07T14:06:18","slug":"karin-leiderman-phd-gets-paper-published-in-the-journal-of-mathematical-biosciences","status":"publish","type":"post","link":"https:\/\/www.med.unc.edu\/bloodresearchcenter\/2024\/06\/karin-leiderman-phd-gets-paper-published-in-the-journal-of-mathematical-biosciences\/","title":{"rendered":"Karin Leiderman, PhD gets paper published in The Journal of Mathematical Biosciences"},"content":{"rendered":"<p>Jamie Madrigal, Mac Monroe, Suzanne Sindi, Karin Leiderman, from The University of North Carolina at Chapel Hill School of Medicine, had a new paper published in Mathematical Biosciences.<\/p>\n<p><strong> \u201cModeling the Distribution of Enzymes on Lipid Vesicles: A Novel Framework for Surface-Mediated Reactions in Coagulation\u201d.<\/strong><\/p>\n<div id=\"preview-section-abstract\">\n<div id=\"abstracts\" class=\"Abstracts u-font-serif text-s\">\n<div id=\"d1e4126\" class=\"abstract author\">\n<h3 class=\"section-title u-h4 u-margin-l-top u-margin-xs-bottom\">Abstract<\/h3>\n<div id=\"d1e4129\">\n<p id=\"d1e4130\">Blood coagulation is a network of biochemical reactions wherein dozens of proteins act collectively to initiate a rapid clotting response. Coagulation reactions are lipid-surface dependent, and this dependence is thought to help localize coagulation to the site of injury and enhance the association between reactants. Current mathematical models of coagulation either do not consider lipid as a variable or do not agree with experiments where lipid concentrations were varied. Since there is no analytic rate law that depends on lipid, only apparent rate constants can be derived from enzyme kinetic experiments. We developed a new mathematical framework for modeling enzymes reactions in the presence of lipid vesicles. Here the concentrations are such that only a fraction of the vesicles harbor bound enzymes and the rest remain empty. We call the lipid vesicles with and without enzyme TF:VIIa<span class=\"math\"><span id=\"MathJax-Element-1-Frame\" class=\"MathJax_SVG\" style=\"margin: 0px;padding: 0px;font-style: normal;font-weight: normal;line-height: normal;font-size: 14.4px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;position: relative\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup is=&quot;true&quot;&gt;&lt;mrow is=&quot;true&quot; \/&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mo is=&quot;true&quot;&gt;+&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">+<\/span><\/span><\/span>\u00a0and TF:VIIa<span class=\"math\"><span id=\"MathJax-Element-2-Frame\" class=\"MathJax_SVG\" style=\"margin: 0px;padding: 0px;font-style: normal;font-weight: normal;line-height: normal;font-size: 14.4px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;position: relative\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup is=&quot;true&quot;&gt;&lt;mrow is=&quot;true&quot; \/&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mo is=&quot;true&quot;&gt;&#x2212;&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">\u2212<\/span><\/span><\/span>\u00a0lipid, respectively. Since substrate binds to both TF:VIIa<span class=\"math\"><span id=\"MathJax-Element-3-Frame\" class=\"MathJax_SVG\" style=\"margin: 0px;padding: 0px;font-style: normal;font-weight: normal;line-height: normal;font-size: 14.4px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;position: relative\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup is=&quot;true&quot;&gt;&lt;mrow is=&quot;true&quot; \/&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mo is=&quot;true&quot;&gt;+&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">+<\/span><\/span><\/span>\u00a0and TF:VIIa<span class=\"math\"><span id=\"MathJax-Element-4-Frame\" class=\"MathJax_SVG\" style=\"margin: 0px;padding: 0px;font-style: normal;font-weight: normal;line-height: normal;font-size: 14.4px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;position: relative\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup is=&quot;true&quot;&gt;&lt;mrow is=&quot;true&quot; \/&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mo is=&quot;true&quot;&gt;&#x2212;&lt;\/mo&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">\u2212<\/span><\/span><\/span>\u00a0lipid, our model shows that excess empty lipid acts as a strong sink for substrate. We used our framework to derive an analytic rate equation and performed constrained optimization to estimate a single, global set of intrinsic rates for the enzyme\u2013substrate pair. Results agree with experiments and reveal a critical lipid concentration where the conversion rate of the substrate is maximized, a phenomenon known as the template effect. Next, we included product inhibition of the enzyme and derived the corresponding rate equations, which enables kinetic studies of more complex reactions. Our combined experimental and mathematical study provides a general framework for uncovering the mechanisms by which lipid mediated reactions impact coagulation processes.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"preview-section-introduction\">\n<div class=\"Introduction u-font-serif text-s u-margin-l-ver\">\n<h2 class=\"u-h4 u-margin-s-bottom\"><span style=\"font-size: 14px\">read more here: <\/span><a style=\"background-color: #ffffff;font-size: 14px\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0025556424000890\">Modeling the distribution of enzymes on lipid vesicles: A novel framework for surface-mediated reactions in coagulation &#8211; ScienceDirect<\/a><\/h2>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Jamie Madrigal, Mac Monroe, Suzanne Sindi, Karin Leiderman, from The University of North Carolina at Chapel Hill School of Medicine, had a new paper published in Mathematical Biosciences. \u201cModeling the Distribution of Enzymes on Lipid Vesicles: A Novel Framework for Surface-Mediated Reactions in Coagulation\u201d. Abstract Blood coagulation is a network of biochemical reactions wherein dozens &hellip; <a href=\"https:\/\/www.med.unc.edu\/bloodresearchcenter\/2024\/06\/karin-leiderman-phd-gets-paper-published-in-the-journal-of-mathematical-biosciences\/\" aria-label=\"Read more about Karin Leiderman, PhD gets paper published in The Journal of Mathematical Biosciences\">Read more<\/a><\/p>\n","protected":false},"author":117184,"featured_media":4649,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"layout":"","cellInformation":"","apiCallInformation":"","footnotes":"","_links_to":"","_links_to_target":""},"categories":[2],"tags":[],"class_list":["post-6067","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","odd"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Karin Leiderman, PhD gets paper published in The Journal of Mathematical Biosciences | UNC Blood Research Center<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.med.unc.edu\/bloodresearchcenter\/2024\/06\/karin-leiderman-phd-gets-paper-published-in-the-journal-of-mathematical-biosciences\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Karin Leiderman, PhD gets paper published in The Journal of Mathematical Biosciences | UNC Blood Research Center\" \/>\n<meta property=\"og:description\" content=\"Jamie Madrigal, Mac Monroe, Suzanne Sindi, Karin Leiderman, from The University of North Carolina at Chapel Hill School of Medicine, had a new paper published in Mathematical Biosciences. \u201cModeling the Distribution of Enzymes on Lipid Vesicles: A Novel Framework for Surface-Mediated Reactions in Coagulation\u201d. 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