Agyingi, Ephraim

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VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2018Jun 1st, 12:00 PM - 12:30 PMA mathematical model of the immune systemresponse to Leishmania parasiteEphraim AgyingiRochester Institute of Technology, eoasma@rit.eduFollow this and additional works at: https://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.https://scholarscompass.vcu.edu/bamm/2018/friday/15A mathematical model of the immune system response to Leishmania parasite E Agyingi1, T Wiandt1, L Buxbaum2, B Thomas1 1 Rochester Institute of Technology, Rochester, NY 14623, USA 2University of Pennsylvania, Philadelphia, PA 19104  Macrophages are an important component of the immune system, activated in response to infection and are drivers of inflammation. However, Leishmania parasites have developed pathways that render macrophages harmless, turning them into shelters from the rest of the immune response. The parasite then grows intracellularly in host macrophages.  We present a basic model of the immune response to infection and use it to study the effect that genes have on disease progression for leishmaniasis. The model is formulated as a system of differential equations. Numerical simulations of the model demonstrating bifurcation for knock-out genes in murine infections are provided. Further analysis of the model is also provided.  

A mathematical model of the immune system response to Leishmania parasite

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1261&context=bamm

A mathematical model of the immune system response to Leishmania parasite

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