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Yasmeen Hussain |
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Mentor: Aaron Fogelson Major: Mathematics Minor: Music Summer 2007 project description: I will work with Aaron Fogelson in the field of mathematical biology. This summer we propose to read papers related to control of the cell-cycle to learn about regulation of the cell cycle, learn how mathematical modeling has been applied to understanding this regulatory system, and gain experience in modeling and relating mathematical tools by reproducing the mathematical work in these papers. Our long-term goal is to develop original mathematical models of some aspects of cell biology and physiology. Summer 2007 report Fall 2007 project description: Following our summer explorations into the properties of prototypical simple regulatory networks and their numerical implementation, especially in Matlab, I will work with Dr. Aaron Fogelson to look into more realistic and complex models of the cell cycle that have appeared in the literature. This will involve learning the relevant biology and more about the mathematics of the types of dynamical systems in these models. In addition, I will be looking more closely into "modeling process," that is, how to translate a written or pictorial description of a biological process into mathematics. The goal of this work is to gain sufficient experience to allow me to begin to think about formulating, manipulating, and studying new models of biochemical reaction networks. Fall 2007 report Spring 2008 project description: Using Beltrami and Jest's paper "The role of membrane patch size and flow in regulating a proteolytic feedback threshold on a membrane: possible application in blood coagulation" as a starting point, I will work with Dr. Aaron Fogelson on learning how to, using MATLAB software, model and simulate spatially distributed biochemical reaction networks. While doing this, I will also learn about the biochemical and transport processes present in blood clotting. This will be accomplished by working through Dr. Fogelson's papers which present detailed models of blood clotting, constructed using both partial and ordinary differential equations. A goal of this work is to be able to extend these models, or simplified versions of these models, to include additional biological processes, including interactions of clotting mechanisms with innate immune response. Spring 2008 final report |
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