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BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS

By Lucille J Durfee

Abstract

In this thesis, we will study bio-mathematics. We will introduce differential equations, biological applications, and simulations with emphasis in molecular events. One of the first courses of action is to introduce and construct a mathematical model of our biological element. The biological element of study is the Hepatitis C virus. The idea in creating a mathematical model is to approach the biological element in small steps. We will first introduce a block (schematic) diagram of the element, create differential equations that define the diagram, convert the dimensional equations to non-dimensional equations, reduce the number of parameters, identify the important parameters, and analyze the results. These results will tell us which variables must be adjusted to prevent the Hepatitis C virus from becoming chronic

Topics: Bio-Mathematics, Mathematical Model, Hepatitis C, Schematic Diagram, Kinetic Scheme, Steady-State, Other Mathematics
Publisher: CSUSB ScholarWorks
Year: 2016
OAI identifier: oai:scholarworks.lib.csusb.edu:etd-1478
Provided by: CSUSB ScholarWorks

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