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

• Main Author: Durfee, Lucille J
• Format: Others
• Published: CSUSB ScholarWorks 2016
• Subjects: Bio-Mathematics; Mathematical Model; Hepatitis C; Schematic Diagram; Kinetic Scheme; Steady-State; Other Mathematics
• Online Access: https://scholarworks.lib.csusb.edu/etd/428; https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1478&context=etd

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.