Mathematical Modeling and Analysis of Chemotherapy Strategy in the Treatment of HIV

Presenter Information

Yu-Jeong Kim, Minnesota State University, Mankato
Jaehwan Byun, Minnesota State University, Mankato
Hyuck Jin Lee, Minnesota State University, Mankato

Location

CSU 284A

Start Date

6-4-2010 10:00 AM

End Date

6-4-2010 12:00 PM

Student's Major

Mathematics and Statistics, Biological Sciences

Student's College

Science, Engineering and Technology

Mentor's Name

Namyong Lee

Mentor's Department

Mathematics and Statistics

Mentor's College

Science, Engineering and Technology

Second Mentor's Name

Anne-Marie Hoskinson

Second Mentor's Department

Biological Sciences

Second Mentor's College

Science, Engineering and Technology

Description

The World Health Organization has reported that Acquired Immune Deficiency Syndrome (AIDS) has been found to be the second leading cause of death by diseases. Therefore, the importance of treating the disease has been greatly emphasized. These days, scientists have suggested that chemotherapy could be the most effective way of treating AIDS. We built a mathematical model of dynamics of the Human Immunodeficiency Virus (HIV) through a system of differential equations, which describes the interactions between the HIV and T-cells that are immune cells attacked by the HIV. The model produced the concentration rate of infected and uninfected T-cells over time when there is a medical intervention, called chemotherapy. We mathematically analyzed the dynamics of the immune system and the HIV and performed the computer simulations for various chemotherapy strategies.