Cornerstone: A Collection of Scholarly and Creative Works for Minnesota State University, Mankato
Abstract
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
