The Mathematical Models For Virus And Immunity In HCV And Its Kinetics

Hepatitis C virus(HCV) has serious infection and little has been known about the mechanism of its immunity and chronicity. Basing on the relative knowledge of its pathology, this thesis systematically examines the relationship among the HCV, the host cells, and the immune response , and establishes three mathematic models to value their dynamics. By employing the Routh-Hurwitz Theorem, the symbolic calculation software, Maple, and the numerical simulation to the complex dynamical model, this study comes to conclude that:1,With reference to the basic model which merely considers virus and host cells, the system converge to a steady states in definite time after the body is infected.2,When the effect of the antibody response is added to the basic model, found that the local stability of system has no change.3,Finally, taking the effect of both the CTL(cytotoxic T lymphocytes) response and the antibody response into consideration, mathematic model suggests that the CTL response has a critical effect to the development of disease. A strong CTL response is required for the resolution of HCV infection in a short time. And establishment of persistent infection is accompanied mainly with an ongoing antibody response and low level CTL maintenance, because they cannot eliminate virus effectively from body.The result has achieved will be theoretical significant to the recognition of the pathologic process of HCV infection, and provides the guideline for preventing and curing the disease on a scientific aspect.