
Hayriye Gulbudak
Assistant Professor
University of Louisiana at Lafayette Continue Reading Hayriye Gulbudak
Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics.
Understanding the mechanisms responsible for different clinical outcomes following hepatitis B infection requires a systems investigation of dynamical interactions between the virus and the immune system. To help elucidate mechanisms of protection and those responsible from transition from acute to chronic disease, we developed a deterministic mathematical model of hepatitis B infection that accounts for cytotoxic immune responses resulting in infected cell death, non-cytotoxic immune responses resulting in infected cell cure and protective immunity from reinfection, and cell proliferation. We analyzed the model and presented outcomes based on three important disease markers: the basic reproduction number R0, the infected cells death rate δ (describing the effect of cytotoxic immune responses), and the liver carrying capacity K (describing the liver susceptibility to infection). Using asymptotic and bifurcation analysis techniques, we determined regions where virus is cleared, virus persists, and where clearance-persistence is determined by the size of viral inoculum. These results can guide the development of personalized intervention.
Mathematical biosciences

Assistant Professor
University of Louisiana at Lafayette Continue Reading Hayriye Gulbudak

Professor
Virginia Tech Continue Reading Stanca Mihaela Ciupe