Mathematical Models of the Interrelated Dynamics of Hepatitis D and B

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khosrotash, Masoud | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 46036 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
The hepatitis delta virus (HDV) is a rarest form of viral hepatitis, but has the worst outcomes for patients.It is a subviral satellite dependent on coinfection with hepatitis B (HBV) to replicate within the host liver.To date, there has been little to no modeling effort for HDV. Deriving and analyzing such a mathematicalmodel poses difficulty as it requires the inclusion of (HBV). Here we begin with a well-studied HBV modelfrom the literature and expand it to incorporate HDV. We investigate two models, one with and one withoutinfected hepatocyte replication. Additionally, we consider treatment by the drug lamivudine. Comparison of model simulations with experimental results of lamivudine treatment indicate that infectedcell proliferation may play a significant role in chronic HDV infection. Our results also shed light on severalquestions surrounding HDV and illustrate the need for more data
Keywords:
Mathematical Model ; Global Stability ; Globally Asymptotic Stability ; Stability ; Basic Reproduction Number ; Lyapunov Stability ; Stochastic Differential Equation ; Hepatitis Beta Virus ; Hepatitis Delta Virus

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