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In this talk, we will give an overview on new approaches for viral kinetic modeling in chronic hepatitis. There exist some well known approaches for modeling the decline of viremia in patients treated with appropriate antiviral drug regimes. Mathematical modeling approaches can help to reveal treatment mechanismen, quantify treatment efficacy and assess potential synergies or antagonism between different drugs. Typically, such models base on nonlinear and non-autonomous ordinary differential equation systems.
New multistage models have been proposed to analyse new direct acting antiviral drugs in hepatitis C. Nevertheless, in such models it is more difficult to assess theoretical and practical identifiability. We will show some model examples and data analyses applied to data from recent clinical trials. Furthermore, we will compare results from such ordinary differential equation systems with random ordinary differential equation systems allowing random pertubationsof the model parameters. |
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