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Viral Kinetic Modeling of Chronic Hepatitis C and B Infection

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Nonautonomous Dynamical Systems in the Life Sciences

Part of the book series: Lecture Notes in Mathematics ((LNMBIOS,volume 2102))

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Abstract

Chronic infection with hepatitis C or hepatitis B virus are important world-wide health problems leading to long-term damage of the liver. There are, however, treatment options which can lead to viral eradication in hepatitis C or long-term viral suppression in hepatitis B in some patients. Nevertheless, there is still room for improvement. Mathematical compartment models based on ordinary differential equation systems have successfully been applied to improve antiviral treatment. Here, we illustrate how mathematical and statistical analysis of such models influenced clinical research and give an overview on the most important models for hepatitis C and hepatitis B viral kinetics.

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Authors and Affiliations

  1. Department of Medicine, Institute of Biostatistics and Mathematical Modeling, Goethe University Frankfurt, Frankfurt, Deutschland

    Eva Herrmann & Yusuke Asai

Authors
  1. Eva Herrmann
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  2. Yusuke Asai
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Correspondence to Eva Herrmann .

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Editors and Affiliations

  1. Institut für Mathematik, Goethe-Universität Frankfurt, Frankfurt am Main, Germany

    Peter E. Kloeden

  2. Institut für Mathematik, Alpen-Adria Universität Klagenfurt, Klagenfurt am Wörthersee, Austria

    Christian Pötzsche

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Herrmann, E., Asai, Y. (2013). Viral Kinetic Modeling of Chronic Hepatitis C and B Infection. In: Kloeden, P., Pötzsche, C. (eds) Nonautonomous Dynamical Systems in the Life Sciences. Lecture Notes in Mathematics(), vol 2102. Springer, Cham. https://doi.org/10.1007/978-3-319-03080-7_8

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