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Chronic hepatitis B virus and liver fibrosis: A mathematical model

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  • Avner Friedman
  • Nourridine Siewe

Abstract

Hepatitis B virus (HBV) infection is a liver disorder that can result in cirrhosis, liver failure and hepatocellular carcinoma. HBV infection remains a major global health problem, as it affects more 350 million people chronically and kills roughly 600,000 people annually. Drugs currently used against HBV include IFN-α that decreases viremia, inflammation and the growth of liver fibrosis, and adefovir that decreases the viral load. Each of these drugs can have severe side-effects. In the present paper, we consider the treatment of chronic HBV by a combination of IFN-α and adefovir, and raise the following question: What should be the optimal ratio between IFN-α and adefovir in order to achieve the best ‘efficacy’ under constraints on the total amount of the drugs; here the efficacy is measured by the reduction of the levels of inflammation and of fibrosis? We develop a mathematical model of HBV pathogenesis by a system of partial differential equations (PDEs) and use the model to simulate a ‘synergy map’ which addresses the above question.

Suggested Citation

  • Avner Friedman & Nourridine Siewe, 2018. "Chronic hepatitis B virus and liver fibrosis: A mathematical model," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-23, April.
    • Handle: RePEc:plo:pone00:0195037
    DOI: 10.1371/journal.pone.0195037
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    References listed on IDEAS

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    1. Kevin J. Maloy & Fiona Powrie, 2011. "Intestinal homeostasis and its breakdown in inflammatory bowel disease," Nature, Nature, vol. 474(7351), pages 298-306, June.
    2. Stanca Ciupe & Anne Catlla & Jonathan Forde & David Schaeffer, 2011. "Dynamics of Hepatitis B Virus Infection: What Causes Viral Clearance?," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(2), pages 87-105.
    3. Katrin D. Mayer-Barber & Bruno B. Andrade & Sandra D. Oland & Eduardo P. Amaral & Daniel L. Barber & Jacqueline Gonzales & Steven C. Derrick & Ruiru Shi & Nathella Pavan Kumar & Wang Wei & Xing Yuan &, 2014. "Host-directed therapy of tuberculosis based on interleukin-1 and type I interferon crosstalk," Nature, Nature, vol. 511(7507), pages 99-103, July.
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