Mathematical model of immune response to hepatitis B

F Fatehi Chenar; Y N Kyrychko; K B Blyuss

doi:10.1016/j.jtbi.2018.03.025

Mathematical model of immune response to hepatitis B

J Theor Biol. 2018 Jun 14:447:98-110. doi: 10.1016/j.jtbi.2018.03.025. Epub 2018 Mar 21.

Authors

F Fatehi Chenar¹, Y N Kyrychko¹, K B Blyuss²

Affiliations

¹ Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK.
² Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK. Electronic address: k.blyuss@sussex.ac.uk.

PMID: 29574141
DOI: 10.1016/j.jtbi.2018.03.025

Abstract

A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady states is performed to identify parameter regions where the model exhibits clearance of infection, maintenance of a chronic infection, or periodic oscillations. Effects of nucleoside analogues and interferon treatments are analysed, and the critical drug efficiency is determined.

Keywords: Hepatitis B; Immune response; Mathematical model.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Adaptive Immunity
Antiviral Agents / therapeutic use*
Cytokines / immunology
Hepatitis B / drug therapy
Hepatitis B / immunology*
Humans
Immunity*
Immunity, Innate
Interferons / therapeutic use
Models, Theoretical*
Nucleosides / therapeutic use

Substances

Antiviral Agents
Cytokines
Nucleosides
Interferons