Mathematical model of immune response to hepatitis B.

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.

• Publication year

  2018

• Venue

  Journal of Theoretical Biology

• Publication date

  2018-05-11

• Fields of study

  Biology, Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1016/j.jtbi.2018.03.025arXiv 1805.05322PMID 29574141
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Hepatitis B.

  2016cited by this paper
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  2015cited by this paper
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  2015cited by this paper
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  2015cited by this paper
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  2015cited by this paper
• Antibody Responses during Hepatitis B Viral Infection

  2014cited by this paper
• Mathematical models of the interrelated dynamics of hepatitis D and B.

  2014cited by this paper
• Hepatitis B flares in chronic hepatitis B: pathogenesis, natural course, and management.

  2014cited by this paper
• Innate immune responses in hepatitis B virus (HBV) infection

  2014cited by this paper
• Life cycle and pathogenesis of hepatitis D virus: A review.

  2013cited by this paper
• Does interferon-sparing tenofovir disoproxil fumarate-based therapy have a role in the management of severe acute hepatitis delta superinfection?

  2012cited by this paper
• Analysis of a HBV infection model with ALT

  2012cited by this paper
• Mathematical Modeling of Triphasic Viral Dynamics in Patients with HBeAg-Positive Chronic Hepatitis B Showing Response to 24-Week Clevudine Therapy

  2012cited by this paper
• The role of tunable activation thresholds in the dynamics of autoimmunity.

  2012cited by this paper
• Modeling Within-Host Dynamics of Influenza Virus Infection Including Immune Responses

  2012cited by this paper
• Modeling the adaptive immune response in HBV infection

  2011cited by this paper
• Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth

  2010cited by this paper
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  2010cited by this paper
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  2010cited by this paper
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  2009cited by this paper
• Modeling complex decay profiles of hepatitis B virus during antiviral therapy

  2009cited by this paper
• Mathematical Analysis of a Basic Virus Infection Model With Application to HBV Infection

  2008cited by this paper
• A mathematical model of the dynamics for anti-HBV infection treatment with Peginterferon Alfa-2a

  2008cited by this paper
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  2008cited by this paper
• Dynamics of a delay differential equation model of hepatitis B virus infection

  2008cited by this paper
• Modeling the mechanisms of acute hepatitis B virus infection.

  2007cited by this paper
• The role of cells refractory to productive infection in acute hepatitis B viral dynamics

  2007influential reference
• The immune response during hepatitis B virus infection.

  2006influential reference
• Stealth and Cunning: Hepatitis B and Hepatitis C Viruses

  2005cited by this paper
• A Multiphase Model of the Dynamics of HBV Infection in Hbeag-Negative Patients during Pegylated Interferon-α2A, Lamivudine and Combination Therapy

  2005cited by this paper
• Immunology of hepatitis B virus and hepatitis C virus infection

  2005cited by this paper
• Mechanisms of broad cross-protection provided by influenza virus infection and their application to vaccines.

  2005cited by this paper
• A viral kinetic study using pegylated interferon alfa‐2b and/or lamivudine in patients with chronic hepatitis B/HBeAg negative

  2005cited by this paper
• Control of HIV-1 infection by soluble factors of the immune response

  2004influential reference
• Interferon-gamma: an overview of signals, mechanisms and functions.

  2004cited by this paper
• Interferon- : an overview of signals, mechanisms and functions

  2004cited by this paper
• The role of cytotoxic T cells and cytokines in the control of hepatitis B virus infection.

  2002cited by this paper
• Acute flares in chronic hepatitis B: the natural and unnatural history of an immunologically mediated liver disease.

  2001cited by this paper
• Noncytolytic control of viral infections by the innate and adaptive immune response.

  2001influential reference
• Analysis of hepatitis B viral load decline under potent therapy: Complex decay profiles observed

  2001cited by this paper
• Higher-dimensional separation principle for the analysis of relaxation oscillations in nonlinear systems: application to a model of HIV infection.

  2000cited by this paper
• Hepatitis B Virus Biology

  2000cited by this paper
• Tumor necrosis factor (TNF)-alpha and TNF receptors in viral pathogenesis.

  2000cited by this paper
• A model of HIV-1 pathogenesis that includes an intracellular delay.

  2000cited by this paper
• The Role of Alpha/Beta and Gamma Interferons in Development of Immunity to Influenza A Virus in Mice

  2000cited by this paper
• Cutting edge: Cross-talk between cells of the innate immune system: NKT cells rapidly activate NK cells.

  1999cited by this paper
• Natural killer cells in antiviral defense: function and regulation by innate cytokines.

  1999cited by this paper
• Viral clearance without destruction of infected cells during acute HBV infection.

  1999cited by this paper
• How cells respond to interferons.

  1998cited by this paper
• Cytokines and immunity to viral infections

  1997cited by this paper
• Viral dynamics in hepatitis B virus infection.

  1996cited by this paper
• HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time

  1996cited by this paper
• An overview of the interferon system: signal transduction and mechanisms of action.

  1996cited by this paper
• Interleukin-2 and alpha/beta interferon down-regulate hepatitis B virus gene expression in vivo by tumor necrosis factor-dependent and -independent pathways

  1994cited by this paper
• A case for cytokines as effector molecules in the resolution of virus infection.

  1993cited by this paper
• Cellular and Molecular Immunology

  1991cited by this paper
• A model of the stimulation of B-cells by replicating antigen—II

  1978cited by this paper
• Virus interference. I. The interferon

  1957cited by this paper
• Rich Dynamics of a Hepatitis B Viral Infection Model with Logistic Hepatocyte Growth

  year unknowncited by this paper

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• Hepatitis surface B antigen clearance induced by long-term tenofovir disoproxil fumarate monotherapy in chronic hepatitis B treatment: a meta-analysis and longitudinal modeling analysis

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• Computational systems biology of cellular processes in the human lymph node

  2024cites this paper
• Combination Therapy for Chronic Hepatitis B Using Capsid Recycling Inhibitor

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• Understanding Hepatitis B Virus Infection through Hepatocyte Proliferation and Capsid Recycling

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