Mathematical model of immune response to hepatitis B

TL;DR

This paper introduces a comprehensive mathematical model of hepatitis B immune response, analyzing stability, treatment effects, and conditions for infection clearance or chronicity.

Contribution

It presents a novel detailed model incorporating innate and adaptive immunity, cytokines, and treatment effects, with stability analysis for different infection outcomes.

Findings

Identifies parameter regions for infection clearance and chronicity.

Analyzes effects of antiviral treatments and determines critical drug efficacy.

Performs stability analysis of immune response dynamics.

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.