ArticleJournal of mathematical biology2011
Modeling the adaptive immune response in HBV infection.
Article in Journal of mathematical biology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed, 116 citations in OpenAlex.
- Investigation of a Two-Patch Within-Host Model of Hepatitis B Viral Infection.Bulletin of mathematical biology · 2025Article
- Dynamical modeling and data analysis of HIV infection with infection-age, CTLs immune response and delayed antibody immune response.Journal of mathematical biology · 2025Article
- Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics.Mathematical biosciences · 2025Article
- Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes.Journal of mathematical biology · 2024Article
- Review
- Understanding the antiviral effects of RNAi-based therapy in HBeAg-positive chronic hepatitis B infection.Scientific reports · 2021Article
- A quantitative systems pharmacology model for acute viral hepatitis B.Computational and structural biotechnology journal · 2021Article
- Approximate solutions for HBV infection with stability analysis using LHAM during antiviral therapy.Boundary value problems · 2020Article
- BATF Interference Blocks Th17 Cell Differentiation and Inflammatory Response in Hepatitis B Virus Transgenic Mice.Digestive diseases and sciences · 2019Article
- Mathematical Analysis and Treatment for a Delayed Hepatitis B Viral Infection Model with the Adaptive Immune Response and DNA-Containing Capsids.High-throughput · 2018Article
- A discrete-time analog for coupled within-host and between-host dynamics in environmentally driven infectious disease.Advances in difference equations · 2018Article
- Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response.Advances in difference equations · 2016Article
- Article
- Antibody responses during hepatitis B viral infection.PLoS computational biology · 2014Article
- Stability Analysis of an Improved HBV Model with CTL Immune Response.International scholarly research notices · 2014Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The aim of this work is to investigate a new mathematical model that describes the interactions between Hepatitis B virus (HBV), liver cells (hepatocytes), and the adaptive immune response. The qualitative analysis of this as cytotoxic T lymphocytes (CTL) cells and the antibodies. These outcomes are (1) a disease free steady state, which its local stability is characterized as usual by R (0) < 1, (2) and the existence of four endemic steady states when R (0) > 1. The local stability of these steady states depends on functions of R (0). Our study shows that although we give conditions of stability of these steady states, not all conditions are feasible. This rules out the local stability of two steady states. The conditions of stability of the two other steady states (which represent the complete failure of the adaptive immunity and the persistence of the disease) are formulated based on the domination of CTL cells response or the antibody response.
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