Mathematical model of immune response to hepatitis B

FF Chenar, YN Kyrychko, KB Blyuss - Journal of theoretical biology, 2018 - Elsevier
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 …

Modeling the adaptive immune response in HBV infection

N Yousfi, K Hattaf, A Tridane - Journal of mathematical biology, 2011 - Springer
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 …

[HTML][HTML] Bio-mathematical models of viral dynamics to tailor antiviral therapy in chronic viral hepatitis

MR Brunetto, P Colombatto… - World Journal of …, 2009 - ncbi.nlm.nih.gov
The simulation of the dynamics of viral infections by mathematical equations has been
applied successfully to the study of viral infections during antiviral therapy. Standard models …

The importance of immune responses in a model of hepatitis B virus

J Pang, J Cui, J Hui - Nonlinear Dynamics, 2012 - Springer
In this paper, the dynamical behavior of a hepatitis B virus model with CTL immune
responses is studied. Analyzing the model, we show that the virus-free equilibrium is …

Mathematical model of antiviral immune response. II. Parameters identification for acute viral hepatitis B

GI Marchuk, AA Romanyukha, GA Bocharov - Journal of theoretical biology, 1991 - Elsevier
Considering the mathematical model of antiviral immune response, we describe a method of
fitting the model to the data characterizing acute viral hepatitis B. The corresponding …

Modeling the mechanisms of acute hepatitis B virus infection

SM Ciupe, RM Ribeiro, PW Nelson… - Journal of theoretical …, 2007 - Elsevier
Mathematical models have been used to understand the factors that govern infectious
disease progression in viral infections. Here we focus on hepatitis B virus (HBV) dynamics …

Mathematical modeling of the adaptive immune responses in the early stage of the HBV infection

K Allali, A Meskaf, A Tridane - International Journal of …, 2018 - Wiley Online Library
The aim of this paper is to study the early stage of HBV infection and impact delay in the
infection process on the adaptive immune response, which includes cytotoxic T …

Dynamical analysis on a chronic hepatitis C virus infection model with immune response

J Li, K Men, Y Yang, D Li - Journal of Theoretical Biology, 2015 - Elsevier
A mathematical model for HCV infection is established, in which the effect of dendritic cells
(DC) and cytotoxic T lymphocytes (CTL) on HCV infection is considered. The basic …

[HTML][HTML] Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice

SM Ciupe, H Dahari, A Ploss - Bulletin of Mathematical Biology, 2024 - Springer
Analyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV)
infection is essential for understanding disease progression and control. Here we developed …

Optimal control of a delayed hepatitis B viral infection model with cytotoxic T-lymphocyte and antibody responses

A Meskaf, K Allali, Y Tabit - International Journal of Dynamics and Control, 2017 - Springer
The dynamics of a model describing the hepatitis B viral infection model with cytotoxic T-
lymphocyte and antibody responses is studied in this paper. The model consists of a system …