Abstract
Hepatitis B is considered as the most common hepatic in the world and may lead to cirrhosis and liver cancer. It is caused by the hepatitis B virus, which attacks and can damage the liver. In this paper we investigate a new mathematical model to study the dynamic process of HBV infection on the liver. This model is based on a three dimensional cellular automaton, which is composed of four state variables. The model takes into account the heterogeneous feature and the spatial localization of the population studied. Furthemore, since the virus doesn’t remain only on the liver surface but penetrates into the organ, our model describes better the behavior of interactions between cells and hepatitis B virus in the liver than the previous works found in the literature, which have used only two cellular automata in their models.
Highlights
Hepatitis B virus (HBV) infection is considered as a major global health problem because it is a potentially life-threatening viral infection that can cause illness and even death
In this paper we investigate a new mathematical model to study the dynamic process of hepatitis B virus (HBV) infection on the liver
This model is based on a three dimensional cellular automaton, which is composed of four state variables
Summary
Hepatitis B virus (HBV) infection is considered as a major global health problem because it is a potentially life-threatening viral infection that can cause illness and even death. In the reality the virus infection system is not homogeneous and the populations of viruses and cells are not uniformly mixed To overcome this problem, there are a few works in the literature [6, 7] which have studied the dynamic process of HBV infection by considering the inhomogeneous feature. They asserted that the CA can reproduce the basic dynamical features of the infection All these previous works have good described the interactions between the hepathocytes cells and HBV during the infection taking into account to the heterogeneity of the population studied, the virus doesn’t remain only on the liver surface but penetrates into it. A brief discussion and concluding remarks round up the paper
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