The importance of immune responses in a model of hepatitis B virus
- 300 Downloads
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 globally asymptotically stable if the basic reproductive ratio of virus is less than one and the endemic equilibrium is locally asymptotically stable if the basic reproductive ratio is greater than one. When the basic reproductive ratio is greater than one, the system is uniformly persistent, which means the virus is endemic. Mathematical analysis and numerical simulations show that the CTL immune responses play a significant and decisive role in eradication of disease. The study and information derived from this model may have an important impact on treatment protocols of hepatitis B virus in the future.
KeywordsViral dynamics Basic reproductive ratio Cytolytic mechanisms Noncytolytic mechanisms Permanence
Unable to display preview. Download preview PDF.
- 1.World Health Organization: Hepatitis B. WHO/CDS/CSR/LYO/2002.2: Hepatitis B. This document has been downloaded from the WHO/CSR Web site. http://www.who.int/csr/disease/hepatitis/whocdscsrlyo20022/en/ (2002)
- 6.Long, C., Qi, H., Huang, S.H.: Mathematical modeling of cytotoxic lymphocyte-mediated immune responses to hepatitis B virus infection. J. Biomed. Biotechnol. 38, 1573–1585 (2008) Google Scholar
- 10.Zeuzem, S., Schmidt, J.M., Lee, J.H., et al.: Effect of inferferomalt on the dynamics of hepatitis C virus turnover in vivo. J. Hepatol. 23, 366–371 (1996) Google Scholar
- 23.Wikipedia. Elasticity coefficient. http://en.wikipedia.org/wiki/Elasticity_Coefficient (2010)
- 25.Woods, J.H., Sauro, H.M.: Elasticities in metabolic control analysis: algebraic derivation of simplified expressions. Comput. Appl. Biosci. 13, 123–130 (1997) Google Scholar
- 30.Nowak, M.A., May, R.M.: Viral Dynamics. Oxford University Press, Oxford (2000) Google Scholar