Dynamics of acute hepatitis B virus infection \ in chimpanzees

CHEN Xiao; MIN  Le-Quan; ZHENG Yu; KUANG Yang; YE Yong-An

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Dynamics of acute hepatitis B virus infection \ in chimpanzees

CHEN Xiao 1,MIN Le-Quan 2, ZHENG Yu 1, KUANG Yang 3, YE Yong-An 4

1. School of Automation, University of Science and Technology Beijing, Beijing 100083

2.School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083; chool of Automation, University of Science and Technology Beijing, Beijing 100083

3. School of Mathematical and Statistical Sciences, Arizona State University,

4. Dongzhimen Hospital, Beijing University of Chinese Medicine, Beijing 100700

*Correspondence author

#Submitted by

Subject:

Funding: 11th 5-Year Plan Key Research Project of China （No.No.2008ZX10005-006）, the NNSF of China（No.No.61074192）

Opened online: 4 February 2013

Accepted by: none

Citation: CHEN Xiao,MIN Le-Quan, ZHENG Yu.Dynamics of acute hepatitis B virus infection \ in chimpanzees[OL]. [ 4 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4516607

We formulate a minimum virus infection model aiming at explainingwhy two acute Hepatitis B virus (HBV) infected chimpanzees with lowdose HBV DNA inoculation resulted in either prolonged or persistentinfections. This model has four variables: number of uninfectedcells, number of infected cells, number of free virus (HBV DNA),number of cytotoxic T lymphocytes (CTL) cells. The equation includes9 parameters. Two of the parameters related to immune reactions willchange during the course of the HBV infection. A minimizationmaximum relative error square criterion is used to determinenumerically the two immune parameters. We show that if a basic virusreproductive number is $R_0(t)< 1$, then the virus free solution ofthe model is globally attractive. This may provide a simple explanationto the observed distinct infection outcomes for two chimpanzees withthe same inoculated dosage of 10GE of HBV DNA. The numericalsimulation results also suggest that the immune response plays a keyrole in clearing the HBV from all infected hepatocytes.

Keywords:Acute HBV in infection chimpanzees, differential equation model, basic virus reproductive number, virus free equilibrium, global stability, numerical simulation.

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