TY - JOUR
T1 - Dynamics of acute hepatitis B virus infection in chimpanzees
AU - Chen, Xiao
AU - Min, Lequan
AU - Zheng, Yu
AU - Kuang, Yang
AU - Ye, Yongan
N1 - Funding Information:
The authors gratefully acknowledge anonymous reviewers for very valuable criticisms and suggestions, Dr. Stefan F. Wieland at The Scripps Research Institute for providing the data of the two chimpanzees. This work is jointly supported by the 11th 5-Year Plan Key Research Project of China (No. 2008ZX10005-006 ), the NNSF of China (No. 61074192 ), NSF grants DMS-0436341 and DMS-0920744 of US, USTB grants 06108044 and 06108087 . The abstract of some content from this manuscript has been published in Hepatology International 4 (1) (2010) 52, entitled “Modeling Dynamics of acutely Infected Chimpanzees”, which was an oral presentation announced in the 20th Conf. of the Asian Pacific Association for the liver, March 25–28, 2010, Beijing, China.
PY - 2014
Y1 - 2014
N2 - We formulate a minimum virus infection model aiming at explaining why two acute hepatitis B virus (HBV) infected chimpanzees with low dose HBV DNA inoculation resulted in either prolonged or persistent infections. This model has four variables: number of uninfected cells, number of infected cells, number of free virus (HBV DNA), and number of cytotoxic T lymphocytes (CTL) cells. The equation includes nine parameters. Two of the parameters related to immune reactions will change during the course of the HBV infection. A minimization maximum relative error square criterion is used to determine numerically the two immune parameters. We show that if a basic virus reproductive number is R 0(t) < 1, then the virus free solution of the model is globally attractive. This may provide a simple explanation to the observed distinct infection outcomes for two chimpanzees with the same inoculated dosage of 10 GE of HBV DNA. The numerical simulation results also suggest that the immune response plays a key role in clearing the HBV from all infected hepatocytes.
AB - We formulate a minimum virus infection model aiming at explaining why two acute hepatitis B virus (HBV) infected chimpanzees with low dose HBV DNA inoculation resulted in either prolonged or persistent infections. This model has four variables: number of uninfected cells, number of infected cells, number of free virus (HBV DNA), and number of cytotoxic T lymphocytes (CTL) cells. The equation includes nine parameters. Two of the parameters related to immune reactions will change during the course of the HBV infection. A minimization maximum relative error square criterion is used to determine numerically the two immune parameters. We show that if a basic virus reproductive number is R 0(t) < 1, then the virus free solution of the model is globally attractive. This may provide a simple explanation to the observed distinct infection outcomes for two chimpanzees with the same inoculated dosage of 10 GE of HBV DNA. The numerical simulation results also suggest that the immune response plays a key role in clearing the HBV from all infected hepatocytes.
KW - Acute HBV in infection chimpanzees
KW - Basic virus reproductive number
KW - Globally attractive
KW - Mathematical model
KW - Virus free equilibrium
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U2 - 10.1016/j.matcom.2013.05.003
DO - 10.1016/j.matcom.2013.05.003
M3 - Article
AN - SCOPUS:84888309733
SN - 0378-4754
VL - 96
SP - 157
EP - 170
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -