Dynamics of acute hepatitis B virus infection in chimpanzees

Xiao Chen, Lequan Min, Yu Zheng, Yang Kuang, Yongan Ye

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)157-170
Number of pages14
JournalMathematics and Computers in Simulation
Volume96
DOIs
StatePublished - 2014

Fingerprint

Viruses
Acute
Virus
Infection
DNA
Cell
Antigen-antibody reactions
Reproductive number
T Lymphocytes
T-cells
Immune Response
Relative Error
Dose
Model
Distinct
Numerical Simulation
Computer simulation

Keywords

  • Acute HBV in infection chimpanzees
  • Basic virus reproductive number
  • Globally attractive
  • Mathematical model
  • Virus free equilibrium

ASJC Scopus subject areas

  • Modeling and Simulation
  • Numerical Analysis
  • Applied Mathematics
  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Dynamics of acute hepatitis B virus infection in chimpanzees. / Chen, Xiao; Min, Lequan; Zheng, Yu; Kuang, Yang; Ye, Yongan.

In: Mathematics and Computers in Simulation, Vol. 96, 2014, p. 157-170.

Research output: Contribution to journalArticle

Chen, Xiao ; Min, Lequan ; Zheng, Yu ; Kuang, Yang ; Ye, Yongan. / Dynamics of acute hepatitis B virus infection in chimpanzees. In: Mathematics and Computers in Simulation. 2014 ; Vol. 96. pp. 157-170.
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