Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy

Abba Gumel, T. D. Loewen, P. N. Shivakumar, B. M. Sahai, P. Yu, M. L. Garba

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A competitive, chaos-free, implicit, finite-difference method is developed and used for a novel deterministic model for the perturbation of HIV by combination antiretroviral therapy. The compartmental model monitors the interaction between HIV and CD4+ T cells, its principal target and site of replication in vivo, in the presence of reverse transcription inhibitors and protease inhibitors. The model exhibits two steady states, an uninfected (trivial) steady state (with no virus present) and an endemically infected state (with virus and infected T cells present). Stability and bifurcation analyses together with numerical simulations of the resulting dynamical system are reported.

Original languageEnglish (US)
Pages (from-to)287-301
Number of pages15
JournalComputers in Biology and Medicine
Volume31
Issue number5
DOIs
StatePublished - 2001
Externally publishedYes

Fingerprint

HIV-1
T-cells
HIV
Viruses
T-Lymphocytes
Protease Inhibitors
Reverse Transcription
Transcription
Finite difference method
Chaos theory
Dynamical systems
Therapeutics
Computer simulation
Peptide Hydrolases

Keywords

  • Antiretroviral therapy
  • Bifurcation
  • Critical point
  • Finite-difference method
  • Initial-value problem
  • Stability
  • T cells
  • Viral load

ASJC Scopus subject areas

  • Computer Science Applications

Cite this

Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. / Gumel, Abba; Loewen, T. D.; Shivakumar, P. N.; Sahai, B. M.; Yu, P.; Garba, M. L.

In: Computers in Biology and Medicine, Vol. 31, No. 5, 2001, p. 287-301.

Research output: Contribution to journalArticle

Gumel, Abba ; Loewen, T. D. ; Shivakumar, P. N. ; Sahai, B. M. ; Yu, P. ; Garba, M. L. / Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. In: Computers in Biology and Medicine. 2001 ; Vol. 31, No. 5. pp. 287-301.
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