Mutation and control of the human immunodeficiency virus

Robert F. Stengel

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


We examine the dynamics of infection by the human immunodeficiency virus (HIV), as well as therapies that minimize viral load, restore adaptive immunity, and use minimal dosage of anti-HIV drugs. Virtual therapies for wild-type infections are demonstrated; however, the HIV infection is never cured, requiring continued treatment to keep the condition in remission. With high viral turnover and mutation rates, drug-resistant strains of HIV evolve quickly. The ability of optimal therapy to contain drug-resistant strains is shown to depend upon the relative fitness of mutant strains.

Original languageEnglish (US)
Pages (from-to)93-102
Number of pages10
JournalMathematical Biosciences
Issue number2
StatePublished - Jun 2008

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


  • HIV dynamics
  • Mathematical model
  • Nonlinear control
  • Optimal therapy


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