Mutation and control of the human immunodeficiency virus

Robert F. Stengel

doi:10.1016/j.mbs.2008.03.002

Mutation and control of the human immunodeficiency virus

Robert F. Stengel

Mechanical & Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	93-102
Number of pages	10
Journal	Mathematical Biosciences
Volume	213
Issue number	2
DOIs	https://doi.org/10.1016/j.mbs.2008.03.002
State	Published - Jun 2008

All Science Journal Classification (ASJC) codes

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

Keywords

HIV dynamics
Mathematical model
Nonlinear control
Optimal therapy

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10.1016/j.mbs.2008.03.002

Cite this

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title = "Mutation and control of the human immunodeficiency virus",

abstract = "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.",

keywords = "HIV dynamics, Mathematical model, Nonlinear control, Optimal therapy",

author = "Stengel, {Robert F.}",

note = "Funding Information: This research was initiated under a grant from the Alfred P. Sloan Foundation. The paper was written while the author was on sabbatical leave from Princeton University as a member of the Simons Center for Systems Biology, Institute for Advanced Study, Princeton, NJ. Discussions with Alan Perelson, Los Alamos National Laboratory, Paul Shapshak, University of Miami, Arnold Levine, director of the Institute{\textquoteright}s Center, and members of the Center have been invaluable. David Sachs, {\textquoteright}02, Hugh Strange, {\textquoteright}04, and students taking the author{\textquoteright}s graduate course on optimal control and estimation provided preliminary analyses that were helpful in formulating the current study.",

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N2 - 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.

AB - 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.

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KW - Mathematical model

KW - Nonlinear control

KW - Optimal therapy

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Mutation and control of the human immunodeficiency virus

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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