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

38 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

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

Keywords

HIV dynamics
Mathematical model
Nonlinear control
Optimal therapy

Access to Document

10.1016/j.mbs.2008.03.002

Cite this

@article{c80022e58ff54d828fa2701e97a7a180,

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.",

year = "2008",

month = jun,

doi = "10.1016/j.mbs.2008.03.002",

language = "English (US)",

volume = "213",

pages = "93--102",

journal = "Mathematical Biosciences",

issn = "0025-5564",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - Mutation and control of the human immunodeficiency virus

AU - Stengel, Robert F.

N1 - 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’s Center, and members of the Center have been invaluable. David Sachs, ’02, Hugh Strange, ’04, and students taking the author’s graduate course on optimal control and estimation provided preliminary analyses that were helpful in formulating the current study.

PY - 2008/6

Y1 - 2008/6

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.

KW - HIV dynamics

KW - Mathematical model

KW - Nonlinear control

KW - Optimal therapy

UR - http://www.scopus.com/inward/record.url?scp=44649098765&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44649098765&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2008.03.002

DO - 10.1016/j.mbs.2008.03.002

M3 - Article

C2 - 18439629

AN - SCOPUS:44649098765

SN - 0025-5564

VL - 213

SP - 93

EP - 102

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 2

ER -

Mutation and control of the human immunodeficiency virus

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this