Mittler1998_HIV1_interactingTargetCells

  public model
Model Identifier
MODEL1006230055
Short description

This a model from the article:
Influence of delayed viral production on viral dynamics in HIV-1 infected patients.
Mittler JE, Sulzer B, Neumann AU, Perelson AS. Math Biosci 1998 Sep;152(2):143-63 9780612 ,
Abstract:
We present and analyze a model for the interaction of human immunodeficiency virus type 1 (HIV-1) with target cells that includes a time delay between initial infection and the formation of productively infected cells. Assuming that the variation among cells with respect to this 'intracellular' delay can be approximated by a gamma distribution, a high flexible distribution that can mimic a variety of biologically plausible delays, we provide analytical solutions for the expected decline in plasma virus concentration after the initiation of antiretroviral therapy with one or more protease inhibitors. We then use the model to investigate whether the parameters that characterize viral dynamics can be identified from biological data. Using non-linear least-squares regression to fit the model to simulated data in which the delays conform to a gamma distribution, we show that good estimates for free viral clearance rates, infected cell death rates, and parameters characterizing the gamma distribution can be obtained. For simulated data sets in which the delays were generated using other biologically plausible distributions, reasonably good estimates for viral clearance rates, infected cell death rates, and mean delay times can be obtained using the gamma-delay model. For simulated data sets that include added simulated noise, viral clearance rate estimates are not as reliable. If the mean intracellular delay is known, however, we show that reasonable estimates for the viral clearance rate can be obtained by taking the harmonic mean of viral clearance rate estimates from a group of patients. These results demonstrate that it is possible to incorporate distributed intracellular delays into existing models for HIV dynamics and to use these refined models to estimate the half-life of free virus from data on the decline in HIV-1 RNA following treatment.

This model was taken from the CellML repository and automatically converted to SBML.
The original model was: Mittler JE, Sulzer B, Neumann AU, Perelson AS. (1998) - version=1.0
The original CellML model was created by:
Catherine Lloyd
c.lloyd@auckland.ac.nz
The University of Auckland

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To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.

Format
SBML (L2V4)
Related Publication
  • Influence of delayed viral production on viral dynamics in HIV-1 infected patients.
  • Mittler JE, Sulzer B, Neumann AU, Perelson AS
  • Mathematical biosciences , 9/ 1998 , Volume 152 , pages: 143-163 , PubMed ID: 9780612
  • Theoretical Biology and Biophysics Group, Los Alamos National Laboratory, MS-K710, NM 87545, USA. jmittler@t10.lanl.gov
  • We present and analyze a model for the interaction of human immunodeficiency virus type 1 (HIV-1) with target cells that includes a time delay between initial infection and the formation of productively infected cells. Assuming that the variation among cells with respect to this 'intracellular' delay can be approximated by a gamma distribution, a high flexible distribution that can mimic a variety of biologically plausible delays, we provide analytical solutions for the expected decline in plasma virus concentration after the initiation of antiretroviral therapy with one or more protease inhibitors. We then use the model to investigate whether the parameters that characterize viral dynamics can be identified from biological data. Using non-linear least-squares regression to fit the model to simulated data in which the delays conform to a gamma distribution, we show that good estimates for free viral clearance rates, infected cell death rates, and parameters characterizing the gamma distribution can be obtained. For simulated data sets in which the delays were generated using other biologically plausible distributions, reasonably good estimates for viral clearance rates, infected cell death rates, and mean delay times can be obtained using the gamma-delay model. For simulated data sets that include added simulated noise, viral clearance rate estimates are not as reliable. If the mean intracellular delay is known, however, we show that reasonable estimates for the viral clearance rate can be obtained by taking the harmonic mean of viral clearance rate estimates from a group of patients. These results demonstrate that it is possible to incorporate distributed intracellular delays into existing models for HIV dynamics and to use these refined models to estimate the half-life of free virus from data on the decline in HIV-1 RNA following treatment.
Contributors
Submitter of the first revision: Camille Laibe
Submitter of this revision: Camille Laibe
Modellers: Camille Laibe

Metadata information

is (1 statement)
BioModels Database MODEL1006230055

isDescribedBy (1 statement)
PubMed 9780612

hasTaxon (1 statement)
Taxonomy Homo sapiens

isVersionOf (2 statements)
Gene Ontology viral entry into host cell
Experimental Factor Ontology HIV infection

hasProperty (1 statement)
Mathematical Modelling Ontology Ordinary differential equation model

occursIn (1 statement)
Brenda Tissue Ontology helper T-lymphocyte


Curation status
Non-curated


Original model(s)
http://models.cellml.org/exposure/0d32bf39c8af51c44373b2e68c3cec74

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MODEL1006230055.sci Auto-generated Scilab file 198.00 Bytes Preview | Download
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MODEL1006230055.vcml Auto-generated VCML file 900.00 Bytes Preview | Download
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MODEL1006230055_urn.xml Auto-generated SBML file with URNs 15.87 KB Preview | Download

  • Model originally submitted by : Camille Laibe
  • Submitted: Jun 23, 2010 10:12:16 AM
  • Last Modified: Jun 25, 2010 2:18:20 PM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Jun 25, 2010 2:18:20 PM
    • Submitted by: Camille Laibe
    • With comment: Current version of Mittler1998_HIV1_interactingTargetCells
  • Version: 1 public model Download this version
    • Submitted on: Jun 23, 2010 10:12:16 AM
    • Submitted by: Camille Laibe
    • With comment: Original import of Mittler1998_HIV1_interactingTargetCells

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