A differential equation model for functional mapping of a virus-cell dynamic system

Jiangtao Luo, William W. Hager, Rongling Wu

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The dynamic pattern of viral load in a patient's body critically depends on the host's genes. For this reason, the identification of those genes responsible for virus dynamics, although difficult, is of fundamental importance to design an optimal drug therapy based on patients' genetic makeup. Here, we present a differential equation (DE) model for characterizing specific genes or quantitative trait loci (QTLs) that affect viral load trajectories within the framework of a dynamic system. The model is formulated with the principle of functional mapping, originally derived to map dynamic QTLs, and implemented with a Markov chain process. The DE-integrated model enhances the mathematical robustness of functional mapping, its quantitative prediction about the temporal pattern of genetic expression, and therefore its practical utilization and effectiveness for gene discovery in clinical settings. The model was used to analyze simulated data for viral dynamics, aimed to investigate its statistical properties and validate its usefulness. With an increasing availability of genetic polymorphic data, the model will have great implications for probing the molecular genetic mechanism of virus dynamics and disease progression.

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournal of Mathematical Biology
Volume61
Issue number1
DOIs
StatePublished - Jan 1 2010

Fingerprint

Markov Chains
Quantitative Trait Loci
Viral Load
Viruses
Virus
Dynamic Systems
Dynamical systems
Differential equations
Differential equation
viruses
Genes
Cell
Genetic Association Studies
Gene
Virus Diseases
Disease Progression
Molecular Biology
Theoretical Models
cells
viral load

Keywords

  • Differential equation
  • Functional mapping
  • Quantitative trait loci
  • Viral dynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Cite this

A differential equation model for functional mapping of a virus-cell dynamic system. / Luo, Jiangtao; Hager, William W.; Wu, Rongling.

In: Journal of Mathematical Biology, Vol. 61, No. 1, 01.01.2010, p. 1-15.

Research output: Contribution to journalArticle

Luo, Jiangtao ; Hager, William W. ; Wu, Rongling. / A differential equation model for functional mapping of a virus-cell dynamic system. In: Journal of Mathematical Biology. 2010 ; Vol. 61, No. 1. pp. 1-15.
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