A dynamic model for functional mapping of biological rhythms

Guifang Fu, Jiangtao Luo, Arthur Berg, Zhong Wang, Jiahan Li, Kiranmoy Das, Runze Li, Rongling Wu

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Functional mapping is a statistical method for mapping quantitative trait loci (QTLs) that regulate the dynamic pattern of a biological trait. This method integrates mathematical aspects of biological complexity into a mixture model for genetic mapping and tests the genetic effects of QTLs by comparing genotypespecific curve parameters. As a way of quantitatively specifying the dynamic behaviour of a system, differential equations have proved to be powerful for modelling and unravelling the biochemical, molecular, and cellular mechanisms of a biological process, such as biological rhythms. The equipment of functional mapping with biologically meaningful differential equations provides new insights into the genetic control of any dynamic processes. We formulate a new functional mapping framework for a dynamic biological rhythm by incorporating a group of ordinary differential equations (ODE). The Runge-Kutta fourth-order algorithm was implemented to estimate the parameters that define the system of ODE. The new model will find its implications for understanding the interplay between gene interactions and developmental pathways in complex biological rhythms.

Original languageEnglish (US)
Pages (from-to)84-101
Number of pages18
JournalJournal of Biological Dynamics
Volume5
Issue number1
DOIs
Publication statusPublished - Jan 1 2011

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Keywords

  • Biological rhythm
  • Differential equation
  • Functional mapping
  • Quantitative trait loci

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Fu, G., Luo, J., Berg, A., Wang, Z., Li, J., Das, K., ... Wu, R. (2011). A dynamic model for functional mapping of biological rhythms. Journal of Biological Dynamics, 5(1), 84-101. https://doi.org/10.1080/17513758.2010.491558