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  • 标题:A dynamic model for functional mapping of biological rhythms
  • 本地全文:下载
  • 作者:Guifang Fu ; Jiangtao Luo ; Arthur Berg
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2011
  • 卷号:5
  • 期号:1
  • 页码:84-101
  • DOI:10.1080/17513758.2010.491558
  • 出版社:Taylor & Francis
  • 摘要: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 genotype-specific 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.
  • 关键词:differential equation; functional mapping; quantitative trait loci; biological rhythm
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