Integration of functional mapping and delay differential equations to map the genes that regulate circadian rhythms

Yunmei Chen, Guifang Fu, Rongling Wu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Most living organisms develop the capacity of generating autonomously sustained oscillations with a period close to 24h. Genes have been thought to play a central role in the regulation of this process, but the detection of these genes (or quantitative trait loci, QTLs) has been made possible with a newly developed functional mapping model. Functional mapping is the integration between genetic mapping and biological principles through mathematical equations. In this article, we equip functional mapping with a biologically meaningful delay differential equations (DDEs) to model circadian rhythms measured in terms of mRNA and protein abundance in time course. The integrative model provides a quantitative framework for assessing the interplay between genetic effects of QTLs and rhythmic responses. By embedding Runge-Kutta forth order algorithm within the likelihood-based context, we obtained estimates of genetic parameters including QTL allele frequency, QTL effects, and the linkage disequilibrium of the QTL and a marker. The potential implications of the new model are discussed.

Original languageEnglish (US)
Title of host publicationInternational Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics 2008, BCBGC 2008
Pages118-125
Number of pages8
StatePublished - Dec 1 2008
Event2008 International Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics, BCBGC 2008 - Orlando, FL, United States
Duration: Jul 7 2008Jul 10 2008

Publication series

NameInternational Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics 2008, BCBGC 2008

Other

Other2008 International Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics, BCBGC 2008
CountryUnited States
CityOrlando, FL
Period7/7/087/10/08

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Genetics

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    Chen, Y., Fu, G., & Wu, R. (2008). Integration of functional mapping and delay differential equations to map the genes that regulate circadian rhythms. In International Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics 2008, BCBGC 2008 (pp. 118-125). (International Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics 2008, BCBGC 2008).