Date: Apr 15th, Tuesday
Time: 11:45 am
Place: Little 339 (the Atrium)
Speaker: : Guifang Fu

 
Title:
 Integration of Functional Mapping and Delay Differential
Equations to Map the Genes that Regulate Circadian Rhythms

　

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.


The pizza and drinks will be provided after the talk.