Quantitative Trait Loci Mapping with Differential Equation Models
Jiguo Cao, Department of Statistics & Actuarial Science, Simon Fraser University, Vancouver, Canada
Monday, January 24, 2011
4:00 p.m., room 223, Weber Bldg
Genetic mapping, attributing a phenotypic trait to its underlying genes, known as quantitative trait loci (QTLs), has been proven powerful for constructing the genotype-phenotype relationship. However, the traditional methods often neglect the biological principles underlying the dynamic interactions among different components in a complex biological system. In order to take into account these biological principles, we develop a conceptual model, called systems mapping. A group of ordinary differential equations (ODE) are proposed to quantity how alterations of different components lead to the global change of the biological system under the regulations of specific QTLs. The ODE parameters are estimated from the noisy time-course trait data in a framework of functional mixture models. Through testing genotype-specific differences in ODE parameters, system mapping can identify the genetic effects of QTLs on component-component interactions. System mapping should enable geneticists to shed light on the genetic complexity of the biological system and predict its physiological and pathological states.