Integrating Ordinary Differential Equations into Functional Mapping for Soybean Data

• Activity Number: 132
• Type: Contributed
• Date/Time: Monday, August 2, 2010 : 8:30 AM to 10:20 AM
• Sponsor: ENAR
• Author(s): Guifang Fu*+ and Rongling Wu
• Companies: Penn State and Penn State
• Keywords: QTL ; functional mapping ; ODE ; parameter estimate ; MLE

Abstract

Functional mapping is a statistical method for mapping quantitative trait loci (QTL) that regulate the dynamic pattern of a biological trait. This method integrates mathematical aspects of biological complexity into a mixture-based likelihood framework. We formulate a new QTL mapping framework by incorporating two ordinary differential equations (ODE). As a quantitative platform, the model allows for the testing of a number of biologically meaningful hypotheses to explore the pleiotropic basis of the QTL that regulate ontogeny and allometry. Real data analysis of a live example in soybean have been performed to investigate the statistical behavior of the model and validate its practical utilization. The statistical model proposed will help to study the genetic architecture of complex phenotypes and, therefore gain better insights into the mechanistic regulation for pattern in organisms.