All ETDs from UAB

Advisory Committee Chair

Hassan M Fathallah-Shaykh

Advisory Committee Members

Yulia Karpeshina

Ian Knowles

Document Type

Thesis

Date of Award

2011

Degree Name by School

Master of Science (MS) College of Arts and Sciences

Abstract

Proper orthogonal decomposition (POD) is frequently applied to estimate parameters of partial differential equations. This study examines the application of the POD method in estimating the parameters of an Ordinary Differential Equation (ODE) model of stable oscillating biological networks. The model is related to the Lotka-Volterra equations. The findings reveal that POD generates accurate estimates of the parameters; furthermore, extrapolating biologically measured data points to a number of oscillations improves the curve fits, C1 approximations, and parameter estimations. KEYWORDS: Proper Orthogonal Decomposition, Ordinary Differential Equations, Biological Networks, Oscillations, Parameters.

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