Advisory Committee Chair
Hassan M Fathallah-Shaykh
Advisory Committee Members
Date of Award
Degree Name by School
Master of Science (MS) College of Arts and Sciences
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.
Rehm, Amanda Marie, "Proper Orthogonal Decomposition for Parameter Estimation in Oscillating Biological Networks" (2011). All ETDs from UAB. 2808.