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.
Recommended Citation
Rehm, Amanda Marie, "Proper Orthogonal Decomposition for Parameter Estimation in Oscillating Biological Networks" (2011). All ETDs from UAB. 2808.
https://digitalcommons.library.uab.edu/etd-collection/2808