Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639180 | Journal of Computational and Applied Mathematics | 2014 | 16 Pages |
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 mathematical model used to simulate molecular interactions in these oscillating networks is related to the Gause–Lotka–Volterra equations. The findings reveal that POD generates accurate estimates of the parameters even in the presence of experimental noise; furthermore, extrapolating biologically measured data points to a number of oscillations improves the curve fits, C1C1 approximations, and parameter estimations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Amanda M. Rehm, Elizabeth Y. Scribner, Hassan M. Fathallah-Shaykh,