Parameter Estimation in ODE Models using Least-squares Regression

Authors

• Ulrich A. Hoensch, Capella University, Minneapolis, MNFollow

Publication Date

5-19-2026

Keywords

ODE, Parameter Estimation, Linear Regression

Disciplines

Mathematics | Physical Sciences and Mathematics | Science and Mathematics Education

Abstract

We present a method of estimating model parameters for non-linear ODEs using least-squares regression. The coefficient of determination can be used as a measure of model fit. The method is demonstrated using US population data to fit a logistic growth model. Also, a competing species model is used to describe the interaction of two different species of yeast.

Recommended Citation

Hoensch, Ulrich A. (2026) "Parameter Estimation in ODE Models using Least-squares Regression," CODEE Journal: Vol. 20: Iss. 2, Article 2.
Available at: https://scholarship.claremont.edu/codee/vol20/iss2/2