Analysis of a Mathematical Model of Real-Time Competitive Binding on a Microarray

Authors

Frank H. Lynch, Eastern Washington UniversityFollow

Publication Date

3-11-2022

Keywords

Law of mass action, conservation laws, kinetic equations, competitive binding, planar systems, linearization

Disciplines

Mathematics | Physical Sciences and Mathematics | Science and Mathematics Education

Abstract

A mathematical model of competitive binding on a microarray in real-time yields a planar system of nonlinear ordinary differential equations. This model can be used to explore dimensionless formulation, linear approximation, and reduction. Real-time competitive binding is proposed as an uncommon approach to advance the study of planar systems of differential equations.

Recommended Citation

Lynch, Frank H. (2022) "Analysis of a Mathematical Model of Real-Time Competitive Binding on a Microarray," CODEE Journal: Vol. 15, Article 2.
Available at: https://scholarship.claremont.edu/codee/vol15/iss1/2

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License