Reduction of Mathematical Models of Nuclear Receptor Binding to Promoter Regions

TL;DR

This paper applies model reduction techniques, specifically Pseudo-first order approximation, to simplify a kinetic model of Nuclear Receptor Binding to Promoter Regions, reducing complexity while maintaining analytical solutions.

Contribution

It introduces a systematic reduction of a chemical kinetic model for nuclear receptor binding, decreasing species and reactions while providing analytical solutions.

Findings

Reduced from 9 species and 6 reactions to 6 species and 5 reactions.

Analytical solutions are derived for the simplified model.

Model reduction preserves key dynamics of the original system.

Abstract

We study kinetic model of Nuclear Receptor Binding to Promoter Regions. This model is written as a system of ordinary differential equations. Model reduction techniques have been used to simplify chemical kinetics.In this case study, the technique of Pseudo-first order approximation is applied to simplify the reaction rates. CellDesigner has been used to draw the structures of chemical reactions of Nuclear Receptor Binding to Promoter Regions. After model reduction, the general analytical solution for reduced model is given and the number of species and reactions are reduced from 9 species and 6 reactions to 6 species and 5 reactions.