Mathematical Modeling of Biochemical Reactions Under Random Effects

Abstract

In this study, random effects are added to the parameters of the deterministic Biochemical ReactionModel (BRM) to form a system of random differential equations. A random model is built with these equations todescribe the random behavior of biochemical reactions. Gaussian and Beta distributions are used for the randomeffect terms. Numerical characteristics of the random model are investigated using the simulations of the randomequation system. Characteristics of the model components under Gaussian and Beta distributed effects are comparedand comments are made on the difference in these two cases. The results are also used to explore the differences inthe deterministic and random models of BRM and to study the random behavior of the model components.