Mathematical Modeling of Biochemical Reactions Under Random Effects

Abstract

In this study, random effects are added to the parameters of the deterministic Biochemical Reaction

Model (BRM) to form a system of random differential equations. A random model is built with these equations to

describe the random behavior of biochemical reactions. Gaussian and Beta distributions are used for the random

effect terms. Numerical characteristics of the random model are investigated using the simulations of the random

equation system. Characteristics of the model components under Gaussian and Beta distributed effects are compared

and comments are made on the difference in these two cases. The results are also used to explore the differences in

the deterministic and random models of BRM and to study the random behavior of the model components.

Keywords

• Random Differential Equation,Biochemical Reaction Model,Beta Distribution,Gaussian Distribution,Random Effect,Runge Kutta Method

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