A probabilistic model to describe the dual phenomena of biochemical pathway damage and biochemical pathway repair

TL;DR

This paper introduces a probabilistic model based on Chapman-Kolmogorov equations to predict the likelihood of damage and repair in biochemical pathways caused by stochastic Brownian collisions.

Contribution

It provides an analytical framework to quantify the probabilities of pathway damage and repair over time, capturing the dual phenomena within biochemical networks.

Findings

Model predicts damage probability within arbitrary time intervals.

Model estimates repair probability within arbitrary time intervals.

Provides analytical solutions for damage and repair dynamics.

Abstract

Biochemical pathways emerge from a series of Brownian collisions between various types of biological macromolecules within separate cellular compartments and in highly viscous cytosol. Functioning of biochemical networks suggests that such serendipitous collisions, as a whole, result into a perfect synchronous order. Nonetheless, owing to the very nature of Brownian collisions, a small yet non-trivial probability can always be associated with the events when such synchronizations fail to emerge consistently; which account for a damage of a biochemical pathway. The repair mechanism of the system then attempts to minimize the damage, in the pursuit to bring restore the appropriate level of synchronization between reactant concentrations. Present work presents a predictive probabilistic model that describes the various facets of this complicated and coupled process(damaging and repairing). By describing the cytosolic reality of Brownian collisions with Chapman-Kolmogorov equations, the model presents analytical answers to the questions, with what probability a fragment of any pathway may suffer damage within an arbitrary interval of time? and with what probability the damage to a pathway can be repaired within any arbitrary interval of time?