Protein Synthesis- Degradation, A Stochastic Approach-part I

TL;DR

This paper introduces a stochastic mathematical model for protein synthesis and degradation, providing exact solutions for the joint probability distribution of protein copies in cells using generating functions.

Contribution

It presents a novel exact analytical method for a two-dimensional birth-death process with interactions in protein dynamics.

Findings

Exact solutions for steady-state distributions

Method applicable to interacting birth-death processes

Provides a framework for stochastic protein modeling

Abstract

In this work, we study a protein synthesis degradation process by defining a general mathematical model. Using generating function technique we present a method that allows exact calculation of joint probability distribution of protein copies in a cell for a two dimensional birth-death process with interaction. We discuss the model in steady state for a particular choice of transition rules and find exact solutions.