Stability of Intercelular Exchange of Biochemical Substances Affected by Variability of Environmental Parameters

TL;DR

This paper investigates the stability of biochemical exchange between cells under environmental variability using a simplified bacterial communication model based on coupled difference logistic equations.

Contribution

It introduces a stability analysis of intercellular biochemical exchange considering environmental and internal parameter variability using a mathematical logistic model.

Findings

Identifies conditions for stable biochemical exchange

Shows impact of environmental variability on communication stability

Provides a mathematical framework for analyzing cell communication stability

Abstract

Communication between cells is realized by exchange of biochemical substances. Due to internal organization of living systems and variability of external parameters, the exchange is heavily influenced by perturbations of various parameters at almost all stages of the process. Since communication is one of essential processes for functioning of living systems it is of interest to investigate conditions for its stability. Using previously developed simplified model of bacterial communication in a form of coupled difference logistic equations we investigate stability of exchange of signaling molecules under variability of internal and external parameters.