Modeling the Intercelular Exchange of Signalling Molecules depending on Intra- and Inter-Cellular Environmental Parameters

TL;DR

This paper develops a formal model of biochemical substance exchange between bacterial cells, analyzing how internal and external environmental parameters influence synchronization using coupled logistic equations and nonlinear dynamics.

Contribution

It introduces a formalized approach to model intercellular biochemical exchange and investigates synchronization sensitivity to environmental fluctuations.

Findings

Synchronization depends on environmental parameter fluctuations

Coupled logistic equations effectively model intercellular exchange

Sensitivity analysis reveals critical parameters affecting synchronization

Abstract

Exchange of biochemical substances is essential way in establishing communication between bacterial cells. It is noticeable that all phases of the process are heavily influenced by perturbations of either internal or external parameters. Therefore, instead to develop an accurate quantitative model of substances exchange between bacterial cells, we are interested in formalization of the basic shape of the process, and creating the appropriate strategy that allows further investigation of synchronization. Using a form of coupled difference logistic equations we investigated synchronization of substances exchange between abstract cells and its sensitivity to fluctuations of environmental parameters using methods of nonlinear dynamics.