Synchrony in Gene Regulatory Networks

TL;DR

This paper investigates synchronization phenomena in gene regulatory networks using mathematical models, applying coupled cell network theory, and explores network quotient and lifting concepts related to gene duplication and redundancy.

Contribution

It introduces a framework for analyzing robust synchronization in GRNs and connects network quotient and lifting concepts to biological processes like gene duplication.

Findings

Established conditions for synchronization in GRN models

Linked quotient networks to gene duplication processes

Provided insights into genetic redundancy mechanisms

Abstract

We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theoretical results in the coupled cell network formalism. We also explore the concepts of quotient networks and network lifting in the context of GRNs which are related to the process of gene duplication and the phenomenon of genetic redundancy.