Stability of synchronization in a multi-cellular system
Department of Mathematics, Indian Institute of Science - Bangalore, India
2 Centre for Cellular and Molecular Biology (CSIR) - Hyderabad, India
Accepted: 8 November 2010
Networks of biochemical reactions regulated by positive- and negative-feedback processes underlie functional dynamics in single cells. Synchronization of dynamics in the constituent cells is a hallmark of collective behavior in multi-cellular biological systems. Stability of the synchronized state is required for robust functioning of the multi-cell system in the face of noise and perturbation. Yet, the ability to respond to signals and change functional dynamics are also important features during development, disease, and evolution in living systems. In this paper, using a coupled multi-cell system model, we investigate the role of system size, coupling strength and its topology on the synchronization of the collective dynamics and its stability. Even though different coupling topologies lead to synchronization of collective dynamics, diffusive coupling through the end product of the pathway does not confer stability to the synchronized state. The results are discussed with a view to their prevalence in biological systems.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 87.10.Ed – Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models / 87.18.Gh – Cell-cell communication; collective behavior of motile cells
© EPLA, 2010