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Alternate coupling mechanism for dynamical quorum sensing.

Harpartap Singh1, P Parmananda

  • 1Department of Physics, Indian Institute of Technology, Bombay, Powai, Mumbai-400 076, India.

The Journal of Physical Chemistry. A
|October 2, 2012
PubMed
Summary
This summary is machine-generated.

We introduce a "dominating surrounding effect" coupling mechanism that triggers sudden dynamical quorum sensing transitions in coupled systems. This novel approach, demonstrated in electrochemical and neuronal models, is independent of coupling type and variable choice.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Systems Biology

Background:

  • Dynamical quorum sensing transitions involve abrupt changes in system dynamics at critical population sizes.
  • Existing local coupling schemes have not effectively demonstrated dynamical quorum sensing.
  • Global coupling schemes for quorum sensing exist but differ from the proposed mechanism.

Purpose of the Study:

  • To propose and investigate a novel coupling mechanism, the "dominating surrounding effect", for inducing dynamical quorum sensing transitions.
  • To implement and validate this mechanism in both globally and locally coupled systems.
  • To explore the emergence and extinction of global oscillations and synchronization patterns.

Main Methods:

  • Implementation of the "dominating surrounding effect" in globally (all-to-all) and locally (1-D array) coupled systems.
  • Testing the mechanism using a two-dimensional electrochemical model and a four-dimensional biological model (Hodgkin-Huxley neuronal model).
  • Analysis of instantaneous and delayed coupling scenarios for oscillators.

Main Results:

  • The "dominating surrounding effect" successfully induces dynamical quorum sensing transitions, independent of coupling type or variable choice.
  • A novel local coupling scenario for dynamical quorum sensing was demonstrated.
  • Neuronal ensembles exhibited zero lag or lag synchronization, while electrochemical oscillators showed phase synchronization.

Conclusions:

  • The "dominating surrounding effect" provides a new mechanism for understanding and inducing dynamical quorum sensing transitions.
  • This mechanism is robust across different coupling schemes and model systems.
  • The study contributes novel insights into synchronization phenomena in coupled oscillator systems.