کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895863 | 1044396 | 2012 | 7 صفحه PDF | دانلود رایگان |

Many biological and physical systems exhibit population-density-dependent transitions to synchronized oscillations in a process often termed “dynamical quorum sensing”. Synchronization frequently arises through chemical communication via signaling molecules distributed through an external medium. We study a simple theoretical model for dynamical quorum sensing: a heterogenous population of limit-cycle oscillators diffusively coupled through a common medium. We show that this model exhibits a rich phase diagram with four qualitatively distinct physical mechanisms that can lead to a loss of coherent population-level oscillations, including a novel mechanism arising from effective time-delays introduced by the external medium. We derive a single pair of analytic equations that allow us to calculate phase boundaries as a function of population density and show that the model reproduces many of the qualitative features of recent experiments on Belousov–Zhabotinsky catalytic particles as well as synthetically engineered bacteria.
► A simple model of dynamical quorum sensing (DQS) is introduced.
► We find four distinct physical mechanisms that give rise to DQS transitions.
► Our model reproduces the qualitative features of recent experiments.
Journal: Physica D: Nonlinear Phenomena - Volume 241, Issue 21, 1 November 2012, Pages 1782–1788