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Dynamical Quorum Sensing and Synchronization in Large Populations of Chemical Oscillators
Annette F. Taylor,1
Mark R. Tinsley,2
Fang Wang,2
Zhaoyang Huang,2
Kenneth Showalter2*
Abstract:
Populations of certain unicellular organisms, such as suspensionsof yeast in nutrient solutions, undergo transitions to coordinatedactivity with increasing cell density. The collective behavioris believed to arise through communication by chemical signalingvia the extracellular solution. We studied large, heterogeneouspopulations of discrete chemical oscillators (100,000) withwell-defined kinetics to characterize two different types ofdensity-dependent transitions to synchronized oscillatory behavior.For different chemical exchange rates between the oscillatorsand the surrounding solution, increasing oscillator densityled to (i) the gradual synchronization of oscillatory activity,or (ii) the sudden "switching on" of synchronized oscillatoryactivity. We analyze the roles of oscillator density and exchangerate of signaling species in these transitions with a mathematicalmodel of the interacting chemical oscillators.
1 School of Chemistry, University of Leeds, Leeds LS2 9JT, UK. 2 C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, WV 26506, USA.
* To whom correspondence should be addressed. E-mail: kshowalt{at}wvu.edu
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