BioControl:Week17

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Next meeting Thursday, 4/26 at 9am in the Steele library. Topics Synchronization of coupled oscillators Reading Strogatz, 'From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators'. Physica D: Nonlinear Phenomena, Volume 143, Issue 1-4, p. 1-20.http://adsabs.harvard.edu/abs/2000PhyD..143....1S Garcia-Ojalvo J, Elowitz MB, and Strogatz SH. Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. Proc Natl Acad Sci U S A. 2004 Jul 27;101(30):10955-60. DOI:10.1073/pnas.0307095101 | Related Articles Discussion the first paper is history of a theoretical model of coupled oscillators called the Kuramoto model, which demonstrates threshold phase-locking of individual oscillators to the average population phase. the first 6 or so sections are a good introduction so I would recommend reading them. Later sections give further analysis but it gets more complicated and i don't think it's as important for our interests. we probably won't focus much on this for the meeting. the second paper analyzes a theoretical circuit for synchronizing populations of repressilators, demonstrating a phase transition similar to that seen in the Kuramoto model