Synchrony in a Population of Hysteresis-Based Genetic Oscillators

@article{Kuznetsov2004SynchronyIA,
  title={Synchrony in a Population of Hysteresis-Based Genetic Oscillators},
  author={Alexey S. Kuznetsov and Mads K{\ae}rn and Nancy J Kopell},
  journal={SIAM Journal of Applied Mathematics},
  year={2004},
  volume={65},
  pages={392-425}
}
Oscillatory behavior has been found in different specialized genetic networks. Previous work has demonstrated nonsynchronous, erratic single-cell oscillations in a genetic network composed of nonspecialized regulatory components and based entirely on negative feedback. Here, we present the construction of a more robust, hysteresis-based genetic relaxation oscillator and provide a theoretical analysis of the conditions necessary for single-cell and population synchronized oscillations. The… CONTINUE READING
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