Volume 9 Supplement 1
Phase response curves determine network activity of all to all networks of pulse coupled oscillators
© Achuthan and Canavier; licensee BioMed Central Ltd. 2008
Published: 11 July 2008
Under the assumptions that the oscillator relaxes back to the limit cycle between perturbations and that the perturbations received in a circuit are similar to those used to generate the phase resetting curve (PRC), the PRC of the individual components of the circuit are used to predict clustering in all to all networks. Applications include central pattern generators for repetitive motor neuron behavior and the synchronization of assemblies of cortical neurons postulated to mediate cognitive functions.
The slope of the PRC at a phase of zero is the key determinant of synchronization properties, but surprisingly, a robust antiphase mode between two clusters can sometimes enforce synchronization within a cluster even if synchrony with a stand-alone cluster is not stable. Simulations with Wang and Buzsaki (WB) model neurons confirm that the PRCs contain all the information required to predict network activity in the parameter ranges studied.
This article is published under license to BioMed Central Ltd.