Intrinsic and synaptic dynamics have separate effects on phase locking for weakly coupled oscillators

Field: Neuroscience (Life Sciences)

Event Abstract Back to Event Intrinsic and synaptic dynamics have separate effects on phase locking for weakly coupled oscillators Srisairam Achuthan1* and Carmen C. Canavier1, 2 1 Neuroscience Center of Excellence, United States 2 LSU Health Sciences Center, Department of Ophthalmology, United States A phase resetting curve (PRC) tabulates the change in the cycle period of a neural oscillator due to an arbitrary perturbation, and can be used to predict phase locking in networks of oscillators. For weak coupling, the PRC can be estimated by convolving the waveform of the perturbation with the infinitesimal PRC (iPRC). Two variants of this approach have been proposed in the literature in which one uses the iPRC computed with respect to small perturbations in current [1] and the other uses the iPRC computed with respect to small perturbations in conductance [2] for synaptic inputs where the reversal potential is a priori defined. Perturbing the synaptic current produces a single iPRC that can be utilized for any synaptic perturbation, regardless of the reversal potential. We find that perturbing the synaptic conductance rather than the synaptic current produces an iPRC that separates the intrinsic response to a particular type of perturbation from the dynamics of the perturbation. We will show that the iPRC with respect to conductance provides intuition regarding the effects of perturbations of varying duration, particularly if the slope at the locking point differs from that of the surrounding regions. On the other hand, the iPRC with respect to current provides a different type of insight into the PRC for neural oscillators near a saddle node bifurcation or a saddle node on an invariant circle bifurcation. In this case, the sign of the iPRC is mostly determined by the slope of the membrane potential waveform. The PRCs for this type of oscillator can consist of both advances and delays if the repolarizing phase of the action potential occupies a significant fraction of their cycle length. Thus while the use of the two types of iPRC is formally equivalent, they provide different types of insight into synchronization. References 1. Netoff et al., J. Comput. Neurosci., 2005, 18, 287-295.2. Preyer and Butera, Phys. Rev. Lett., 2005, 95, 138103. Conference: 2010 South East Nerve Net (SENN) and Georgia/South Carolina Neuroscience Consortium (GASCNC) conferences, Atlanta , United States, 5 Mar - 7 Mar, 2010. Presentation Type: Oral Presentation Topic: Talks Citation: Achuthan S and Canavier CC (2010). Intrinsic and synaptic dynamics have separate effects on phase locking for weakly coupled oscillators. Front. Neurosci. Conference Abstract: 2010 South East Nerve Net (SENN) and Georgia/South Carolina Neuroscience Consortium (GASCNC) conferences. doi: 10.3389/conf.fnins.2010.04.00001 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 12 Mar 2010; Published Online: 12 Mar 2010. * Correspondence: Srisairam Achuthan, Neuroscience Center of Excellence, New Orleans, United States, sachut@lsuhsc.edu Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Srisairam Achuthan Carmen C Canavier Google Srisairam Achuthan Carmen C Canavier Google Scholar Srisairam Achuthan Carmen C Canavier PubMed Srisairam Achuthan Carmen C Canavier Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.