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• W2335595940 abstract "Event Abstract Back to Event Map dynamics of rhythmically perturbed neurons Jan Engelbrecht1*, Kristen Loncich2, Renato Mirollo2, Michael Hasselmo3 and Motoharu Yoshida3 1 Boston College, Department of Physics and Biocenter Oulu,, United States 2 Boston College, United States 3 Boston University, United States We explore patterns in the spiking of neurons receiving small perturbing rhythms with an emphasis on universal characteristics realized in both models and in vitro whole-cell recordings. Our starting point is a single-compartment model that fires periodically when stimulated with a constant current. Upon introducing a small perturbing current the dynamics of the voltage and gating variables rapidly collapse onto a 2-dimensional subspace in which the neuron’s state subsequently evolves much more slowly and where successive spike times are related by a 1-dimensional map t n+1 = F(t n). Iterating the map yields the dynamical evolution of the spike phase (with respect to the rhythm). We then add noise to the model, and show that the spike phase evolution is characterized by a probability distribution relating consecutive phases P(phi n+1,phi n) whose features follow from the underlying return map. We contrast the ISI and phase distributions with P(phi n+1,phi n). Noise in the stimulus current can knock the model neuron out of entrainment, leading to a repeating cascade of spike phases as the neuron relaxes back to a periodic state. We then report on whole-cell recordings of pyramidal cells in region CA1 of rat hippocampal slices where we first inject a constant current to induce a steady firing rate and then add an additional sinewave oscillation to perturb the spike times. We show that successive phases again evolve according to a map - strikingly similar to the model data. For appropriate currents the cell gets repeatedly knocked out of entrainment and subsequently relaxes back to entrainment through a reliable pattern of phase advances. This work demonstrates that the notion of a perturbing rhythm introducing slow dynamics characterized by a 1-dimensional return map generalizes from a single-compartment model to CA1 pyramidal cell slice recordings. Moreover, when noise frustrates entrainment, the phase dynamics can be characterized as a reproducible cascade of phase advances. Conference: Computational and Systems Neuroscience 2010, Salt Lake City, UT, United States, 25 Feb - 2 Mar, 2010. Presentation Type: Poster Presentation Topic: Poster session III Citation: Engelbrecht J, Loncich K, Mirollo R, Hasselmo M and Yoshida M (2010). Map dynamics of rhythmically perturbed neurons. Front. Neurosci. Conference Abstract: Computational and Systems Neuroscience 2010. doi: 10.3389/conf.fnins.2010.03.00117 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: 01 Mar 2010; Published Online: 01 Mar 2010. * Correspondence: Jan Engelbrecht, Boston College, Department of Physics and Biocenter Oulu,, Boston, United States, jan@bc.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 Jan Engelbrecht Kristen Loncich Renato Mirollo Michael Hasselmo Motoharu Yoshida Google Jan Engelbrecht Kristen Loncich Renato Mirollo Michael Hasselmo Motoharu Yoshida Google Scholar Jan Engelbrecht Kristen Loncich Renato Mirollo Michael Hasselmo Motoharu Yoshida PubMed Jan Engelbrecht Kristen Loncich Renato Mirollo Michael Hasselmo Motoharu Yoshida 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." @default.
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• W2335595940 date "2010-01-01" @default.
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• W2335595940 title "Map dynamics of rhythmically perturbed neurons" @default.
• W2335595940 doi "https://doi.org/10.3389/conf.fnins.2010.03.00117" @default.
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