Seminars of the Focus Area Complex Systems

Prof. Dr. C. Beta, Prof. Dr. K. Dethloff, Prof. Dr. R. Engbert, Prof. Dr. M. Holschneider, Prof. Dr. W. Huisinga, Prof. Dr. Ralf Metzler, Prof. Dr. A. Pikovsky, Prof. Dr. S. Reich, Prof. Dr. M. Rosenblum, Prof. Dr. G. Rüdiger, Prof. Dr. T. Scheffer, Prof. Dr. F. Scherbaum, Prof. Dr. J. Selbig, Prof. Dr. F. Spahn

Seminar

Speaker: Peter J. Thomas, Case Western Reserve University, Cleveland, Ohio; Visiting Scholar at the Bernstein Center for Computational Neuroscience and Institut für Physik, Humboldt Universität zu Berlin

Title: On the Asymptotic Phase of Stochastic Oscillators * Oberseminar Nichtlineare Dynamik

Time: Mon, Nov 25, 2013, 2:15pm

Place: bldg 28, room 2.123

Abstract:
The synchronization, entainment, and information processing properties of spontaneously firing nerve cells may be understood in terms of the infinitesimal phase response curve (iPRC) of neural oscillator models. The iPRC quantifies the shift in the timing of an oscillation in response to a small, brief input; for deterministic dynamical models the iPRC is defined in terms of the oscillator's asymptotic phase function. For stochastic dynamical models, the usual definition of the iPRC breaks down, because in the presence of even small amounts of noise, the 'asymptotic phase' is no longer well defined. I will discuss two alternative approaches to redefining the 'asymptotic phase' of an oscillator, in a way that is consistent across both the stochastic and deterministic settings.

As examples, I will consider three increasingly realistic classes of models: (1) integrate-and-fire neurons with additive white noise, (2) Gaussian stochastic differential equation models derived from conductance-based systems of ordinary differential equations, and (3) hybrid jump Markov process models, in which random ion channel gating is represented as a discrete time-inhomogeneous Markov process, and the voltage dynamics are conditionally deterministic.

Time permitting, I will go on to explore the interpretation of 'phase resetting' in the stochastic context, and discuss connections with experimentally measured phase response distributions.

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Past NLD Seminars (1994-2007) & (2008 ...)

Students' seminar: Theoretical Physics, PIK, Modeling & TSA Berlin-Potsdam-Colloquia: PhysGesellschaft Berlin, TU Berlin, Pro Physik, AIP, AEI, MPI-KGF, GFZ, HMI, PIK, AWI, Max Planck Institute for the History of Science, Mathematik, DPG Disputationen, & Vorschau UP

Udo Schwarz, Zentrum für Dynamik komplexer Systeme,
Universität Potsdam, Campus Golm Karl-Liebknecht-Str. 24, 14476 Potsdam, building 28, room 2.107
Phone: (+49-331) 977-1658, Fax : (+49-331) 977-1045

Email: Udo.Schwarz AT uni-potsdam.de

DFG SFB 1294

DFG Sonderforschungsbereich 1294 Data assimilation

DFG SPP 1488

DFG Schwerpunktprogramm 1488 Planetmag


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