Type-II phase resetting curve is optimal for stochastic synchrony
نویسندگان
چکیده
منابع مشابه
Type-II phase resetting curve is optimal for stochastic synchrony.
The phase-resetting curve (PRC) describes the response of a neural oscillator to small perturbations in membrane potential. Its usefulness for predicting the dynamics of weakly coupled deterministic networks has been well characterized. However, the inputs to real neurons may often be more accurately described as barrages of synaptic noise. Effective connectivity between cells may thus arise in...
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STOCHASTIC SYNCHRONY AND PHASE RESETTING CURVES: THEORY AND APPLICATIONS Sashi K. Marella, PhD University of Pittsburgh, 2012 We investigate the relationship between the shape of the phase-resetting curve (PRC) and the degree of stochastic synchronization observed between a pair of uncoupled general oscillators receiving partially correlated Poisson inputs. Using perturbation methods, we derive...
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Type I membrane oscillators such as the Connor model (Connor et al. 1977) and the Morris-Lecar model (Morris and Lecar 1981) admit very low frequency oscillations near the critical applied current. Hansel et al. (1995) have numerically shown that synchrony is difficult to achieve with these models and that the phase resetting curve is strictly positive. We use singular perturbation methods and ...
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Giri P. Krishnan,1, 2 Maxim Bazhenov,1 and Arkady Pikovsky2 1Department of Cell Biology and Neuroscience, University of California, Riverside CA, USA 2Department of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany (Dated: May 7, 2014) Abstract In this paper, we introduce and systematically study, in terms of phase response curves (PRC), the effect of a dual pulse excitation ...
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We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r*. Resetting ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.80.011911