Generalized Wilson-Cowan rate equations for correlated activity in neural networks.
نویسندگان
چکیده
منابع مشابه
Wilson–Cowan Equations for Neocortical Dynamics
In 1972-1973 Wilson and Cowan introduced a mathematical model of the population dynamics of synaptically coupled excitatory and inhibitory neurons in the neocortex. The model dealt only with the mean numbers of activated and quiescent excitatory and inhibitory neurons, and said nothing about fluctuations and correlations of such activity. However, in 1997 Ohira and Cowan, and then in 2007-2009 ...
متن کاملWilson-Cowan Model
The Wilson-Cowan model describes the evolution of excitatory and inhibitory activity in a synaptically coupled neuronal network. As opposed to being a detailed biophysical model, the system is a coarse-grained description of the overall activity of a large-scale neuronal network, employing just two differential equations. Key parameters in the model are the strength of connectivity between each...
متن کاملOn Synchronization and Control of Coupled Wilson-cowan Neural oscillators
This paper investigates the complex dynamics, synchronization and control of chaos in a system of strongly connected Wilson–Cowan neural oscillators. Some typical synchronized periodic solutions are analyzed by using the Poincaré mapping method, for which bifurcation diagrams are obtained. It is shown that topological change of the synchronization mode is mainly caused and carried out by the Ne...
متن کاملGeneralized activity equations for spiking neural network dynamics
Much progress has been made in uncovering the computational capabilities of spiking neural networks. However, spiking neurons will always be more expensive to simulate compared to rate neurons because of the inherent disparity in time scales-the spike duration time is much shorter than the inter-spike time, which is much shorter than any learning time scale. In numerical analysis, this is a cla...
متن کاملSynchrony and Desynchrony in Networks of Locally Coupled Wilson-cowan Oscillators
In this Chapter, we study networks of locally coupled Wilson-Cowan (W-C) oscilla-tors [Wilson and Cowan, 1972]. The W-C oscillator is a two variable system of ordinary differential equations and represents an interacting population of excitatory and inhibitory neurons. The amplitudes of the variables symbolize the proportion of each population of neurons that is active. We study these equations...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Frontiers in Systems Neuroscience
سال: 2009
ISSN: 1662-5137
DOI: 10.3389/conf.neuro.06.2009.03.078