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Network: Computation in Neural Systems Volume 14, 2003 - Issue 2
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Original Article

Dynamics of neuronal populations: eigenfunction theory; some solvable cases

Lawrence Sirovich Laboratory of Applied Mathematics, Mount Sinai School of Medicine, Box 1012, 1 Gustave L Levy Place, New York, NY, 10029, USA
Pages 249-272 | Received 26 Sep 2002, Published online: 09 Jul 2009

Citations (12)

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Read on this site (2)

Felix Apfaltrer, Cheng Ly & Daniel Tranchina. (2006) Population density methods for stochastic neurons with realistic synaptic kinetics: Firing rate dynamics and fast computational methods. Network: Computation in Neural Systems 17:4, pages 373-418.
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Lawrence Sirovich, Ahmet Omurtag & Kip Lubliner. (2006) Dynamics of neural populations: Stability and synchrony. Network: Computation in Neural Systems 17:1, pages 3-29.
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Articles from other publishers (10)

Hugh Osborne, Lukas Deutz & Marc de Kamps. 2022. Computational Modelling of the Brain. Computational Modelling of the Brain 159 178 .
Santosh Kumar & Paramjeet Singh. (2019) High order WENO finite volume approximation for population density neuron model. Applied Mathematics and Computation 356, pages 173-189.
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Felix Droste & Benjamin Lindner. (2017) Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise. Journal of Computational Neuroscience 43:1, pages 81-91.
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A. C. Marreiros, D. A Pinotsis, P. Brown & K. J. Friston. 2015. Validating Neuro-Computational Models of Neurological and Psychiatric Disorders. Validating Neuro-Computational Models of Neurological and Psychiatric Disorders 43 70 .
Ramakrishnan Iyer, Vilas Menon, Michael Buice, Christof Koch & Stefan Mihalas. (2013) The Influence of Synaptic Weight Distribution on Neuronal Population Dynamics. PLoS Computational Biology 9:10, pages e1003248.
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Moritz Helias, Moritz Deger, Stefan Rotter & Markus Diesmann. (2010) Instantaneous Non-Linear Processing by Pulse-Coupled Threshold Units. PLoS Computational Biology 6:9, pages e1000929.
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R. E. Lee DeVille & Charles S. Peskin. (2008) Synchrony and Asynchrony in a Fully Stochastic Neural Network. Bulletin of Mathematical Biology 70:6, pages 1608-1633.
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L. Harrison, O. David & K. Friston. 2007. Statistical Parametric Mapping. Statistical Parametric Mapping 391 405 .
M. de Kamps. (2006) An analytic solution of the reentrant Poisson master equation and its application in the simulation of large groups of spiking neurons. An analytic solution of the reentrant Poisson master equation and its application in the simulation of large groups of spiking neurons.
L.M Harrison, O David & K.J Friston. (2005) Stochastic models of neuronal dynamics. Philosophical Transactions of the Royal Society B: Biological Sciences 360:1457, pages 1075-1091.
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