A Complex-Valued Firing-Rate Model That Approximates the Dynamics of Spiking Networks

Evan S. Schaffer; Srdjan Ostojic; L. F. Abbott

doi:10.1371/journal.pcbi.1003301

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Open Access

Peer-reviewed

Research Article

A Complex-Valued Firing-Rate Model That Approximates the Dynamics of Spiking Networks

Evan S. Schaffer ,

* E-mail: ess2129@columbia.edu

Affiliation Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America
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Srdjan Ostojic,

Affiliations Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America, Group for Neural Theory, Laboratoire de Neurosciences Cognitives, INSERM U960, Ecole Normale Superieure, Paris, France
⨯
L. F. Abbott

Affiliation Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America
⨯

A Complex-Valued Firing-Rate Model That Approximates the Dynamics of Spiking Networks

Evan S. Schaffer,
Srdjan Ostojic,
L. F. Abbott

Published: October 31, 2013
https://doi.org/10.1371/journal.pcbi.1003301

About the Authors

Evan S. Schaffer

* E-mail: ess2129@columbia.edu

Affiliation Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America

Srdjan Ostojic

Affiliations Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America, Group for Neural Theory, Laboratoire de Neurosciences Cognitives, INSERM U960, Ecole Normale Superieure, Paris, France

L. F. Abbott

Affiliation Department of Neuroscience, Department of Physiology and Cellular Biophysics, Columbia University College of Physicians and Surgeons, New York, New York, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: ESS SO LFA. Performed the experiments: ESS SO. Analyzed the data: ESS SO. Contributed reagents/materials/analysis tools: ESS SO LFA. Wrote the paper: ESS SO LFA.

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Neurons
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Action potentials
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Neural networks
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Eigenvalues
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Population dynamics
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Membrane potential
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Approximation methods
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Behavior
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