Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics

Gregor Kovačič; Louis Tao; David Cai; Michael J. Shelley

doi:10.1007/s10827-008-0085-7

Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics

Gregor Kovačič, Louis Tao, David Cai, Michael J. Shelley

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A theoretical analysis is presented of a reverse-time correlation method used in experimentally investigating orientation tuning dynamics of neurons in the primary visual cortex. An exact mathematical characterization of the method is developed, and its connection with the Volterra-Wiener nonlinear systems theory is described. Various mathematical consequences and possible physiological implications of this analysis are illustrated using exactly solvable idealized models of orientation tuning.

Original language	English (US)
Pages (from-to)	401-438
Number of pages	38
Journal	Journal of Computational Neuroscience
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s10827-008-0085-7
State	Published - 2008

Keywords

Mexican hat
Orientation tuning dynamics
Primary visual cortex
Random walks

ASJC Scopus subject areas

Sensory Systems
Cognitive Neuroscience
Cellular and Molecular Neuroscience

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10.1007/s10827-008-0085-7

Cite this

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title = "Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics",

abstract = "A theoretical analysis is presented of a reverse-time correlation method used in experimentally investigating orientation tuning dynamics of neurons in the primary visual cortex. An exact mathematical characterization of the method is developed, and its connection with the Volterra-Wiener nonlinear systems theory is described. Various mathematical consequences and possible physiological implications of this analysis are illustrated using exactly solvable idealized models of orientation tuning.",

keywords = "Mexican hat, Orientation tuning dynamics, Primary visual cortex, Random walks",

author = "Gregor Kova{\v c}i{\v c} and Louis Tao and David Cai and Shelley, {Michael J.}",

note = "Funding Information: Acknowledgements The authors would like to thank J. Biello, P. Kramer, D. McLaughlin, D. Nykamp, A. Rangan, R. Shapley, and E. Vanden Eijnden for helpful discussions. G.K. was supported by NSF grants IGMS-0308943 and DMS-0506287, and gratefully acknowledges the hospitality of the Courant Institute of Mathematical Sciences and Center for Neural Science during his visits at New York University in 2000/01 and 2003/04. L.T. was supported by the NSF grant DMS-0506257. D.C. and M.J.S. were partly supported by the NSF grant DMS-0506396.",

year = "2008",

doi = "10.1007/s10827-008-0085-7",

language = "English (US)",

volume = "25",

pages = "401--438",

journal = "Journal of Computational Neuroscience",

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AU - Kovačič, Gregor

AU - Tao, Louis

AU - Cai, David

AU - Shelley, Michael J.

N1 - Funding Information: Acknowledgements The authors would like to thank J. Biello, P. Kramer, D. McLaughlin, D. Nykamp, A. Rangan, R. Shapley, and E. Vanden Eijnden for helpful discussions. G.K. was supported by NSF grants IGMS-0308943 and DMS-0506287, and gratefully acknowledges the hospitality of the Courant Institute of Mathematical Sciences and Center for Neural Science during his visits at New York University in 2000/01 and 2003/04. L.T. was supported by the NSF grant DMS-0506257. D.C. and M.J.S. were partly supported by the NSF grant DMS-0506396.

PY - 2008

Y1 - 2008

N2 - A theoretical analysis is presented of a reverse-time correlation method used in experimentally investigating orientation tuning dynamics of neurons in the primary visual cortex. An exact mathematical characterization of the method is developed, and its connection with the Volterra-Wiener nonlinear systems theory is described. Various mathematical consequences and possible physiological implications of this analysis are illustrated using exactly solvable idealized models of orientation tuning.

AB - A theoretical analysis is presented of a reverse-time correlation method used in experimentally investigating orientation tuning dynamics of neurons in the primary visual cortex. An exact mathematical characterization of the method is developed, and its connection with the Volterra-Wiener nonlinear systems theory is described. Various mathematical consequences and possible physiological implications of this analysis are illustrated using exactly solvable idealized models of orientation tuning.

KW - Mexican hat

KW - Orientation tuning dynamics

KW - Primary visual cortex

KW - Random walks

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JO - Journal of Computational Neuroscience

JF - Journal of Computational Neuroscience

IS - 3

ER -

Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics

Abstract

Keywords

ASJC Scopus subject areas

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