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

Gregor KovačičContact Information, Louis Tao2, 3 Contact Information, David CaiContact Information and Michael J. ShelleyContact Information

(1)  Rensselaer Polytechnic Institute, Troy, NY, USA
(2)  New Jersey Institute of Technology, Newark, NJ, USA
(3)  Present address: Center for Bioinformatics, School of Life Sciences, Peking University, Beijing, China
(4)  Courant Institute of Mathematical Sciences, New York University, New York, NY, USA

Received: 21 January 2007  Revised: 21 January 2008  Accepted: 19 February 2008  Published online: 8 April 2008

Action Editor: Jonathan D. Victor
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  Random walks - Mexican hat - Primary visual cortex - Orientation tuning dynamics


Contact Information Gregor Kovačič (Corresponding author)
Email: kovacg@rpi.edu

Contact Information Louis Tao
Email: tao@njit.edu

Contact Information David Cai
Email: cai@cims.nyu.edu

Contact Information Michael J. Shelley
Email: shelley@cims.nyu.edu
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