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Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics
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Theoretical analysis of reverse-time correlation for idealized orientation tuning dynamics
Gregor Kovačič1 , Louis Tao2, 3 , David Cai4 and Michael J. Shelley4 
| (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
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