Journal of Computational Neuroscience

, Volume 25, Issue 3, pp 401-438

First online:

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

  • Gregor KovačičAffiliated withRensselaer Polytechnic Institute Email author 
  • , Louis TaoAffiliated withNew Jersey Institute of TechnologyCenter for Bioinformatics, School of Life Sciences, Peking University
  • , David CaiAffiliated withCourant Institute of Mathematical Sciences, New York University
  • , Michael J. ShelleyAffiliated withCourant Institute of Mathematical Sciences, New York University

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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.


Random walks Mexican hat Primary visual cortex Orientation tuning dynamics