Journal of Computational Neuroscience

, Volume 25, Issue 3, pp 401–438

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

  • Gregor Kovačič
  • Louis Tao
  • David Cai
  • Michael J. Shelley
Article

DOI: 10.1007/s10827-008-0085-7

Cite this article as:
Kovačič, G., Tao, L., Cai, D. et al. J Comput Neurosci (2008) 25: 401. doi:10.1007/s10827-008-0085-7

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 walksMexican hatPrimary visual cortexOrientation tuning dynamics

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Gregor Kovačič
    • 1
  • Louis Tao
    • 2
    • 3
  • David Cai
    • 4
  • Michael J. Shelley
    • 4
  1. 1.Rensselaer Polytechnic InstituteTroyUSA
  2. 2.New Jersey Institute of TechnologyNewarkUSA
  3. 3.Center for Bioinformatics, School of Life SciencesPeking UniversityBeijingChina
  4. 4.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA