Measurement of infinitesimal phase response curves from noisy real neurons

Keisuke Ota, Toshiaki Omori, Shigeo Watanabe, Hiroyoshi Miyakawa, Masato Okada, and Toru Aonishi
Phys. Rev. E 84, 041902 – Published 3 October 2011

Abstract

We sought to measure infinitesimal phase response curves (iPRCs) from rat hippocampal CA1 pyramidal neurons. It is difficult to measure iPRCs from noisy neurons because of the dilemma that either the linearity or the signal-to-noise ratio of responses to external perturbations must be sacrificed. To overcome this difficulty, we used an iPRC measurement model formulated as the Langevin phase equation (LPE) to extract iPRCs in the Bayesian scheme. We then simultaneously verified the effectiveness of the measurement model and the reliability of the estimated iPRCs by demonstrating that LPEs with the estimated iPRCs could predict the stochastic behaviors of the same neurons, whose iPRCs had been measured, when they were perturbed by periodic stimulus currents. Our results suggest that the LPE is an effective model for real oscillating neurons and that many theoretical frameworks based on it may be applicable to real nerve systems.

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  • Received 2 January 2011

DOI:https://doi.org/10.1103/PhysRevE.84.041902

©2011 American Physical Society

Authors & Affiliations

Keisuke Ota1, Toshiaki Omori1,2, Shigeo Watanabe3, Hiroyoshi Miyakawa3, Masato Okada1,2, and Toru Aonishi4,*

  • 1Brain Science Institute, RIKEN, Saitama 351-0198, Japan
  • 2Department of Complexity Science and Engineering, The University of Tokyo, Chiba 277-8561, Japan
  • 3School of Life Sciences, Tokyo University of Pharmacy and Life Sciences, Tokyo 192-0392, Japan
  • 4Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Kanagawa 226-8502, Japan

  • *aonishi@dis.titech.ac.jp

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Vol. 84, Iss. 4 — October 2011

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