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Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047508 (2011); http://dx.doi.org/10.1063/1.3670512 (10 pages)

Testing resonating vector strength: Auditory system, electric fish, and noise

J. Leo van Hemmen1, André Longtin2, and Andreas N. Vollmayr1

1Physik Department T35 & BCCN – Munich, Technische Universität München, 85747 Garching bei München, Germany
2Department of Physics, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada

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(Received 21 September 2011; accepted 29 November 2011; published online 29 December 2011)

Quite often a response to some input with a specific frequency ν○ can be described through a sequence of discrete events. Here, we study the synchrony vector, whose length stands for the vector strength, and in doing so focus on neuronal response in terms of spike times. The latter are supposed to be given by experiment. Instead of singling out the stimulus frequency ν○ we study the synchrony vector as a function of the real frequency variable ν. Its length turns out to be a resonating vector strength in that it shows clear maxima in the neighborhood of ν○ and multiples thereof, hence, allowing an easy way of determining response frequencies. We study this “resonating” vector strength for two concrete but rather different cases, viz., a specific midbrain neuron in the auditory system of cat and a primary detector neuron belonging to the electric sense of the wave-type electric fish Apteronotus leptorhynchus. We show that the resonating vector strength always performs a clear resonance correlated with the phase locking that it quantifies. We analyze the influence of noise and demonstrate how well the resonance associated with maximal vector strength indicates the dominant stimulus frequency. Furthermore, we exhibit how one can obtain a specific phase associated with, for instance, a delay in auditory analysis.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. VECTOR STRENGTH RESONATING IN A PERFECTLY PERIODIC RESPONSE
  3. RESONATING VECTOR STRENGTH IN THE PRESENCE OF “NOISE”
    1. Skipping: When phase locking drops out
    2. Imperfect phase locking
    3. Imperfect phase locking and neuronal skipping
  4. NOISE IN BROWN GHOST ELECTRORECEPTION
  5. DISCUSSION AND OUTLOOK

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KEYWORDS and PACS

Keywords

bioelectric phenomena, brain, cellular biophysics, neurophysiology, noise

PACS

  • 87.85.jc

    Electrical, thermal, and mechanical properties of biological matter

  • 87.17.-d

    Cell processes

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3670512

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    M. J. Chacron, A. Longtin, M. St-Hilaire, and L. Maler, Phys. Rev. Lett. 85, 1576 (2000).

    A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991).

    A. B. Neiman and D.F. Russell, Phys. Rev. Lett. 88, 138103 (2002).

    A. B. Sichert, R. Bamler, and J. L. van Hemmen, Phys. Rev. Lett. 102, 058104 (2009)

    A. Longtin and D. R. Chialvo, Phys. Rev. Lett. 81, 4012 (1998)

    S. Bahar, A. Neiman, L. A. Wilkens, and F. Moss, Phys. Rev. E 65, 050901(R) (2002).


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