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International Symposium on Neural Networks

ISNN 2011: Advances in Neural Networks – ISNN 2011 pp 287–296Cite as

Thermal Effects on Phase Response Curves and Synchronization Transition

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

Abstract

We study temperature modulated synchronization phenomena in the Morris-Lecar (ML) models with synaptic couplings. Little has been known about the thermal effects on synchronization in a real nervous system. Dynamical mechanisms on such synchronization are investigated by linear stability analysis with phase descriptions for the ML type, in order to understand the effects of temperature on the phase response curve (PRC). We find two types of PRC shape modulation induced by changes in temperature that depend on an injected current amplitude: (1) the PRC shape switch between the type-I and type-II, and (2) the almost unchanged appearance of a type-II PRC. A large variety of synchronization is demonstrated with these changes in the PRC shapes.

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References

  1. Moore, J.W.: Temperature and drug effects on squid axon membrane ion conductances. Fed. Proc. 17, 113 (1958)

    Google Scholar 

  2. Cao, X., Oertel, D.: Temperature affects voltage-sensitive conductances differentially in octopus cells of the mammalian cochlear nucleus. J. Neurophysiol. 94, 821–832 (2005)

    Article  Google Scholar 

  3. Carpenter, D.O.: Temperature effects on pacemaker generation, membrane potential, and critical firing threshold in Aplysia neurons. J. Gen. Physiol. 50(6), 1469–1484 (1967)

    Article  Google Scholar 

  4. Guttman, R.: Temperature dependence of oscillation in squid axons: comparison of experiments with computations. Biophys. J. 9(3), 269–277 (1969)

    Article  Google Scholar 

  5. Ishiko, N., Loewenstein, W.R.: Effects of Temperature on the Generator and Action Potentials of a Sense Organ. J. Gen. Physiol. 45(1), 105–124 (1961)

    Article  Google Scholar 

  6. Hodgkin, A.L., Huxley, A.F., Katz, B.: Measurement of current-voltage relations in the membrane of the giant axon of Loligo. J. Physiol. 116, 424–448 (1952)

    Article  Google Scholar 

  7. Wilson, H.R.: Spikes, Decisions, and Actions: The Dynamical Foundation of Neuroscience. Oxford University Press, New York (1999)

    MATH  Google Scholar 

  8. Rall, W.: Distinguishing theoretical synaptic potentials computed for different soma-dendritic distributions of synaptic input. J. Neurophysiol. 30, 1138–1168 (1967)

    Google Scholar 

  9. Kuramoto, Y.: Chemical Oscillations, Waves, and Turbulence. Springer, Berlin (1984)

    Book  MATH  Google Scholar 

  10. Mehrotra, A., Sangiovanni-Vincentelli, A.: Noise Analysis of Radio Frequency Circuits. Kluwer Academic Publishers, Dordrecht (2004)

    Book  MATH  Google Scholar 

  11. Sato, Y.D., Shiino, M.: Generalization of coupled spiking models and effects of the width of an action potential on synchronization phenomena. Phys. Rev. E 75, 011909 (2007)

    Article  MathSciNet  Google Scholar 

  12. Morris, C., Lecar, H.: Voltage oscillations in the barnacle giant muscle fiber. Biophys. J. 35(1), 193–213 (1981)

    Article  Google Scholar 

  13. Wechselberger, M., Wright, C.L., Bishop, G.A., Boulant, J.A.: Ionic channels and conductance based models for hypothalamic neuronal thermosensitivity. Am. J. Physiol. Regul. Integr. Comp. Physiol. 291(3), R518–R529 (2006)

    Article  Google Scholar 

  14. Ermentrout, B.: Type I membranes, phase resetting curves, and synchrony. Neural Comput. 8(5), 979–1001 (1996)

    Article  Google Scholar 

  15. Van Vreeswijk, C., Abbott, L.F., Ermentrout, G.B.: Inhibition, not excitation, synchronizes coupled neurons. J. Comput. Neurosci. 1, 303–313 (1994)

    Google Scholar 

  16. Van Vreeswijk, C.: Partially synchronized states in networks of pulse-coupled neurons. Phys. Rev. E 54, 5522–5537 (1996)

    Article  Google Scholar 

  17. Wang, X.-J., Buzsáki, G.: Gamma oscillations by synaptic inhibition in a hippocampal interneuronal network. J. Neurosci. 16(20), 6402–6413 (1996)

    Google Scholar 

  18. Sato, Y.D.: Synchronization Phenomena in a Pair of Coupled Neuronal Oscillator Systems. Doctoral Thesis, Tokyo Institute of Technology (2005)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Brain Science and Engineering, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu-ku, Kitakyushu, 808-0196, Japan

    Yasuomi D. Sato

  2. Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Ruth-Moufang-Str. 1, 60438, Frankfurt am Main, Germany

    Yasuomi D. Sato

  3. Department of Physics, Faculty of Science, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo, 152-8551, Japan

    Keiji Okumura, Akihisa Ichiki & Masatoshi Shiino

Authors
  1. Yasuomi D. Sato
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  2. Keiji Okumura
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  3. Akihisa Ichiki
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  4. Masatoshi Shiino
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Sato, Y.D., Okumura, K., Ichiki, A., Shiino, M. (2011). Thermal Effects on Phase Response Curves and Synchronization Transition. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_34

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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