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Global Bifurcation Analysis of a Pyramidal Cell Model of the Primary Visual Cortex: Towards a Construction of Physiologically Plausible Model

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Neural Information Processing (ICONIP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4984))

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Abstract

Many mathematical models of different neurons have been proposed so far, however, the way of modeling Ca2 +  regulation mechanisms has not been established yet. Therefore, we try to construct a physiologically plausible model which contains many regulating systems of the intracellular Ca2 + , such as Ca2 +  buffering, Na + /Ca2 +  exchanger and Ca2 +  pump current. In this paper, we seek the plausible values of parameters by analyzing the global bifurcation structure of our temporary model.

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Masumi Ishikawa Kenji Doya Hiroyuki Miyamoto Takeshi Yamakawa

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Ishiki, T., Tanaka, S., Osanai, M., Doi, S., Kumagai, S., Yagi, T. (2008). Global Bifurcation Analysis of a Pyramidal Cell Model of the Primary Visual Cortex: Towards a Construction of Physiologically Plausible Model. In: Ishikawa, M., Doya, K., Miyamoto, H., Yamakawa, T. (eds) Neural Information Processing. ICONIP 2007. Lecture Notes in Computer Science, vol 4984. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69158-7_2

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  • DOI: https://doi.org/10.1007/978-3-540-69158-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69154-9

  • Online ISBN: 978-3-540-69158-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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