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  3. Introduction to Theoretical Neurobiology
  • Cited by 243
      • Volume 1: Linear Cable Theory and Dendritic Structure
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      April 1988
      ISBN:
      9780511623271
      9780521350969
      9780521022224
      DOI:
      https://doi.org/10.1017/CBO9780511623271
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.61kg, 304 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.457kg, 304 Pages
      • Subjects:
      Life Sciences, Geometry and Topology, Applied Probability and Stochastic Networks, Statistics and Probability, Neurosciences
      Series:
      Cambridge Studies in Mathematical Biology (8)
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    • Selected: Digital
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    Subjects:
    Life Sciences, Geometry and Topology, Applied Probability and Stochastic Networks, Statistics and Probability, Neurosciences
    Series:
    Cambridge Studies in Mathematical Biology (8)
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    Book description

    The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive. Volume 1 contains descriptions and analyses of the principal mathematical models that have been developed for neurons in the past thirty years. It provides a brief review of the basic neuroanatomical and neurophysiological facts that will form the focus of the mathematical treatment. Tuckwell discusses the mathematical theories, beginning with the theory of membrane potentials. He then goes on to treat the Lapicque model, linear cable theory, and time-dependent solutions of the cable equations. He concludes with a description of Rall's model nerve cell. Because the level of mathematics increases steadily upward from Chapter Two, some familiarity with differential equations and linear algebra is desirable.

    Reviews

    "It will undoubtably prove to be very useful for experimentalists...Its application will clearly help experimentalists and modelers to better understand thte behavior of their research system...an up-to-date comprehensive effort that encompasses the major analytical approaches to neuronal modeling at the cellular level." --Physics Today

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