Titlebook: Neuroscience; A Mathematical Prime Alwyn Scott Textbook 2002 Springer-Verlag New York 2002 cognitive science.information processing.informa

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equenced to allow those who need a quick overview of a particular topic immediate access to it. Additional valuable features include the practical applications used as examples, details on expe978-0-387-29185-7Series ISSN 2522-8692 Series E-ISSN 2522-8706

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Structure of a Neuron,trees; others are small plants. Some are vines, extending their influence over long distances; yet others are more like shrubs, dominating local regions. So it is with many sorts of nerve cells. In the presence of such variability, one wonders what can be said in general about the nature of a neuron

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Nerve Membranes,rm be related to the teeming confusion of a handful of soap suds gathered in the evening bath? Or to the regular hexagons of a honeycomb? Are there mathematical principles guiding the development of these structures? Is there a science of .? Might such a study help us to comprehend the development o

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Leading-Edge Models,es and on the other taking the simplest possible perspective. Having considered a rather complete description of a squid axon in Chapter 4, we now turn our attention to simpler models of a nerve fiber that focus attention on the . of an impulse.

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Myelinated Nerves,oth nerve fibers, as in the previous three chapters. Although this picture is appropriate for the squid axon, many vertebrate nerves-including the frog motor nerve studied by Galvani and axons of mammalian brains-are bundles of discrete, periodic structures, comprising active nodes (also called “nod

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