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9780521305662: An Introduction to the Mathematics of Neurons

Synopsis

Neurons, or nerve cells, are basic timers in our bodies; they also play a central role in storing and processing information in our brains. This book introduces neuron physiology and some mathematical methods that can help us to understand how neurons work. The author's aim is to uncover frequency-response properties of neurons and to show that neural networks can support stable patterns of synchronized firing. He does this using a novel electrical circuit model of a neuron, called VCON, which shares many features with the Hodgkin-Huxley model, though it is much simpler to study. This makes the book suitable for advanced undergraduate or new graduate students studying mathematical biology. Indeed the book grew from such a course taught at the University of Utah. The only prerequisites are basic calculus, differential equations and matrix algebra. Problems (some with solutions) are provided at the end of each chapter; they range from simple illustrative exercises to more challenging extensions of the text. Some projects, often involving microcomputers, are also suggested.

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Présentation de l'éditeur

Neurons, or nerve cells, are basic timers in our bodies; they also play a central role in storing and processing information in our brains. This book introduces neuron physiology and some mathematical methods that can help us to understand how neurons work. The author's aim is to uncover frequency-response properties of neurons and to show that neural networks can support stable patterns of synchronized firing. He does this using a novel electrical circuit model of a neuron, called VCON, which shares many features with the Hodgkin-Huxley model, though it is much simpler to study. This makes the book suitable for advanced undergraduate or new graduate students studying mathematical biology. Indeed the book grew from such a course taught at the University of Utah. The only prerequisites are basic calculus, differential equations and matrix algebra. Problems (some with solutions) are provided at the end of each chapter; they range from simple illustrative exercises to more challenging extensions of the text. Some projects, often involving microcomputers, are also suggested.

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9780521315746: An Introduction to the Mathematics of Neurons

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ISBN 10 :  0521315743 ISBN 13 :  9780521315746
Editeur : Cambridge University Press, 1986
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Hoppensteadt
Edité par Cambridge University Press, 1986
ISBN 10 : 0521305667 ISBN 13 : 9780521305662
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Hoppensteadt, F. C.
ISBN 10 : 0521305667 ISBN 13 : 9780521305662
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