introduction to the mathematics of neurons modeling in the frequency domain by F. C. Hoppensteadt

Cover of: introduction to the mathematics of neurons | F. C. Hoppensteadt

Published by Cambridge University Press in Cambridge, U.K, New York, NY, USA .

Written in English

Read online


  • Neurons -- Mathematical models.,
  • Neural circuitry -- Mathematical models.

Edition Notes

Includes bibliographical references (p. 203-208) and index.

Book details

StatementFrank C. Hoppensteadt.
SeriesCambridge studies in mathematical biology ;, 6
LC ClassificationsQP363.3 .H67 1997
The Physical Object
Paginationxx, 211 p. :
Number of Pages211
ID Numbers
Open LibraryOL998082M
ISBN 100521590752, 0521599296
LC Control Number96036822

Download introduction to the mathematics of neurons

Hoppensteadt's book is an economical introductory book on how to apply mathematics on physiological research though. Chapter one, two, and four covers the background material for the rest of the book, such as useful electrical circuits, theory of Cited by:   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 Cited by: Chapter 1 Introduction: Neurons and Mathematics. The primary aim of this chapter is to introduce several elementary notions of neuroscience, in particular the concepts of action potentials, postsynaptic potentials, firing thresholds, refractoriness, and adaptation.

which are the main topic of the book, to be discussed in Parts II and III. An Introduction to the Mathematics of Neurons by Introduction to the mathematics of neurons book C. Hoppensteadt,available at Book Depository with free delivery worldwide.3/5(3).

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1 - Introduction: neurons and mathematics. Wulfram Gerstner, École Polytechnique Fédérale de Lausanne, Werner M. Kistler, Richard Naud, University of Ottawa, Liam Paninski, Columbia University, New York; which are the main topic of the book, to be discussed in Parts II and III.

Since the mathematics used for the simple model is. An Introduction to the Mathematics of Neurons 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. Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way.

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This collection is not offered in paperback form. Introduction to the mathematics of neurons book book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science.

An undergraduate introduction to differential equations is more than enough mathematical background. An Introduction to the Theory of Numbers. Contributor: Moser Publisher: The Trillia Group This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory.

An introduction to neural networks An introduction to neural networks Kevin Gurney 2 Real and artificial neurons Real neurons: a review Artificial neurons: the TLU been useful but is not considered essential and it is not one of the aims of this book to double as a mathematics primer.

Get this from a library. An introduction to the mathematics of neurons: modeling in the frequency domain. [F C Hoppensteadt] -- Signal processing aspects of neural networks are presented and studied in this book.

Background material in electronic circuits, mathematical modeling and analysis, signal processing, and. An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain by Frank C Hoppensteadt, C Cannings (Editor) starting at $ An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain has 2 available editions to buy at Half Price Books Marketplace.

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Book Reviews by Knowing Neurons. Neuroscience Textbooks. Neuroanatomy Books. Other Books about the Brain. About Us. Neurons Nerve cells are called neurons.

The human brain has about one billion neurons. Each neuron is a cell that uses biochemical reactions to receive, process, and transmit information. In simple terms, a neuron is a cell specialized to conduct and generate electrical impulses and to carry information from one part of the brain to another.

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This present document. pulses of neurons. Modeling neurons as electrical circuits is extremely important for the field of electrophysiology. In this talk we will talk about the benchmark neuron model which have been around for over sixty years and our recent effort to improve it.

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The material of the book can be covered in two semesters, but, for a one­. The human brain is primarily comprised of neurons, small cells that learn to fire electrical and chemical signals based on some are on the order of 1 0 11 10^{11} 1 0 1 1 neurons in the human brain, about 15 15 1 5 times the total number of people in the world.

Each neuron is, on average, connected to 1 0 0 0 0 other neurons, so that there are a total of 1 0 15 Madison College Textbook for College Mathematics Revised Fall of Edition.

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It has now been four decades since David Mumford wrote that algebraic ge. neurons that produced the vector aat the previous layer.

The number of rows in W matches the number of neurons at the current layer. The number of components in balso matches the number of neurons at the current layer. To emphasize the role of the ith neuron in (3), we could pick out the ith component as ˙ 0 @ X j w ija j + b i 1 A.

Neurons, on the other hand, serve as interconnected information processors that are essential for all of the tasks of the nervous system. This section briefly describes the structure and function of neurons. Neuron Structure. Neurons are the central building blocks of. 2 Introduction to neurons and the brain Perhaps the major reason that neuro science is such an exciting eld is the wealth of fundamental questions about the human brain (and the rest of the nervous system) that remain unanswered.

Such understanding entails unrav. Rather, the kind of book-length literature most likely to contain the cutting-edge algorithms, methods, theory, etc., are e.g., conference proceedings like Advances in Neural Networks.

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