Last edited by Dozahn
Friday, July 17, 2020 | History

8 edition of Mathematical aspects of Hodgkin-Huxley neural theory found in the catalog.

Mathematical aspects of Hodgkin-Huxley neural theory

by Jane Cronin

  • 316 Want to read
  • 40 Currently reading

Published by Cambridge University Press in Cambridge [Cambridgeshire], New York .
Written in English

    Subjects:
  • Neural conduction -- Mathematical models.,
  • Purkinje cells -- Mathematical models.,
  • Electrophysiology -- Mathematical models.

  • Edition Notes

    Bibliography: p. [253]-258.

    StatementJane Cronin.
    SeriesCambridge studies in mathematical biology ;, 7
    Classifications
    LC ClassificationsQP363 .C76 1987
    The Physical Object
    Paginationxi, 261 p. :
    Number of Pages261
    ID Numbers
    Open LibraryOL2380646M
    ISBN 100521334829
    LC Control Number87009241

    (). Mathematical aspects of Hodgkin-Huxley neural theory. (). Mechanisms for temporal tuning and filtering by postsynaptic signaling pathways. (). Membrane time constant of motoneurons. (). Methods in neuronal modeling: from synapses to networks. ().Author: Erik De Schutter. It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and non-space-clamped cases. The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike by:

    Cronin, Jane. Mathematical aspects of Hodgkin-Huxley neural theory. New York: Cambridge University Press, A more comprehensive approach to mathematical modeling of neural theory using the HH model. Doidge, Norman. The Brain That Changes Itself: Stories of Personal Triumph from the Frontiers of Brain Science. London: Penguin Books, Mathematical Aspects of Hodgkin–Huxley Neural Theory. Article. Jan ; Mathematical theory 6. Mathematical analysis of physiological models Appendix References. This book .

    MATHEMATICAL ASPECTS OF HODGKIN-HUXLEY NEURAL THEORY JANE C RON IN Professor of Mathematics, Rutgers University Mathematical aspects of Hodgkin-Huxley neural theory The right of the University of Cambridge to print and sell all manner of books was granted by Henry VIII in The University has printed and published continuously since mation content of neural signals by modeling the nervous system at many different structural scales, including the biophysical, the circuit, and the systems levels. Computer simulations of neurons and neural networks are complementary to traditional techniques in neuroscience. This book .


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Mathematical aspects of Hodgkin-Huxley neural theory by Jane Cronin Download PDF EPUB FB2

Mathematical aspects of Hodgkin-Huxley neural theory Jane Cronin Professor Cronin offers, for the first time, a synthesis of the work of Hodgkin and Huxley on nerve conduction.

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the Cited by: Mathematical Aspects of Hodgkin-Huxley Neural Theory by Jane Cronin,available at Book Depository with free delivery worldwide.

Find helpful customer reviews and review ratings for Mathematical Aspects of Hodgkin-Huxley Neural Theory (Cambridge Studies in Mathematical Biology) at Read honest and unbiased product reviews from our users.5/5.

Synopsis of Mathematical Aspects of Hodgkin-Huxley Neural Theory. This book is an introduction to the study of mathematical models of electrically active cells. Mathematical aspects of Hodgkin-Huxley neural theory.

[Jane Cronin] This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions.

other mathematical models -- 4. Models of other electrically excitable cells -- 5. The University of Chicago Press. Books Division. Chicago Distribution Center. Professor Cronin offers, for the first time, a synthesis of the work of Hodgkin and Huxley on nerve conduction.

This information has previously been scattered throughout various media and difficult to retrieve. In this book the author thoroughly describes Price: $ Mathematical Aspects of Hodgkin-Huxley Neural Theory By Steven Finkbeiner Get PDF (0 MB)Author: Steven Finkbeiner.

This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology.

It provides new motivations for studying extension theorems and existence theorems, supplies real-world examples, gives an early introduction to the use of geometric methods and.

It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and non-space-clamped cases.

The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike trains. select article Mathematical aspects of Hodgkin-Huxley neural theory, Jane Cronin (Ed.). Cambridge University Press, Cambridge, U.K.

(),U.S.$ (cloth). Mathematical Aspects of Hodgkin-Huxley Neural Theory By: Jane Cronin. Cambridge University Press, 1st edition, Aug (Manufactured on demand as of ). Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is a branch of neuroscience which employs mathematical models, theoretical analysis and abstractions of the brain to understand the principles that govern the development, structure, physiology and cognitive abilities of the nervous system.

In theory, computational. Cronin J () Mathematical aspects of Hodgkin–Huxley neural theory. Cambridge University Press, Cambridge zbMATH CrossRef Google Scholar DiFrancesco D, Noble D () A model of cardiac electrical activity incorporating ionic pumps and concentration : Shinji Doi, Junko Inoue, Zhenxing Pan.

This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then proceeds to applications.3/5(3).

Read the latest articles of Journal of Electroanalytical Chemistry and Interfacial Electrochemistry atElsevier’s leading platform of peer-reviewed scholarly literature select article Mathematical Aspects of Hodgkin—Huxley Neural Theory.: J.

Cronin. Cambridge University Press, Cambridge,ISBNxi. 7 Jane Cronin, Mathematical Aspects of Hodgkin-Huxley neural theory 8 Henry C. Tuckwell, Introduction to theoretical neurobiology Volume 1, Linear cable theory and dendritic structures Volume 2, Non-linear and stochastic theories 9 N.

MacDonald, Biological delay systems 10 Anthony G. Plakes and R. Miller, Mathematical ecology of plant. Author(s): Cronin,Jane, Title(s): Mathematical aspects of Hodgkin-Huxley neural theory/ Jane Cronin. Country of Publication: England Publisher: Cambridge [Cambridgeshire] ; New York: Cambridge University Press, 5.

Mathematical theory Mathematical analysis of physiological models-- Appendix-- References. (source: Nielsen Book Data) This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions.

Origins of Systems Biology. Traditionally it is assumed that systems biology originated in the late nineties. This neglects the fact that Mihajlo D. Mesarović, Ludwig von Bertalanffy, and their colleagues already proposed applying general systems theory to biology in the sixties, though with limited important was the ground-laying work performed by several Cited by: Bifurcation Analysis of a Two-Dimensional Simplified Hodgkin-Huxley Model Exposed to External Electric Fields Mathematical aspects of Hodgkin-Huxley neural theory.

Cambridge Wang H., Yu Y., Wang S., Yu J. () Bifurcation Analysis of a Two-Dimensional Simplified Hodgkin-Huxley Model Exposed to External Electric Fields.

In: Huang T Author: Hu Wang, Yongguang Yu, Sha Wang, Junzhi Yu.In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical model.

More exactly, by using an external current as a control expressed by a relay graph in the equation of the potential, we aim at forcing it to reach a certain manifold in finite time and to slide on it Cited by: 2.