Overview
- Step-by-step modelling of a complex physiological process
- Combination of physical, mathematical and physiological descriptions
- Modelling illustrated by numerical simulation with explanations of a code for users
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Table of contents (10 chapters)
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Front Matter
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Complexity and Waves
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Front Matter
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Dynamical Processes in Nerve Axons
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Front Matter
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Modelling of Dynamical Physiological Processes
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Front Matter
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Back Matter
Keywords
About this book
This book describes fundamental physical principles, together with their mathematical formulations, for modelling the propagation of signals in nerve fibres. Above all, it focuses on the complex electro-mechano-thermal process that produces an ensemble of waves composed of several components, besides the action potential. These components include mechanical waves in the biomembrane and axoplasm, together with the temperature change. Pursuing a step-by-step approach, the content moves from physics and mathematics, to describing the physiological effects, and finally to modelling the coupling effects. The assumptions and hypotheses used for modelling, as well as selected helpful concepts from continuum mechanics, are systematically explained, and the modelling is illustrated using the outcomes of numerical simulation. The book is chiefly intended for researchers and graduate students, providing them with a detailed description of how to model the complex physiological processes in nerve fibres.
Authors and Affiliations
About the authors
Kert Tamm is a researcher at the Tallinn Technical University, previously at CENS. His research interests include wave mechanics in microstructured solids, computational mechanics and biophysics.
Tanel Peets is a researcher at Tallinn University of Technology, previously at CENS. His main research interests lie in wave mechanics, mathematical modelling and biophysics.Bibliographic Information
Book Title: Modelling of Complex Signals in Nerves
Authors: Jüri Engelbrecht, Kert Tamm, Tanel Peets
DOI: https://doi.org/10.1007/978-3-030-75039-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-75038-1Published: 12 May 2021
Softcover ISBN: 978-3-030-75041-1Published: 13 May 2022
eBook ISBN: 978-3-030-75039-8Published: 11 May 2021
Edition Number: 1
Number of Pages: XIII, 186
Number of Illustrations: 66 b/w illustrations
Topics: Mathematical and Computational Biology, Neurosciences, Biological and Medical Physics, Biophysics, Bioinformatics, Complex Systems