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Hardcover - 9789812878786
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Beschreibung
This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter is derived from first principles by going back to cellular biology and the relevant biophysics. A detailed discussion of ion movement through cellular membranes, and an explanation of how the equations that govern such ion movement leading to the standard transient cable equation are included. There are also solutions for the cable model using separation of variables, as well an explanation of why Fourier series converge and a description of the implementation of MatLab tools to compute the solutions. Finally, the standard Hodgkin - Huxley model is developed for an excitable neuron and is solved using MatLab.
Partial Differential Equation Models
Partial Differential Equation Models
Details
| Verlag | Springer Singapore |
| Ersterscheinung | 09. Dezember 2018 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 850 Gramm |
| Format | Softcover |
| ISBN-13 | 9789811357213 |
| Auflage | Softcover reprint of the original 1st ed. 2016 |
| Seiten | 534 |
Schlagwörter
Artificial Intelligence, Bildverarbeitung, Computational Intelligence, Computer Imaging - Vision - Pattern Recognition and Graphics, Künstliche Intelligenz, Mathematical Models of Cognitive Processes and Neural Networks, Mathematische Modellierung, Mathematische Physik, Theoretical - Mathematical and Computational Physics
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