Calculus for Cognitive Scientists Partial Differential Equation Models
Aus der Reihe
Cognitive Science and Technology
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- Hardcover ausgewählt
- Taschenbuch
- eBook
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Sprache:Englisch
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Auflage:1st edition 2016
Fr. 192.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
19.02.2016
Abbildungen
XXXI, 156 illus. in color., farbige Illustrationen
Verlag
Springer SingaporeSeitenzahl
534
Maße (L/B/H)
24.1/16/3.6 cm
Gewicht
1010 g
Auflage
1st edition 2016
Sprache
Englisch
ISBN
978-981-287-878-6
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.
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