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Produktbild: An Introduction to Modeling Neuronal Dynamics
Band 66

An Introduction to Modeling Neuronal Dynamics

Aus der Reihe Texts in Applied Mathematics

71,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

25.04.2017

Abbildungen

XIII, 457 p. 356 illus., 186 illus. in color. With online files/update.

Verlag

Springer

Seitenzahl

457

Maße (L/B/H)

24,1/16/3,1 cm

Gewicht

869 g

Auflage

1st ed. 2017

Sprache

Englisch

ISBN

978-3-319-51170-2

Beschreibung

Rezension

“I would be happy to recommend this textbook to instructors seeking a textbook for an introductory course in mathematical neuroscience, and for students with quantitative backgrounds interested in taking such a course. … For those students beginning their climb from the established foundations of mathematical neuroscience towards these newer branches, An Introduction to Modeling Neuronal Dynamics offers a fine place to start.” (Braden A. W. Brinkman, SIAM Review, Vol. 61 (2), 2019)



“The book is supplemented with a helpful library of Matlab scripts that generate many of the plots and numerical results presented in it. The exercises encourage the readers to modify the scripts to create new plots ... the book takes the reader on a fascinating journey of neuronal dynamics via introduction, analysis and numerical simulation of relevant dynamical systems. It is written with clarity and rigor.” (Oksana Bihun, zbMATH 1382.92001, 2018)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

25.04.2017

Abbildungen

XIII, 457 p. 356 illus., 186 illus. in color. With online files/update.

Verlag

Springer

Seitenzahl

457

Maße (L/B/H)

24,1/16/3,1 cm

Gewicht

869 g

Auflage

1st ed. 2017

Sprache

Englisch

ISBN

978-3-319-51170-2

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: An Introduction to Modeling Neuronal Dynamics
  • Vocabulary and Notation.- Modeling a Single Neuron.- The Nernst Equilibrium.- The Classical Hodgkin-Huxley ODEs.- Numerical Solution of the Hodgkin-Huxley ODEs.- Three Simple Models of Neurons in Rodent Brains.- The Classical Hodgkin-Huxley PDEs.- Linear Integrate-and-fire (LIF) Neurons.- Quadratic Integrate-and-fire (QIF) and Theta Neurons.- Spike Frequency Adaptation.- Dynamics of Single Neuron Models.- The Slow-fast Phase Plane.- Saddle-node Collisions.- Model Neurons of Bifurcation Type 1.- Hopf Bifurcations.- Model Neurons of Bifurcation Type 2.- Canard Explosions.- Model Neurons of Bifurcation Type 3.- Frequency-current Curves.- Bistability Resulting from Rebound Firing.- Bursting.- Modeling Nuronal Communication.- Chemical Synapses.- Gap Junctions.- A Wilson-Cowan Model of an Oscillatory E-I Network.- Entertainment, Synchronization, and Oscillations.- Entertainment by Excitatory Input Pulses.- Synchronization by Fast Recurrent Excitation.- Phase Response Curves (PRCs).- Synchronization of Two Pulse-coupled Oscillators.- Oscillators Coupled by Delayed Pulses.- Weakly Coupled Oscillators.- Approximate Synchronization by a Single Inhibitory Pulse.- The PING Model of Gamma Rhythms.- ING Rhythms.- Weak PING Rhythms.- Beta Rhythms.- Nested Gamma-theta Rhythms.- Functional Significance of Synchrony and Oscillations.- Rhythmic vs. Tonic Inhibition.- Rhythmic vs. Tonic Excitation.- Gamma Rhythms and Cell Assemblies.- Gamma Rhythms and Communication.- Synaptic Plasticity.- Short-term Depression and Facilitation.- Spike Timing-dependent Plasticity (STDP).- Appendices.- A. The Bisection Method.- Fixed Point Iteration.- Elementary Probability Theory.- Smooth Approximations of Non-smooth Functions.- Solutions to Selected Homework Problems.