書籍詳細

書籍詳細




洋書

神経科学のための数学(第2版)

Mathematics for Neuroscientists

2ND

Gabbiani, Fabrizio   Cox, Steven James

Academic Pr 2017/02
628 p. illustrations (some color) ; 28 cm   
装丁: Hrd    装丁について
テキストの言語: ENG    出版国: US
ISBN: 9780128018958
KCN: 1027101635
紀伊國屋書店 選定タイトル
標準価格:¥18,425(本体 ¥16,750)   
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納期について
DDC: 612
KDC: G70 神経内科学・神経科学
F182 数理生物学
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Annotation

Fully revised material and corrected text. Additional chapters on extracellular potentials, motion detection and neurovascular coupling. Revised selection of exercises with solutions. More than 200 MATLAB scripts reproducing the figures as well as a selection of equivalent Python scripts. Prev. ed.: 2010.

Full Description

Mathematics for Neuroscientists, Second Edition, presents a comprehensive introduction to mathematical and computational methods used in neuroscience to describe and model neural components of the brain from ion channels to single neurons, neural networks and their relation to behavior. The book contains more than 200 figures generated using Matlab code available to the student and scholar. Mathematical concepts are introduced hand in hand with neuroscience, emphasizing the connection between experimental results and theory.

Table of Contents

1. Introduction 2. The Passive Isopotential Cell 3. Differential Equations 4. The Active Isopotential Cell 5. The Quasi-Active Isopotential Cell 6. The Passive Cable 7. Fourier Series and Transforms 8. The Passive Dendritic Tree 9. The Active Dendritic Tree 10. Extracellular Potential 11. Reduced Single Neuron Models 12. Probability and Random Variables 13. Synaptic Transmission and Quantal Release 14. Neuronal Calcium SignalingNeuronal Calcium Signaling 15. Neurovascular Coupling, the BOLD Signal and MRI 16. The Singular Value Decomposition and ApplicationsThe Singular Value Decomposition and Applications 17. Quantification of Spike Train Variability 18. Stochastic Processes 19. Membrane NoiseMembrane Noise 20. Power and Cross-Spectra 21. Natural Light Signals and Phototransduction 22. Firing Rate Codes and Early Vision 23. Models of Simple and Complex Cells 24. Models of Motion Detection 25. Stochastic Estimation Theory 26. Reverse-Correlation and Spike Train Decoding 27. Signal Detection Theory 28. Relating Neuronal Responses and Psychophysics 29. Population CodesPopulation Codes 30. Neuronal Networks 31. Solutions to Exercises