MARC details
| 000 -LEADER |
| fixed length control field |
04722cam a22005175i 4500 |
| 001 - CONTROL NUMBER |
| control field |
21820986 |
| 003 - CONTROL NUMBER IDENTIFIER |
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
| control field |
20260504145629.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
| fixed length control field |
m |o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
| fixed length control field |
cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
170417s2017 gw |||| o |||| 0|eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
| LC control number |
2019766691 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9783319845852 |
| 024 7# - OTHER STANDARD IDENTIFIER |
| Standard number or code |
10.1007/978-3-319-51171-9 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
| System control number |
21820986 |
| 035 ## - SYSTEM CONTROL NUMBER |
| System control number |
(DE-He213)978-3-319-51171-9 |
| 040 ## - CATALOGING SOURCE |
| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
pn |
| -- |
rda |
| Transcribing agency |
DLC |
| 072 #7 - SUBJECT CATEGORY CODE |
| Subject category code |
MAT003000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
| Subject category code |
PBWH |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
| Subject category code |
PBWH |
| Source |
thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
519 |
| Item number |
BOR |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Börgers, Christoph, |
| Relator term |
author. |
| 9 (RLIN) |
3808 |
| 245 13 - TITLE STATEMENT |
| Title |
An Introduction to Modeling Neuronal Dynamics / |
| Statement of responsibility, etc. |
by Christoph Börgers. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Place of production, publication, distribution, manufacture |
Cham, Switzerland : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
xiii,457p. |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
| Series statement |
Texts in Applied Mathematics, |
| International Standard Serial Number |
0939-2475 ; |
| Volume/sequential designation |
66 |
| 505 0# - FORMATTED CONTENTS NOTE |
| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
| Summary, etc. |
This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science. An undergraduate introduction to differential equations is more than enough mathematical background. Only a slim, high school-level background in physics is assumed, and none in biology. Topics include models of individual nerve cells and their dynamics, models of networks of neurons coupled by synapses and gap junctions, origins and functions of population rhythms in neuronal networks, and models of synaptic plasticity. An extensive online collection of Matlab programs generating the figures accompanies the book. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
| Source of description note |
Description based on publisher-supplied MARC data. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Biomathematics. |
| 9 (RLIN) |
3809 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Dynamical systems. |
| 9 (RLIN) |
3552 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Dynamics. |
| 9 (RLIN) |
2249 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Neural networks (Computer science) . |
| 9 (RLIN) |
3810 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Neurosciences. |
| 9 (RLIN) |
3811 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Statistical physics. |
| 9 (RLIN) |
863 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Vibration. |
| 9 (RLIN) |
3554 |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Mathematical Models of Cognitive Processes and Neural Networks. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/product-market-codes/M13100 |
| 9 (RLIN) |
3812 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Mathematical and Computational Biology. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/product-market-codes/M31000 |
| 9 (RLIN) |
3813 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Neurosciences. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/product-market-codes/B18006 |
| 9 (RLIN) |
3814 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Statistical Physics and Dynamical Systems. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/product-market-codes/P19090 |
| 9 (RLIN) |
3815 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Vibration, Dynamical Systems, Control. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/product-market-codes/T15036 |
| 9 (RLIN) |
3558 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
| Uniform title |
Texts in Applied Mathematics, |
| International Standard Serial Number |
0939-2475 ; |
| Volume/sequential designation |
66 |
| 9 (RLIN) |
3816 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
| a |
0 |
| b |
ibc |
| c |
origres |
| d |
u |
| e |
ncip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |