The Resource Calculus for Cognitive Scientists : Partial Differential Equation Models, by James K. Peterson, (electronic resource)

Calculus for Cognitive Scientists : Partial Differential Equation Models, by James K. Peterson, (electronic resource)

Label
Calculus for Cognitive Scientists : Partial Differential Equation Models
Title
Calculus for Cognitive Scientists
Title remainder
Partial Differential Equation Models
Statement of responsibility
by James K. Peterson
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Peterson, James K
Image bit depth
0
LC call number
Q342
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Cognitive Science and Technology,
http://library.link/vocab/subjectName
  • Engineering
  • Artificial intelligence
  • Computer graphics
  • Neural networks (Computer science)
  • Physics
  • Computational intelligence
  • Engineering
  • Computational Intelligence
  • Theoretical, Mathematical and Computational Physics
  • Mathematical Models of Cognitive Processes and Neural Networks
  • Artificial Intelligence (incl. Robotics)
  • Computer Imaging, Vision, Pattern Recognition and Graphics
Label
Calculus for Cognitive Scientists : Partial Differential Equation Models, by James K. Peterson, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Graham - Schmidt Orthogonalization -- Numerical Diï¬erential Equations -- Biological Molecules -- Ion Movement -- Lumped and Distributed Cell Models -- Time Independent Solutions to Inï¬nite Cables -- Time Independent Solutions to Finite and Half-Inï¬nite Space Cables -- A Primer On Series Solutions -- Linear Partial Diï¬erential Equations -- Simpliï¬ed Dendrite - Soma â Axon Information Processing -- The Basic Hodgkin - Huxley Model -- Final Thoughts -- Background Reading
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XXXI, 534 p. 156 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9789812878809
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-287-880-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-287-880-9
Label
Calculus for Cognitive Scientists : Partial Differential Equation Models, by James K. Peterson, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Graham - Schmidt Orthogonalization -- Numerical Diï¬erential Equations -- Biological Molecules -- Ion Movement -- Lumped and Distributed Cell Models -- Time Independent Solutions to Inï¬nite Cables -- Time Independent Solutions to Finite and Half-Inï¬nite Space Cables -- A Primer On Series Solutions -- Linear Partial Diï¬erential Equations -- Simpliï¬ed Dendrite - Soma â Axon Information Processing -- The Basic Hodgkin - Huxley Model -- Final Thoughts -- Background Reading
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XXXI, 534 p. 156 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9789812878809
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-287-880-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-287-880-9

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