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Tables of Contents for Neuroscience
Chapter/Section Title
Page #
Page Count
Preface
vii
Acknowledgments
xi
List of Figures
xix
A Short History of Neuroscience
1
24
Dynamics of a Nerve Impulse
1
7
The Structure of a Nerve Cell
8
3
Organization of the Brain
11
14
References
19
6
Structure of a Neuron
25
24
A Generic Neuron
25
3
Two Levels of Neural Dynamics
28
7
Newtonian Dynamics of Molecules
28
3
Nonlinear Diffusion of a Nerve Impulse
31
2
A Qualitative Comparison
33
2
Synapses
35
6
Chemical Synapses
35
4
Gap Junctions
39
2
Neural Models
41
4
The McCulloch-Pitts (M-P) Neuron
41
2
The Multiplex Neuron
43
1
Real Neurons?
44
1
Recapitulation
45
4
References
46
3
Nerve Membranes
49
18
Lipid Bilayers
50
3
Membrane Capacitance
53
3
Transmembrane Ionic Currents
56
4
Conduction Current
56
1
Diffusion Current
57
1
Einstein's Relation
58
2
A Membrane Model
60
3
Resting Potential and the Sodium-Potassium Pump
63
2
Recapitulation
65
2
References
65
2
The Hodgkin-Huxley (H-H) Axon
67
28
Space and Voltage Clamping
67
3
Ionic Currents Through a Patch of Squid Membrane
70
4
Space-Clamped Action Potentials
74
3
The ``Cable Equation''
77
2
Traveling-Wave Solutions of the Hodgkin-Huxley Equations
79
5
Phase-Space Analysis
80
2
Numerical Results
82
2
Degradation of a Squid Nerve Impulse
84
3
Refractory and Enhancement Zones
87
4
Recapitulation
91
4
References
91
4
Leading-Edge Models
95
20
Leading-Edge Approximation for the H-H Impulse
95
3
Traveling-Wave Solutions for Leading-Edge Models
98
8
Phase-Plane Analysis
99
3
Analytic Results
102
4
The Threshold Impulse
106
2
Stability of Simple Traveling Waves
108
1
Leading-Edge Charge and Impulse Ignition
109
2
Recapitulation
111
4
References
112
3
Recovery Models
115
24
The Markin-Chizmadzhev (M-C) Model
115
7
FitzHugh-Nagumo (F-N) Models
122
2
Phase-Space Analysis of an F-N Model
124
3
Power Balance for Traveling Waves
127
3
Structure of an F-N Impulse
130
6
Rapid and Relaxing Regimes
130
2
Stability
132
4
Recapitulation
136
3
References
137
2
Myelinated Nerves
139
26
An Electric Circuit Model
140
4
Impulse Speed and Failure
144
4
Continuum Limit
145
1
Saltatory Limit
146
1
Numerical Results
147
1
Biological Considerations
148
10
Frog Motor Nerves
148
3
Other Vertebrates
151
2
An Evolutionary Perspective
153
5
The Evolution of Arctic Fish
158
1
Recapitulation
158
7
References
159
6
Ephaptic Interactions Among Axons
165
22
Empirical Evidence
165
2
M-C Analysis of Ephaptic Coupling
167
2
Leading-Edge Analysis of Ephaptic Coupling
169
5
Sketch of the Perturbation Theory
169
2
A Qualitative Analysis
171
3
Ephaptic Coupling in an F-N Model
174
3
Ephaptic Coupling of Myelinated Nerves
177
5
A Numerical Model for Myelinated Interactions
177
4
Neurological Implications
181
1
Recapitulation
182
5
References
183
4
Neural Modeling
187
46
Linear Dendritic Models
188
11
Passive Dendrites
188
6
Decremental Conduction
194
1
Rall's Equivalent Cylinder
195
4
Inhomogeneous Active Fibers
199
7
Tapered Fibers
199
2
Varicosities and Impulse Blockage
201
3
Branching Regions
204
2
Information Processing in Dendrites
206
11
Dendritic Logic
207
6
Multiplicative Nonlinearities
213
4
Axonal Information Processing?
217
3
Numerical Models
220
2
Some Outstanding Research Problems
222
2
Recapitulation
224
9
References
225
8
Constructive Brain Theories
233
24
Nets Without Circles
234
7
McCulloch-Pitts (M-P) Networks
235
2
Learning Networks
237
4
Nets with Circles
241
7
General Boolean Networks
241
3
Attractor Neural Networks
244
4
Field Theories for the Neocortex
248
4
Recapitulation
252
5
References
252
5
Neuronal Assemblies
257
36
Birth of the Cell-Assembly Theory
258
3
Early Evidence for Cell Assemblies
261
5
Elementary Assembly Dynamics
266
8
Ignition of an Assembly
266
4
Inhibition among Assemblies
270
4
How Many Assemblies Can There Be?
274
3
Cell Assemblies and Associative Networks
277
1
More Realistic Assembly Models
278
4
Recent Evidence for Cell Assemblies
282
5
Recapitulation
287
6
References
288
5
The Hierarchical Nature of Brain Dynamics
293
22
The Biological Hierarchy
293
12
Biological Reductionism
294
2
Objections to Reductionism
296
9
The Cognitive Hierarchy
305
4
Some Outstanding Questions
309
6
References
311
4
A Conservation Laws and Conservative Systems
315
4
References
318
1
B Hodgkin-Huxley Dynamics
319
2
References
320
1
C Fredholm's Theorem
321
2
References
322
1
D Stability of Axonal Impulses
323
8
References
330
1
E Perturbation Theory for the F-N Impulse
331
4
References
333
2
F Perturbation Analyses of Ephaptic Interactions
335
6
F.1 Leading Edge Interactions
335
2
F.2 The FitzHugh-Nagumo System
337
4
References
340
1
Index
341