Ebook: Models of the Stochastic Activity of Neurones

These notes have grown from a series of seminars given at Leeds between 1972 and 1975. They represent an attempt to gather together the different kinds of model which have been proposed to account for the stochastic activity of neurones, and to provide an introduction to this area of mathematical biology. A striking feature of the electrical activity of the nervous system is that it appears stochastic: this is apparent at all levels of recording, ranging from intracellular recordings to the electroencephalogram. The chapters start with fluctuations in membrane potential, proceed through single unit and synaptic activity and end with the behaviour of large aggregates of neurones: L have chgaen this seque~~e/~~';uggest that the interesting behaviourr~f :the nervous system - its individuality, variability and dynamic forms - may in part result from the stochastic behaviour of its components. I would like to thank Dr. Julio Rubio for reading and commenting on the drafts, Mrs. Doris Beighton for producing the final typescript and Mr. Peter Hargreaves for preparing the figures.

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Content:
Front Matter....Pages I-VII
Stochastic Fluctuations in Membrane Potential....Pages 1-19
Quantal Fluctuations in Generator Potential....Pages 20-39
Models of Action Potential Initiation....Pages 40-66
Fluctuations in Excitability....Pages 67-83
Statistical Properties of a Spike Train....Pages 84-114
Random Walk Models....Pages 115-130
Diffusion Models....Pages 131-168
Superposition Models....Pages 169-186
Collision Models....Pages 187-199
Gating and Selective Interaction Models....Pages 200-234
Models of Synaptic Transmission....Pages 235-285
Models of the Stochastic Activity of Neural Aggregates....Pages 286-333
Information Transmission by Model Neurones....Pages 334-363
Back Matter....Pages 364-368

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Content:
Front Matter....Pages I-VII
Stochastic Fluctuations in Membrane Potential....Pages 1-19
Quantal Fluctuations in Generator Potential....Pages 20-39
Models of Action Potential Initiation....Pages 40-66
Fluctuations in Excitability....Pages 67-83
Statistical Properties of a Spike Train....Pages 84-114
Random Walk Models....Pages 115-130
Diffusion Models....Pages 131-168
Superposition Models....Pages 169-186
Collision Models....Pages 187-199
Gating and Selective Interaction Models....Pages 200-234
Models of Synaptic Transmission....Pages 235-285
Models of the Stochastic Activity of Neural Aggregates....Pages 286-333
Information Transmission by Model Neurones....Pages 334-363
Back Matter....Pages 364-368
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