Ebook: Neurodynamics: An Exploration in Mesoscopic Brain Dynamics

Cortical evoked potentials are of interest primarily as tests of changing neuronal excitabilities accompanying normal brain function. The first three steps in the anal­ ysis of these complex waveforms are proper placement of electrodes for recording, the proper choice of electrical or sensory stimulus parameters, and the establish­ ment of behavioral control. The fourth is development of techniques for reliable measurement. Measurement consists of comparison of an unknown entity with a set of standard scales or dimensions having numerical attributes in preassigned degree. A physical object can be described by the dimensions of size, mass, density, etc. In addition there are dimensions such as location, velocity, weight, hardness, etc. Some of these dimensions can be complex (e. g. size depends on three or more subsidiary coordi­ nates), and some can be interdependent or nonorthogonal (e. g. specification of size and mass may determine density). In each dimension the unit is defined with refer­ ence to a standard physical entity, e. g. a unit of mass or length, and the result of measurement is expressed as an equivalence between the unknown and the sum of a specified number of units of that entity. The dimensions of a complex waveform are elementary waveforms from which that waveform can be built by simple addition. Any finite single-valued function of time is admissible. They are called basis functions (lO, 15), and they can be expressed in numeric as well as geometric form.

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This volume provides an overview of important work carried out by Professor Walter Freeman of the University of Berkeley, California, USA. Collecting together his published works over the last 35 years, it charts his groundbreaking research into perception and other cognitive operations in animals and humans and looks at how this can be applied to computer hardware to provide the foundations for novel - and greatly improved - machine intelligence. It provides a step-by-step description of the concepts and data needed by electrical engineers, computer scientists and cognitivists to understand and emulate pattern recognition in biological systems at a level of competence which has not yet been matched by any form of Artificial Intelligence. It offers a unique blend of theory and experiment and, historically, it also demonstrates the impact of computers on the design, execution, and interpretation of experiments in neurophysiology over the past five decades.

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This volume provides an overview of important work carried out by Professor Walter Freeman of the University of Berkeley, California, USA. Collecting together his published works over the last 35 years, it charts his groundbreaking research into perception and other cognitive operations in animals and humans and looks at how this can be applied to computer hardware to provide the foundations for novel - and greatly improved - machine intelligence. It provides a step-by-step description of the concepts and data needed by electrical engineers, computer scientists and cognitivists to understand and emulate pattern recognition in biological systems at a level of competence which has not yet been matched by any form of Artificial Intelligence. It offers a unique blend of theory and experiment and, historically, it also demonstrates the impact of computers on the design, execution, and interpretation of experiments in neurophysiology over the past five decades.
Content:
Front Matter....Pages i-ix
Prolog....Pages 1-24
Front Matter....Pages 25-25
Spatial Mapping of Evoked Brain Potentials and EEGs to Define Population State Variables....Pages 27-50
Linear Models of Impulse Inputs and Linear Basis Functions for Measuring Impulse Responses....Pages 51-67
Rational Approximations in the Complex Plane for Laplace Transforms of Transcendental Linear Operators....Pages 69-89
Root Locus Analysis of Piecewise Linearized Models with Multiple Feedback Loops and Unilateral or Bilateral Saturation....Pages 91-123
Opening Feedback Loops with Surgery and Anesthesia; Closing the Loops with Noise....Pages 125-139
Three Degrees of Freedom in Neural Populations: Arousal, Learning, and Bistability....Pages 141-163
Analog Computation to Model Responses Based on Linear Integration, Modifiable Synapses, and Nonlinear Trigger Zones....Pages 165-175
Stability Analysis to Derive and Regulate Homeostatic Set Points for Negative Feedback Loops....Pages 177-208
Front Matter....Pages 209-209
Multichannel Recording to Reveal the “Code” of the Cortex: Spatial Patterns of Amplitude Modulation (AM) of Mesoscopic Carrier Waves....Pages 211-239
Relations Between Microscopic and Mesoscopic Levels Shown by Calculating Pulse Probability Conditional on EEG Amplitude, Giving the Asymmetric Sigmoid Function....Pages 241-264
The Use of Euclidean Distance in 64-space and Behavioral Correlates to Optimize Filters for Gamma AM Pattern Classification....Pages 265-290
Simulating Gamma Waveforms, AM Patterns and 1/f ? Spectra by Means of Mesoscopic Chaotic Neurodynamics....Pages 291-312
Tuning Curves to Optimize Temporal Segmentation and Parameter Evaluation of Adaptive Filters for Neocortical EEG....Pages 313-349
Stochastic Differential Equations and Random Number Generators Minimize Numerical Instabilities in Digital Simulations....Pages 351-367
Links Between Microscopic Neurons and Mesoscopic Neural Assemblies....Pages 369-376
Back Matter....Pages 377-397

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This volume provides an overview of important work carried out by Professor Walter Freeman of the University of Berkeley, California, USA. Collecting together his published works over the last 35 years, it charts his groundbreaking research into perception and other cognitive operations in animals and humans and looks at how this can be applied to computer hardware to provide the foundations for novel - and greatly improved - machine intelligence. It provides a step-by-step description of the concepts and data needed by electrical engineers, computer scientists and cognitivists to understand and emulate pattern recognition in biological systems at a level of competence which has not yet been matched by any form of Artificial Intelligence. It offers a unique blend of theory and experiment and, historically, it also demonstrates the impact of computers on the design, execution, and interpretation of experiments in neurophysiology over the past five decades.
Content:
Front Matter....Pages i-ix
Prolog....Pages 1-24
Front Matter....Pages 25-25
Spatial Mapping of Evoked Brain Potentials and EEGs to Define Population State Variables....Pages 27-50
Linear Models of Impulse Inputs and Linear Basis Functions for Measuring Impulse Responses....Pages 51-67
Rational Approximations in the Complex Plane for Laplace Transforms of Transcendental Linear Operators....Pages 69-89
Root Locus Analysis of Piecewise Linearized Models with Multiple Feedback Loops and Unilateral or Bilateral Saturation....Pages 91-123
Opening Feedback Loops with Surgery and Anesthesia; Closing the Loops with Noise....Pages 125-139
Three Degrees of Freedom in Neural Populations: Arousal, Learning, and Bistability....Pages 141-163
Analog Computation to Model Responses Based on Linear Integration, Modifiable Synapses, and Nonlinear Trigger Zones....Pages 165-175
Stability Analysis to Derive and Regulate Homeostatic Set Points for Negative Feedback Loops....Pages 177-208
Front Matter....Pages 209-209
Multichannel Recording to Reveal the “Code” of the Cortex: Spatial Patterns of Amplitude Modulation (AM) of Mesoscopic Carrier Waves....Pages 211-239
Relations Between Microscopic and Mesoscopic Levels Shown by Calculating Pulse Probability Conditional on EEG Amplitude, Giving the Asymmetric Sigmoid Function....Pages 241-264
The Use of Euclidean Distance in 64-space and Behavioral Correlates to Optimize Filters for Gamma AM Pattern Classification....Pages 265-290
Simulating Gamma Waveforms, AM Patterns and 1/f ? Spectra by Means of Mesoscopic Chaotic Neurodynamics....Pages 291-312
Tuning Curves to Optimize Temporal Segmentation and Parameter Evaluation of Adaptive Filters for Neocortical EEG....Pages 313-349
Stochastic Differential Equations and Random Number Generators Minimize Numerical Instabilities in Digital Simulations....Pages 351-367
Links Between Microscopic Neurons and Mesoscopic Neural Assemblies....Pages 369-376
Back Matter....Pages 377-397
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