Neurodynamics: An Exploration in Mesoscopic Brain Dynamics

Chapter 1 Prolog

Chapter 2 Spatial Mapping of Evoked Brain Potentials and EEGs to Define Population State Variables

Chapter 3 Linear Models of Impulse Inputs and Linear Basis Functions for Measuring Impulse Responses

Chapter 4 Rational Approximations in the Complex Plane for Laplace Transforms of Transcendental Linear Operators

Chapter 5 Root Locus Analysis of Piecewise Linearized Models with Multiple Feedback Loops and Unilateral or Bilateral Saturation

Chapter 6 Opening Feedback Loops with Surgery and Anesthesia; Closing the Loops with Noise

Chapter 7 Three Degrees of Freedom in Neural Populations: Arousal, Learning, and Bistability

Chapter 8 Analog Computation to Model Responses Based on Linear Integration, Modifiable Synapses, and Nonlinear Trigger Zones

Chapter 9 Stability Analysis to Derive and Regulate Homeostatic Set Points for Negative Feedback Loops

Chapter 10 Multichannel Recording to Reveal the “Code” of the Cortex: Spatial Patterns of Amplitude Modulation (AM) of Mesoscopic Carrier Waves

Chapter 11 Relations Between Microscopic and Mesoscopic Levels Shown by Calculating Pulse Probability Conditional on EEG Amplitude, Giving the Asymmetric Sigmoid Function

Chapter 12 The Use of Euclidean Distance in 64-space and Behavioral Correlates to Optimize Filters for Gamma AM Pattern Classification

Chapter 13 Simulating Gamma Waveforms, AM Patterns and 1/ f α Spectra by Means of Mesoscopic Chaotic Neurodynamics

Chapter 14 Tuning Curves to Optimize Temporal Segmentation and Parameter Evaluation of Adaptive Filters for Neocortical EEG

Chapter 15 Stochastic Differential Equations and Random Number Generators Minimize Numerical Instabilities in Digital Simulations

Chapter 16 Links Between Microscopic Neurons and Mesoscopic Neural Assemblies