Neural control engineering the emerging intersection between control theory and neuroscience

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1. Verfasser: Schiff, Steven J. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge, MA MIT Press 2012
Schriftenreihe:Computational neuroscience series
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Datensatz im Suchindex

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adam_text Titel: Neural control engineering Autor: Schiff, Steven J. Jahr: 2012 Contents Series Foreword xi Preface xiii Introduction 1 1.1 Overview 1 1.2 A Motivational Example 3 1.3 Least Squares 10 1.4 Expectation and Covariance 14 1.5 Recursive Least Squares 17 1.6 It s a Bayesian World 19 Kaiman Filtering 25 2.1 Linear Kaiman Filtering 25 2.2 Nonlinear Kaiman Filtering 29 2.3 Why Not Neuroscience? 37 The Hodgkin-Huxley Equations 41 3.1 Pre-Hodgkin and Huxley 41 3.2 Hodgkin and Huxley and Colleagues 43 3.3 Hodgkin and Huxley 49 Simplified Neuronal Models 79 4.1 The Van der Pol Equations 79 4.2 Frequency Demultiplication 82 4.3 Bonhoeffer and the Passivation of Iron 82 4.4 Fitzhugh and Neural Dynamics 86 4.5 Nagumo s Electrical Circuit 91 4.6 Rinzel s Reduction 91 4.7 Simplified Models and Control 94 vjji Contents Bridging from Kaiman to Neuron 97 5.1 Introduction 97 5.2 Variables and Parameters 99 5.3 Tracking the Lorenz System 101 5.4 Parameter Tracking 104 5.5 The Fitzhugh-Nagumo Equations 106 Spatiotemporal Cortical Dynamics-The Wilson Cowan Equations 115 6.1 Before Wilson and Cowan 115 6.2 Wilson and Cowan before 1973 116 6.3 Wilson and Cowan during 1973 126 6.4 Wilson and Cowan after 1973 131 6.5 Spirals, Rings, and Chaotic Waves in Brain 133 6.6 Wilson-Cowan in a Control Framework 139 Empirical Models 153 7.1 Overview 153 7.2 The Second Rehnquist Court 156 7.3 The Geometry of Singular Value Decomposition 161 7.4 Static Image Decomposition 164 7.5 Dynamic Spatiotemporal Image Analysis 166 7.6 Spatiotemporal Brain Dynamics 168 Model Inadequacy 183 8.1 Introduction 183 8.2 The Philosophy of Model Inadequacy 185 8.3 The Mapping Paradigm-Initial Conditions 186 8.4 The Transformation Paradigm 190 8.5 Generalized Synchrony 195 8.6 Data Assimilation as Synchronization of Truth and Model 199 8.7 The Consensus Set 208 Brain-Machine Interfaces 215 9.1 Overview 215 9.2 The Brain 215 9.3 In the Beginning 216 9.4 After the Beginning 219 9.5 Beyond Bins-Moving from Rates to Points in Time 224 9.6 Back from the Future 227 9.7 When Bad Models Happen to Good Monkeys 232 9.8 Toward the Future 234 Contents 10 Parkinson s Disease 237 10.1 Overview 237 10.2 The Networks of Parkinson s Disease 239 10.3 The Thalamus-It s Not a Simple Relay Anymore 240 10.4 The Contribution of China White 241 10.5 Dynamics of Parkinson s Networks 242 10.6 The Deep Brain Stimulation Paradox 246 10.7 Reductionist Cracking the Deep Brain Stimulation Paradox 248 10.8 A Cost Function for Deep Brain Stimulation 256 10.9 Fusing Experimental GPi Recordings with DBS Models 259 10.10 Toward a Control Framework for Parkinson s Disease 259 10.11 Looking Foward 269 11 Control Systems with Electrical Fields 273 11.1 Introduction 273 11.2 A Brief History of the Science of Electrical Fields and Neurons 273 11.3 Applications of Electrical Fields in Vitro 277 11.4 A Brief Affair with Chaos 279 11.5 And a Fling with Ice Ages 283 11.6 Feedback Control with Electrical Fields 284 11.7 Controlling Propagation-Speed Bumps for the Brain 287 11.8 Neurons in the Resistive Brain 289 11.9 How Small an Electrical Field Will Modulate Neuronal Activity? 290 11.10 Transcranial Low-Frequency Fields 293 11.11 Electrical Fields for Control Within the Intact Brain 293 11.12 To Sleep Perchance to Dream 297 11.13 Toward an Implantable Field Controller 298 12 Assimilating Seizures 301 12.1 Introduction 301 12.2 Hodgkin-Huxley Revisited 302 12.3 The Dynamics of Potassium 306 12.4 Control of Single Cells with Hodgkin-Huxley and Potassium Dynamics 316 12.5 Assimilating Seizures 319 12.6 Assimilation in the Intact Brain 320 12.7 Perspective 323 13 Assimilating Minds 327 13.1 We Are All State Estimation Machines 327 13.2 Of Mind and Matter 327 Contents 13.3 Robot Beliefs versus Cogito Ergo MRI 328 13.4 Black versus Gray Swans 330 13.5 Mirror, Mirror, within My Mind 332 13.6 Carl Jung s Synchronicity 333 Bibliography 337 Index 357
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publishDate 2012
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publisher MIT Press
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series2 Computational neuroscience series
spellingShingle Schiff, Steven J.
Neural control engineering the emerging intersection between control theory and neuroscience
Computational neuroscience
Nonlinear control theory
Neural Networks (Computer)
Brain physiology
Models, Neurological
Neuroscience
Nonlinear Dynamics
Robotics
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title Neural control engineering the emerging intersection between control theory and neuroscience
title_auth Neural control engineering the emerging intersection between control theory and neuroscience
title_exact_search Neural control engineering the emerging intersection between control theory and neuroscience
title_full Neural control engineering the emerging intersection between control theory and neuroscience Steven J. Schiff
title_fullStr Neural control engineering the emerging intersection between control theory and neuroscience Steven J. Schiff
title_full_unstemmed Neural control engineering the emerging intersection between control theory and neuroscience Steven J. Schiff
title_short Neural control engineering
title_sort neural control engineering the emerging intersection between control theory and neuroscience
title_sub the emerging intersection between control theory and neuroscience
topic Computational neuroscience
Nonlinear control theory
Neural Networks (Computer)
Brain physiology
Models, Neurological
Neuroscience
Nonlinear Dynamics
Robotics
Nervennetz (DE-588)4041638-0 gnd
Modell (DE-588)4039798-1 gnd
Regelungstechnik (DE-588)4076594-5 gnd
Kontrolltheorie (DE-588)4032317-1 gnd
Neurowissenschaften (DE-588)7555119-6 gnd
topic_facet Computational neuroscience
Nonlinear control theory
Neural Networks (Computer)
Brain physiology
Models, Neurological
Neuroscience
Nonlinear Dynamics
Robotics
Nervennetz
Modell
Regelungstechnik
Kontrolltheorie
Neurowissenschaften
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