Observed brain dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2008
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 381 S. Ill., graph. Darst. |
| ISBN: | 9780195178081 |
Staff View
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Record in the Search Index
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| adam_text | OBSERVED BRAIN DYNAMICS PARTHA P. MITRA HEMANT BOKIL OXTORD UNIVERSITY
PRESS 2008 CONTENTS PART I CONCEPTUAL BACKGROUND 1 1 WHY STUDY BRAIN
DYNAMICS? 3 1.1 WHY DYNAMICS? AN ACTIVE PERSPECTIVE 3 VI
QIMNUE^IQ^DV.AAMICS V SHARED THEORETICAL INSTRUMENTS 6 1.3 NEWTONIAN AND
BERGSONIAN TIME 7 1.3.1 REVERSIBLE AND IRREVERSIBLE DYNAMICS; ENTROPY 9
1.3.2 DETERMINISTIC VERSUS RANDOM MOTION 12 1.3.3 BIOLOGICAL ARROWS
OFTIME? 12 2 THEORETICAL ACCOUNTS OF THE NERVOUS SYSTEM 14 2.1 THREE
AXES IN THE SPACE OF THEORIES 15 2.1.1 LEVEL OF ORGANIZATION 17 2.1.2
DIRECTION OF CAUSAL EXPLANATIONS 22 2.1.3 INSTRUMENTAL APPROACH 24 2.1.4
CONCLUSION 25 3 ENGINEERING THEORIES AND NERVOUS SYSTEM FUNCTION 2 7 3.1
WHAT DO BRAINS DO? 27 3.2 ENGINEERING THEORIES 29 3.2.1 CONTROL THEORY
31 3.2.2 COMMUNICATION THEORY 32 3.2.3 COMPUTATION 36 4 METHODOLOGICAL
CONSIDERATIONS 40 4.1 CONCEPTUAL CLARITY AND VALID REASONING 41 XVII
4.1.1 SYNTAX: WELL-FORMED STATEMENTS 41 4.1.2 LOGIC: CONSEQUENCE 42 4.2
NATURE OF SCIENTIFIC METHOD 42 4.2.2 EMPIRICAL AND CONTROLLED
EXPERIMENTAL METHODS 43 4.2.2 DEDUCTIVE AND INDUCTIVE METHODS 44 4.2.3
CAUSATION AND CORRELATION 46 PART II TUTORIALS 49 5 MATHEMATICAL
PRELIMINARIES 51 5.1 SEALARS: REAL AND COMPLEX VARIABLES; ELEMENTARY
FUNCTIONS 52 5.2.2 EXPONENTIAL FUNCTIONS 54 5.1.2 MISCELLANEOUS REMARKS
56 5.2 VECTORS AND MATRICES: LINEAR ALGEBRA 56 5.2.2 VECTORS AS POINTS
IN A HIGH-DIMENSIONAL SPACE 57 5.2.2 ANGLES, DISTANCES, AND VOLUMES 58
5.2.3 LINEAR INDEPENDENCE AND BASIS SETS 61 5.2.4 SUBSPACES AND
PROJECTIONS 62 5.2.5 MATRICES: LINEAR TRANSFORMATIONS OF VECTORS 63
5.2.6 SOME CLASSES OF MATRICES 64 5.2.7 FUNCTIONS OF MATRICES:
DETERMINANTS, TRACES, AND EXPONENTIALS 66 5.2.8 CLASSICAL MATRIX
FACTORIZATION TECHNIQUES 67 5.2.9 PSEUDOSPECTRA 70 5.3 FOURIER ANALYSIS
72 5.3.2 FUNCTION SPACES AND BASIS EXPANSIONS 74 5.3.2 FOURIER SERIES 77
5.3.3 CONVERGENCE OF FOURIER EXPANSIONS ON THE INTERVAL 81 5.3.4 FOURIER
TRANSFORMS 83 5.3.5 BANDLIMITED FUNCTIONS, THE SAMPLING THEOREM, AND
ALIASING 84 5.3.6 DISCRETE FOURIER TRANSFORMS AND FAST FOURIER
TRANSFORMS 86 5.4 TIME FREQUENCY ANALYSIS 89 5.4.2 BROADBAND BIAS AND
NARROWBAND BLAS 90 5.4.2 THE SPECTRAL CONCENTRATION PROBLEM 94 5.5
PROBABILITY THEORY 98 5.5.2 SAMPLE SPACE, EVENTS, AND PROBABILITY AXIOMS
100 5.5.2 RANDOM VARIABLES AND CHARACTERISTIC FUNCTION 102 5.5.3 SOME
COMMON PROBABILITY MEASURES 105 5.5.4 LAW OF LARGE NUMBERS 111 5.5.5
CENTRAL LIMIT THEOREMS 112 XVIII CONTENTS 5.6 STOCHASTIC PROCESSES 113
5.6.2 DEFLNING STOCHASTIC PROCESSES 114 5.6.2 TIME TRANSLATIONAL
INVARIANCE 116 5.6.3 ERGODICITY 117 5.6.4 TIME TRANSLATION INVARIANCE
AND SPECTRAL ANALYSIS 118 5.6.5 GAUSSIAN PROCESSES 118 5.6.6
NON-GAUSSIAN PROCESSES 123 5.6.7 POINT PROCESSES 124 6 STATISTICAL
PROTOCOLS 148 6.1 DATA ANALYSIS GOALS 149 6.2 AN EXAMPLE OF A PROTOCOL:
METHOD OF LEAST SQUARES 150 6.3 CLASSICAL AND MODERN APPROACHES 151
6.3.1 DATA VISUALIZATION 152 6.4 CLASSICAL APPROACHES: ESTIMATION AND
INFERENCE 153 6.4.2 POINT ESTIMATION 154 6.4.2 METHOD OF LEAST SQUARES:
THE LINEAR MODEL 161 6.4.3 GENERALIZED LINEAR MODELS 167 6.4.4 INTERVAL
ESTIMATION 171 6.4.5 HYPOTHESIS TESTING 172 6.4.6 NONPARAMETRIC TESTS
178 6.4.7 BAYESIAN ESTIMATION AND INFERENCE 181 7 TIME SERIES ANALYSIS
184 7.1 METHOD OF MOMENTS 185 7.2 EVOKED POTENTIALS AND PERISTIMULUS
TIME HISTOGRAM 187 7.3 UNIVARIATE SPECTRAL ANALYSIS 189 7.3.2
PERIODOGRAM ESTIMATE: PROBLEMS OF BIAS AND VARIANCE 190 7.3.2
NONPARAMETRIC QUADRATIC ESTIMATES 191 7.3.3 AUTOREGRESSIVE PARAMETRIC
ESTIMATES 197 7.3.4 HARMONIE ANALYSIS AND MIXED SPECTRAL ESTIMATION 200
7.3.5 DYNAMIC SPECTRA 202 7.4 BIVARIATE SPECTRAL ANALYSIS 207 7.4.2
CROSS-COHERENCE 208 7.5 MULTIVARIATE SPECTRAL ANALYSIS 209 7.5.2
SINGULAR VALUE DECOMPOSITION OF CROSS-SPECTRAL MATRIX 209 7.6 PREDICTION
211 7.6.2 LINEAR PREDICTION USING AUTOREGRESSIVE MODELS 212 7.7 POINT
PROCESS SPECTRAL ESTIMATION 213 7.7.2 DEGREES OF FREEDOM 214 7.7.2
HYBRID MULTIVARIATE PROCESSES 214 CONTENTS XIX 7.8 HIGHER ORDER
CORRELATIONS 215 7. 8.1 CORRELATIONS BETWEEN SPECTRAL POWER AT DIFFERENT
FREQUENCIES 216 PART III APPLICATIONS 217 8 ELECTROPHYSIOLOGY:
MICROELECTRODE RECORDINGS 219 8.1 INTRODUCTION 219 8.2 EXPERIMENTAL
APPROACHES 220 8.3 BIOPHYSICS OF NEURONS 221 8.3.1 TRANSMEMBRANE RESTING
POTENTIAL 221 8.3.2 ACTION POTENTIALS AND SYNAPTIC POTENTIALS 221 8.3.3
EXTRACELLULAR POTENTIALS 223 8.4 MEASUREMENT TECHNIQUES 224 8.4.1
INTRACELLULAR MEASUREMENTS 224 8.4.2 EXTRACELLULAR MEASUREMENTS 224
8.4.3 NOISE SOURCES 225 8.5 ANALYSIS PROTOCOL 225 8.5.1 DATA
CONDITIONING 225 8.5.2 ANALYSIS OF SPIKE TRAINS 228 8.5.3 LOCAL FIELD
POTENTIALS 239 8.5.4 MEASURES OF ASSOCIATION 242 8.5.5 PERIODIC
STIMULATION 246 8.6 PARAMETRIC METHODS 248 8.6.2 GOODNESS OF FIT 250
8.6.2 EXAMPLE 250 8.7 PREDICTING BEHAVIOR FROM NEURAL ACTIVITY 251 8.7.1
SELECTING FEATURE VECTORS 253 8.7.2 DISCRETE CATEGORIES 254 8.7.3
CONTINUOUS MOVEMENTS 255 9 SPIKE SORTING 257 9.1 INTRODUCTION 257 9.2
GENERAL FRAMEWORK 258 9.2.1 MANUAL SORTING 258 9.3 DATA ACQUISITION 259
9.3.1 MULTIPLE ELECTRODES 259 9.3.2 SAMPLING 259 9.3.3 DATA WINDOWS 260
9.4 SPIKE DETECTION 262 9.4.2 ALIGNMENT 263 9.4.2 OUTLIER REMOVAL 265 XX
CONTENTS 9.4.3 DATA VISUALIZATION 265 9.5 CLUSTERING 266 9.6 QUALITY
METRICS 268 9.6.1 MANUAL REVIEW 268 10 ELECTRO- AND
MAGNETOENCEPHALOGRAPHY 271 10.1 INTRODUCTION 271 10.2 ANALYSIS OF
ELECTROENCEPHALOGRAPHIC SIGNALS: EARLY WORK 271 10.3 PHYSICS OF
ENCEPHALOGRAPHIC SIGNALS 273 10.4 MEASUREMENT TECHNIQUES 273 20.4.1
NOISE275 10.5 ANALYSIS 275 10.5.1 DENOISING AND DIMENSIONALITY REDUCTION
275 10.5.2 CONFIRMATORY ANALYSIS 283 11 PET AND FMRI 294 11.1
INTRODUCTION 294 11.2 BIOPHYSICS OF PET AND FMRI 295 11.2.1 PET 295
11.2.2 FMRI 295 11.2.3 NOISE SOURCES 296 11.3 EXPERIMENTAL OVERVIEW 297
11.3.1 EXPERIMENTAL PROTOCOLS 298 11.4 ANALYSIS 299 11.4.1 DATA
CONDITIONING 299 11.4.2 HARMONIE ANALYSIS 305 11.4.3 STATISTICAL
PARAMETRIC MAPPING 306 11.4.4 MULTIPLE HYPOTHESIS TESTS 310 11.4.5
ANATOMKAL CONSIDERATIONS 311 12 OPTICAL IMAGING 313 12.1 INTRODUCTION
313 12.2 BIOPHYSICAL CONSIDERATIONS 313 12.2.1 NOISE SOURCES 314 12.3
ANALYSIS 314 12.3.1 DIFFERENCE AND RATIO MAPS 315 12.3.2 MULTIVARIATE
METHODS 315 PART IV SPECIAL TOPICS 321 13 LOCAL REGRESSION AND
LIKELIHOOD 323 13.1 LOCAL REGRESSION 323 CONTENTS XXI 13.2 LOCAL
LIKELIHOOD 326 13.2.1 LOCAL LOGISTIC REGRESSION 327 13.2.2 LOCAL POISSON
REGRESSION 327 13.3 DENSITY ESTIMATION 328 13.4 MODEL ASSESSMENT AND
SELECTION 328 13.4.1 DEGREES OFFREEDOM 328 13.4.2 SELECTION OFTHE
BANDWIDTH AND POLYNOMIAL DEGREE 329 13.4.3 RESIDUAIS 331 13.4.4
CONFIDENCE INTERVALS 332 14 ENTROPY AND MUTUAL INFORMATION 333 14.1
ENTROPY AND MUTUAL INFORMATION FOR DISCRETE RANDOM VARIABLES 334 14.2
CONTINUOUS RANDOM VARIABLES 336 14.3 DISCRETE-VALUED DISCRETE-TIME
STOCHASTIC PROCESSES 337 14.4 CONTINUOUS-VALUED DISCRETE-TIME STOCHASTIC
PROCESSES 338 14.5 POINT PROCESSES 339 14.6 ESTIMATION METHODS 340
APPENDIX A: THE BANDWAGON BY C. E. SHANNON 343 APPENDIX B: TWO FAMOUS
PAPERS BY PETER ELIAS 345 PHOTOGRAPH CREDITS 347 BIBLIOGRAPHY 349 INDEX
363 XXII CONTENTS ,
|
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| indexdate | 2024-07-09T22:35:05Z |
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| isbn | 9780195178081 |
| language | English |
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| spelling | Mitra, Partha P. Verfasser aut Observed brain dynamics Partha P. Mitra, Hemant Bokil Oxford [u.a.] Oxford Univ. Press 2008 XXII, 381 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Elektroencephalographie (DE-588)4014254-1 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Nervennetz (DE-588)4041638-0 gnd rswk-swf Physiologie (DE-588)4045981-0 gnd rswk-swf Gehirn (DE-588)4019752-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Neurobiologie (DE-588)4041871-6 gnd rswk-swf Gehirn (DE-588)4019752-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Neurobiologie (DE-588)4041871-6 s Datenanalyse (DE-588)4123037-1 s Nervennetz (DE-588)4041638-0 s Elektroencephalographie (DE-588)4014254-1 s Physiologie (DE-588)4045981-0 s Bokil, Hemant Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020096117&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mitra, Partha P. Bokil, Hemant Observed brain dynamics Elektroencephalographie (DE-588)4014254-1 gnd Datenanalyse (DE-588)4123037-1 gnd Nervennetz (DE-588)4041638-0 gnd Physiologie (DE-588)4045981-0 gnd Gehirn (DE-588)4019752-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Neurobiologie (DE-588)4041871-6 gnd |
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| title | Observed brain dynamics |
| title_auth | Observed brain dynamics |
| title_exact_search | Observed brain dynamics |
| title_full | Observed brain dynamics Partha P. Mitra, Hemant Bokil |
| title_fullStr | Observed brain dynamics Partha P. Mitra, Hemant Bokil |
| title_full_unstemmed | Observed brain dynamics Partha P. Mitra, Hemant Bokil |
| title_short | Observed brain dynamics |
| title_sort | observed brain dynamics |
| topic | Elektroencephalographie (DE-588)4014254-1 gnd Datenanalyse (DE-588)4123037-1 gnd Nervennetz (DE-588)4041638-0 gnd Physiologie (DE-588)4045981-0 gnd Gehirn (DE-588)4019752-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Neurobiologie (DE-588)4041871-6 gnd |
| topic_facet | Elektroencephalographie Datenanalyse Nervennetz Physiologie Gehirn Mathematisches Modell Neurobiologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020096117&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT mitraparthap observedbraindynamics AT bokilhemant observedbraindynamics |