Dynamics of small neural populations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | Centre de Recherches Mathématiques <Montréal>: CRM Monograph series
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 125 S. Ill., graph. Darst. |
| ISBN: | 0821804588 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
List of Figures xi
List of Tables xv
Preface xvii
Chapter 1. Introduction 1
1.1. Small Neural Populations 2
1.2. Delay Differential Equations 2
1.3. Experiment and Theory 5
1.4. Nonlinear Science 6
1.5. Noise 8
Chapter 2. Input Output Relationships 11
2.1. Neurophysiological Considerations 12
2.2. Integrate and Fire Neurons 15
2.3. The Frequency Dilemma 17
Chapter 3. Chance or Chaos? 21
3.1. Mathematical Preliminaries 22
3.2. Exponential Densities 25
3.3. Survival Times 27
3.4. Chaotic versus Stochastic? 30
Chapter 4. Recurrent Inhibition 33
4.1. a Motoneuron Spike Trains 33
4.2. Inhibitory Loops in the Hippocampus 35
4.3. M H Model 36
4.4. Simplification of M H Model 38
4.5. Analysis of M H Model 40
4.6. Model versus Observation 41
4.7. Spike Timing 44
Chapter 5. Negative Feedback Control 47
5.1. Pupil Light Reflex 48
5.2. L M Model 50
5.3. Clamped Pupil Light Reflex 54
5.4. Second Order DDEs 60
5.5. PLR Models 65
Chapter 6. Complex Neural Dynamics 69
ix
x CONTENTS
6.1. Neural Dynamics 71
6.2. Neural Bifurcations 71
6.3. Piecewise Constant Mixed Feedback 72
6.4. Noise or Chaos? 74
6.5. Bistability 77
6.6. Multistability 77
6.7. Experimental Woes 79
Chapter 7. Noise and Neural Dynamics 81
7.1. Noise 82
7.2. Measurement Noise 82
7.3. Critical Slowing Down Phenomena 83
7.4. Noise Amplification 84
7.5. Noise and Oscillation Onset 87
7.6. Stochastic Resonance 88
7.7. Comments 93
Chapter 8. Neural Populations 95
8.1. Neural Traveling Waves 96
8.2. Neural Connectivity 96
8.3. Integrate and Fire Neural Networks 97
8.4. Neural Continuum Equations 99
8.5. Neural Network Equations 102
8.6. Neural Coupled Map Lattices 104
8.7. Experimental Issues 105
8.8. Densities 106
8.9. Cortical Waves? 108
Chapter 9. Concluding Remarks 111
Appendix A. Poisson Processes 113
Bibliography 115
|
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| id | DE-604.BV011336931 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:08:01Z |
| institution | BVB |
| isbn | 0821804588 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007616597 |
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| physical | XVIII, 125 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Centre de Recherches Mathématiques <Montréal>: CRM Monograph series |
| series2 | Centre de Recherches Mathématiques <Montréal>: CRM Monograph series |
| spelling | Milton, John 1950- Verfasser (DE-588)123976294 aut Dynamics of small neural populations John Milton Providence, RI American Math. Soc. 1996 XVIII, 125 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Centre de Recherches Mathématiques <Montréal>: CRM Monograph series 7 Neuronen gtt Neurones - Modèles mathématiques Wiskundige modellen gtt Mathematisches Modell Neurons Mathematical models Korrelation (DE-588)4165343-9 gnd rswk-swf Nervenzelle (DE-588)4041649-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Nervennetz (DE-588)4041638-0 gnd rswk-swf Nervennetz (DE-588)4041638-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Nervenzelle (DE-588)4041649-5 s Korrelation (DE-588)4165343-9 s Centre de Recherches Mathématiques <Montréal>: CRM Monograph series 7 (DE-604)BV007928388 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007616597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Milton, John 1950- Dynamics of small neural populations Centre de Recherches Mathématiques <Montréal>: CRM Monograph series Neuronen gtt Neurones - Modèles mathématiques Wiskundige modellen gtt Mathematisches Modell Neurons Mathematical models Korrelation (DE-588)4165343-9 gnd Nervenzelle (DE-588)4041649-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nervennetz (DE-588)4041638-0 gnd |
| subject_GND | (DE-588)4165343-9 (DE-588)4041649-5 (DE-588)4114528-8 (DE-588)4041638-0 |
| title | Dynamics of small neural populations |
| title_auth | Dynamics of small neural populations |
| title_exact_search | Dynamics of small neural populations |
| title_full | Dynamics of small neural populations John Milton |
| title_fullStr | Dynamics of small neural populations John Milton |
| title_full_unstemmed | Dynamics of small neural populations John Milton |
| title_short | Dynamics of small neural populations |
| title_sort | dynamics of small neural populations |
| topic | Neuronen gtt Neurones - Modèles mathématiques Wiskundige modellen gtt Mathematisches Modell Neurons Mathematical models Korrelation (DE-588)4165343-9 gnd Nervenzelle (DE-588)4041649-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nervennetz (DE-588)4041638-0 gnd |
| topic_facet | Neuronen Neurones - Modèles mathématiques Wiskundige modellen Mathematisches Modell Neurons Mathematical models Korrelation Nervenzelle Nervennetz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007616597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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