Spiking neural networks: pattern formation and plasticity
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 131 S. Ill., graph. Darst. 30 cm |
Internformat
MARC
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| 245 | 1 | 0 | |a Spiking neural networks |b pattern formation and plasticity |c vorgelegt von Cornelia Petrović |
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Datensatz im Suchindex
| _version_ | 1804152128356220928 |
|---|---|
| adam_text | CONTENTS
PREFACE IX
1 MODELING NEURONAL DYNAMICS: A NON-EXHAUSTIVE OVERVIEW 1
1.1 NEURONS: SOME NEUROPHYSIOLOGICAL BASICS 1
1.1.1 STRUCTURE AND BASIC FUNCTIONS 1
1.1.2 IONS AS CHARGE CARRIERS 3
1.1.3 MEMBRANE POTENTIAL 3
1.1.4 SYNAPSES 6
1.1.5 ACTION POTENTIALS 8
1.2 SINGLE NEURON MODELS 11
1.2.1 EQUIVALENT CIRCUIT MODEL 11
1.2.2 HODGKIN-HUXLEY MODEL 12
1.2.3 MORRIS-LECAR MODEL 14
1.2.4 FITZHUGH-NAGUMO MODEL 19
1.2.5 LEAKY INTEGRATE-AND-FIRE MODEL 19
1.3 NEURAL POPULATIONS 21
2 THE LIGHTHOUSE MODEL 25
3 NEURAL PATTERN FORMATION: MULTI-BUMPS IN A SPIKING NEURAL NETWORK 29
3.1 THE MODEL EQUATIONS 30
3.2 LIMIT OF SLOW SYNAPSES: CONNECTION TO THE AMARI MODEL 32
3.3 SINGLE-BUMP SOLUTIONS IN THE QUASI-AMARI MODEL 33
3.4 BUMPS ON THE ONE-DIMENSIONAL LATTICE: BASIC DEFINITIONS 35
3.5 SINGLE-BUMP SOLUTIONS ON THE ONE-DIMENSIONAL LATTICE 36
3.5.1 EXISTENCE OF SINGLE-BUMP SOLUTIONS ON THE LATTICE 40
3.5.2 SHAPE OF SINGLE-BUMP SOLUTIONS ON THE LATTICE 44
3.5.3 STABILITY OF SINGLE-BUMP SOLUTIONS ON THE LATTICE 44
3.5.4 INFLUENCE OF THE FORM OF THE GAIN FUNCTION S(X,
9) 54
3.6 2-BUMP SOLUTIONS ON A ONE-DIMENSIONAL LATTICE 54
3.6.1 STABILITY OF 2-BUMP SOLUTIONS 57
3.7 N-BUMPS ON THE ONE-DIMENSIONAL LATTICE, N 3 63
3.8 BUMPS ON A TWO-DIMENSIONAL LATTICE 73
3.8.1 EXAMPLES FROM NUMERICAL SIMULATIONS IN TWO SPATIAL DIMENSIONS ...
73
3.8.2 ROTATIONALLY SYMMETRIC 1-BUMP SOLUTIONS ON A TWO-DIMENSIONAL
LATTICE 74
3.9 INITIATING AND TERMINATING BUMPS: SOME REMARKS 79
3.10 COMPARISON WITH [CC06]: A COMMENT 83
VII
HTTP://D-NB.INFO/1047733730
CONTENTS
4 SPIKE TIMING-DEPENDENT PLASTICITY 87
4.1 MODEL EQUATIONS 88
4.1.1 STDP RULE 88
4.1.2 N COUPLED LIGHTHOUSE NEURONS WITH PLASTIC SYNAPSES 90
4.2 SATURATION VALUES 90
4.2.1 CALCULATION OF THE SATURATION VALUES 90
4.2.2 STABILITY OF THE SATURATION VALUES 96
4.3 ILLUSTRATING EXAMPLES 99
4.4 GENERAL REMARKS 99
4.4.1 DISTRIBUTION OF THE SYNAPTIC WEIGHTS 99
4.4.2 INFLUENCE OF THE INITIAL SYNAPTIC WEIGHTS 101
4.4.3 INFLUENCE ON THE DENDRITIC CURRENTS - PLASTICITY INDUCED PATTERN
FOR
MATION 101
4.4.4 SWITCHING MECHANISM 109
5 CONCLUSIONS 113
LIST OF FIGURES 117
BIBLIOGRAPHY 122
LEBENSLAUF 133
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| any_adam_object | 1 |
| author | Petrović, Cornelia 1981- |
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| author_facet | Petrović, Cornelia 1981- |
| author_role | aut |
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| bvnumber | BV041805625 |
| ctrlnum | (OCoLC)879508527 (DE-599)DNB1047733730 |
| dewey-full | 530.15539 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15539 |
| dewey-search | 530.15539 |
| dewey-sort | 3530.15539 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| indexdate | 2024-07-10T01:05:47Z |
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| language | English |
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| spelling | Petrović, Cornelia 1981- Verfasser (DE-588)1047733722 aut Spiking neural networks pattern formation and plasticity vorgelegt von Cornelia Petrović 2013 X, 131 S. Ill., graph. Darst. 30 cm txt rdacontent n rdamedia nc rdacarrier Münster (Westfalen), Univ., Diss., 2014 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027251094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Petrović, Cornelia 1981- Spiking neural networks pattern formation and plasticity |
| subject_GND | (DE-588)4113937-9 |
| title | Spiking neural networks pattern formation and plasticity |
| title_auth | Spiking neural networks pattern formation and plasticity |
| title_exact_search | Spiking neural networks pattern formation and plasticity |
| title_full | Spiking neural networks pattern formation and plasticity vorgelegt von Cornelia Petrović |
| title_fullStr | Spiking neural networks pattern formation and plasticity vorgelegt von Cornelia Petrović |
| title_full_unstemmed | Spiking neural networks pattern formation and plasticity vorgelegt von Cornelia Petrović |
| title_short | Spiking neural networks |
| title_sort | spiking neural networks pattern formation and plasticity |
| title_sub | pattern formation and plasticity |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027251094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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