Waves in neural media: from single neurons to neural fields
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2014
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| Schriftenreihe: | Lecture notes on mathematical modelling in the life sciences
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| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461488668 |
| DOI: | 10.1007/978-1-4614-8866-8 |
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Datensatz im Suchindex
| _version_ | 1804151630844657664 |
|---|---|
| adam_text | WAVES IN NEURAL MEDIA
/ BRESSLOFF, PAUL C.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
PART I NEURONS
SINGLE NEURON MODELING
TRAVELING WAVES IN ONE-DIMENSIONAL EXCITABLE MEDIA
WAVE PROPAGATION ALONG SPINY DENDRITES
CALCIUM WAVES AND SPARKS
PART II NETWORKS
WAVES IN SYNAPTICALLY-COUPLED SPIKING NETWORKS
POPULATION MODELS AND NEURAL FIELDS
WAVES IN EXCITABLE NEURAL FIELDS
NEURAL FIELD MODEL OF BINOCULAR RIVALRY WAVES
PART III DEVELOPMENT AND DISEASE
WAVES IN THE DEVELOPING AND THE DISEASED BRAIN
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
WAVES IN NEURAL MEDIA
/ BRESSLOFF, PAUL C.
: 2014
ABSTRACT / INHALTSTEXT
WAVES IN NEURAL MEDIA: FROM SINGLE CELLS TO NEURAL FIELDS SURVEYS
MATHEMATICAL MODELS OF TRAVELING WAVES IN THE BRAIN, RANGING FROM
INTRACELLULAR WAVES IN SINGLE NEURONS TO WAVES OF ACTIVITY IN
LARGE-SCALE BRAIN NETWORKS. THE WORK PROVIDES A PEDAGOGICAL ACCOUNT OF
ANALYTICAL METHODS FOR FINDING TRAVELING WAVE SOLUTIONS OF THE VARIETY
OF NONLINEAR DIFFERENTIAL EQUATIONS THAT ARISE IN SUCH MODELS. THESE
INCLUDE REGULAR AND SINGULAR PERTURBATION METHODS, WEAKLY NONLINEAR
ANALYSIS, EVANS FUNCTIONS AND WAVE STABILITY, HOMOGENIZATION THEORY AND
AVERAGING, AND STOCHASTIC PROCESSES. ALSO COVERED IN THE TEXT ARE EXACT
METHODS OF SOLUTION WHERE APPLICABLE. HISTORICALLY SPEAKING, THE
PROPAGATION OF ACTION POTENTIALS HAS INSPIRED NEW MATHEMATICS,
PARTICULARLY WITH REGARD TOTHE PDE THEORY OF WAVES IN EXCITABLE MEDIA.
MORE RECENTLY, CONTINUUM NEURAL FIELD MODELS OF LARGE-SCALE BRAIN
NETWORKS HAVE GENERATED A NEW SET OF INTERESTING MATHEMATICAL QUESTIONS
WITH REGARD TOTHE SOLUTION OF NONLOCAL INTEGRO-DIFFERENTIAL
EQUATIONS. ADVANCED GRADUATES, POSTDOCTORAL RESEARCHERS AND FACULTY
WORKING IN MATHEMATICAL BIOLOGY, THEORETICAL NEUROSCIENCE, OR APPLIED
NONLINEAR DYNAMICS WILL FIND THIS BOOK TO BE A VALUABLE RESOURCE. THE
MAIN PREREQUISITES ARE AN INTRODUCTORY GRADUATE COURSE ON ORDINARY
DIFFERENTIAL EQUATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, MAKING THIS
AN ACCESSIBLE AND UNIQUE CONTRIBUTION TO THE FIELD OF MATHEMATICAL
BIOLOGY.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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| spelling | Bressloff, Paul C. Verfasser aut Waves in neural media from single neurons to neural fields Paul C. Bressloff New York [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Lecture notes on mathematical modelling in the life sciences Mathematik Neurosciences Differential Equations Physiology / Mathematics Distribution (Probability theory) Mathematics Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Neurobiologie (DE-588)4041871-6 gnd rswk-swf Neurobiologie (DE-588)4041871-6 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-4614-8865-1 https://doi.org/10.1007/978-1-4614-8866-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931295&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bressloff, Paul C. Waves in neural media from single neurons to neural fields Mathematik Neurosciences Differential Equations Physiology / Mathematics Distribution (Probability theory) Mathematics Numerisches Verfahren (DE-588)4128130-5 gnd Neurobiologie (DE-588)4041871-6 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4041871-6 |
| title | Waves in neural media from single neurons to neural fields |
| title_auth | Waves in neural media from single neurons to neural fields |
| title_exact_search | Waves in neural media from single neurons to neural fields |
| title_full | Waves in neural media from single neurons to neural fields Paul C. Bressloff |
| title_fullStr | Waves in neural media from single neurons to neural fields Paul C. Bressloff |
| title_full_unstemmed | Waves in neural media from single neurons to neural fields Paul C. Bressloff |
| title_short | Waves in neural media |
| title_sort | waves in neural media from single neurons to neural fields |
| title_sub | from single neurons to neural fields |
| topic | Mathematik Neurosciences Differential Equations Physiology / Mathematics Distribution (Probability theory) Mathematics Numerisches Verfahren (DE-588)4128130-5 gnd Neurobiologie (DE-588)4041871-6 gnd |
| topic_facet | Mathematik Neurosciences Differential Equations Physiology / Mathematics Distribution (Probability theory) Mathematics Numerisches Verfahren Neurobiologie |
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