Mathematical neuroscience:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Academic Press
2014
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables-such as synaptic or firing rate activity in populations of neurons -and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience. Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain. Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling |
| Beschreibung: | 1 Online-Ressource (1 online resource) |
| ISBN: | 1299804152 9781299804159 9780124114685 0124114687 |
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| 500 | |a Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables-such as synaptic or firing rate activity in populations of neurons -and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience. Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain. Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling | ||
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 612 - Human physiology |
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| dewey-sort | 3612.801 251 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizin |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:07Z |
| institution | BVB |
| isbn | 1299804152 9781299804159 9780124114685 0124114687 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027749859 |
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| physical | 1 Online-Ressource (1 online resource) |
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| spelling | Brzychczy, Stanisław Verfasser aut Mathematical neuroscience Stanisław Brzychczy, Roman R. Poznanski Amsterdam Academic Press 2014 1 Online-Ressource (1 online resource) txt rdacontent c rdamedia cr rdacarrier Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables-such as synaptic or firing rate activity in populations of neurons -and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience. Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain. Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling Neurosciences Mathematics Models, Neurological Neurosciences / Mathematics fast Mathematik Neurosciences Mathematics Poznanski, Roman R. Sonstige oth http://www.sciencedirect.com/science/book/9780124114685 Verlag Volltext |
| spellingShingle | Brzychczy, Stanisław Mathematical neuroscience Neurosciences Mathematics Models, Neurological Neurosciences / Mathematics fast Mathematik Neurosciences Mathematics |
| title | Mathematical neuroscience |
| title_auth | Mathematical neuroscience |
| title_exact_search | Mathematical neuroscience |
| title_full | Mathematical neuroscience Stanisław Brzychczy, Roman R. Poznanski |
| title_fullStr | Mathematical neuroscience Stanisław Brzychczy, Roman R. Poznanski |
| title_full_unstemmed | Mathematical neuroscience Stanisław Brzychczy, Roman R. Poznanski |
| title_short | Mathematical neuroscience |
| title_sort | mathematical neuroscience |
| topic | Neurosciences Mathematics Models, Neurological Neurosciences / Mathematics fast Mathematik Neurosciences Mathematics |
| topic_facet | Neurosciences Mathematics Models, Neurological Neurosciences / Mathematics Mathematik Neurosciences Mathematics |
| url | http://www.sciencedirect.com/science/book/9780124114685 |
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