Mathematical neuroscience /
Mathematical neuroscience /
Alla Borisyuk [and others].
- Berlin ; New York : Springer, ©2005.
- 1 online resource (ix, 170 pages) : illustrations (some color)
- Tutorials in mathematical biosciences ; I Lecture notes in mathematics ; 1860 .
- Tutorials in mathematical biosciences ; 1. Lecture notes in mathematics (Springer-Verlag) ; 1860. Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries. .
"These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface.
Includes bibliographical references and index.
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
English.
3540238581 9783540238584 9783540315445 3540315446 9786611401757 661140175X
10.1007/b102786 doi
978-3-540-23858-4 Springer http://www.springerlink.com
2004117383
101246070 DNLM
Neurosciences--Mathematics.
Computational neuroscience.
Neurosciences.
Neural circuitry.
Nervous system.
Biological models.
Life sciences.
Physical sciences.
Mathematical models.
Anatomy.
Neurosciences
Models, Neurological
Nerve Net
Nervous System
Models, Biological
Biological Science Disciplines
Natural Science Disciplines
Models, Theoretical
Anatomy
Investigative Techniques
Disciplines and Occupations
Analytical, Diagnostic and Therapeutic Techniques and Equipment
Neurosciences--Mathématiques.
Neurosciences informatiques.
Neurosciences.
Réseaux nerveux.
Système nerveux.
Modèles biologiques.
Sciences de la vie.
Sciences physiques.
Modèles mathématiques.
Anatomie.
biological sciences.
physical sciences.
mathematical models.
anatomy.
Neurociencias--Matemáticas
Physical sciences
Neurosciences
Neural circuitry
Nervous system
Mathematical models
Life sciences
Biological models
Anatomy
Computational neuroscience
Neurosciences--Mathematics
Biology - General.
Mathematical Theory.
Mathematics.
Biology.
Physical Sciences & Mathematics.
Health & Biological Sciences.
Neural circuitry--Mathematical models.
Auditory pathways.
QA3 / .L28 no. 1860
510 s 612.8/0151
WL 100 / T966 2005
"These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface.
Includes bibliographical references and index.
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
English.
3540238581 9783540238584 9783540315445 3540315446 9786611401757 661140175X
10.1007/b102786 doi
978-3-540-23858-4 Springer http://www.springerlink.com
2004117383
101246070 DNLM
Neurosciences--Mathematics.
Computational neuroscience.
Neurosciences.
Neural circuitry.
Nervous system.
Biological models.
Life sciences.
Physical sciences.
Mathematical models.
Anatomy.
Neurosciences
Models, Neurological
Nerve Net
Nervous System
Models, Biological
Biological Science Disciplines
Natural Science Disciplines
Models, Theoretical
Anatomy
Investigative Techniques
Disciplines and Occupations
Analytical, Diagnostic and Therapeutic Techniques and Equipment
Neurosciences--Mathématiques.
Neurosciences informatiques.
Neurosciences.
Réseaux nerveux.
Système nerveux.
Modèles biologiques.
Sciences de la vie.
Sciences physiques.
Modèles mathématiques.
Anatomie.
biological sciences.
physical sciences.
mathematical models.
anatomy.
Neurociencias--Matemáticas
Physical sciences
Neurosciences
Neural circuitry
Nervous system
Mathematical models
Life sciences
Biological models
Anatomy
Computational neuroscience
Neurosciences--Mathematics
Biology - General.
Mathematical Theory.
Mathematics.
Biology.
Physical Sciences & Mathematics.
Health & Biological Sciences.
Neural circuitry--Mathematical models.
Auditory pathways.
QA3 / .L28 no. 1860
510 s 612.8/0151
WL 100 / T966 2005