Tutorials in Mathematical Biosciences I

Mathematical Neuroscience

Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman (Autoren)

Buch | Softcover

X, 170 Seiten

2005
Springer Berlin (Verlag)
978-3-540-23858-4 (ISBN)

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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.

Preface.- A. Friedman: Introduction to Neurons.- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics.- B. Ermentrout: Neural Oscillators.- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.

From the reviews:

"Each paper ends with a valuable bibliography. The volume introduces some basic theories on computational neuroscience. I recommend this volume as a very good book in mathematical neurosciences." (Ioan A. Rus, Zentralblatt MATH, Vol. 1062 (13), 2005)

"The present volume, a collection of four articles, introduces some basic theories of mathematical and computational neuroscience. ... I found the book to be a very good tutorial in mathematical neuroscience, well written and organized. ... The core is a compilation of mathematical results from a rich bibliography ... . In conclusion, I strongly recommend this volume to any graduate student, postdoctoral fellow or researcher moving to the field of theoretical neuroscience." (Rodica Curtu, Mathematical Reviews, Issue 2007 d)

Erscheint lt. Verlag	18.2.2005
Reihe/Serie	Lecture Notes in Mathematics
Reihe/Serie	Mathematical Biosciences Subseries
Zusatzinfo	X, 170 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	272 g
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	anatomy • auditory system • Biomathematik • Computational Neuroscience • Cortex • Dynamical Systems • neural oscillations • neuronal dynamics • neurons • Ordinary differential equations • Partial differential equations • Physiology
ISBN-10	3-540-23858-1 / 3540238581
ISBN-13	978-3-540-23858-4 / 9783540238584
Zustand	Neuware