Tutorials in Mathematical Biosciences I - Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman

Tutorials in Mathematical Biosciences I

Mathematical Neuroscience
Buch | Softcover
X, 170 Seiten
2005 | 2005
Springer Berlin (Verlag)
978-3-540-23858-4 (ISBN)
53,49 inkl. MwSt
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
Mathematical Biosciences Subseries
Zusatzinfo X, 170 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 272 g
Themenwelt Informatik Weitere Themen Bioinformatik
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
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