Tutorials in Mathematical Biosciences I: Mathematical Neuroscience

ISBN-13: 9783540238584 / Angielski / Miękka / 2005 / 170 str.

Alla Borisyuk;G. Bard Ermentrout;Avner Friedman

Opis

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 the bifurcation theory, oriented toward neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed ghroughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory of 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 which connects the hair cells to the cortex, and describes various models of subsystems.

Recenzje

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)

Spis treści

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.