Tutorials in mathematical biosciences.
Contributors: Borisyuk, Alla.; Ohio State University. Mathematical Biosciences Institute.
Series: Lecture notes in mathematics -- 1860-; Lectures notes in mathematics (Springer-Verlag); Lecture notes in mathematics (Springer-Verlag) -- 1860.; Lecture notes in mathematics (Springer-Verlag) -- 1867.
Publisher: Springer
Published: 2005
Place of publication: Berlin; New York
Language: eng
Number of pages: 170
Subjects: Neurosciences -- Mathematics; Biomathematics; Computational neuroscience
Description: "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." -- Publisher.
Notes: "These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute."

"Mathematical biosciences subseries."

Includes bibliographical references and index.
Table of contents: title: I.; title: Mathematical neuroscience -- Alla Borisyuk ... [et al.] -- 2.; title: Mathematical modeling of calcium dynamics and signal transduction -- -- 3.; title: Cell cycle, proliferation, and cancer.