TY - BOOK AU - Borisyuk,Alla AU - Friedman,Avner AU - Ermentrout,Bard AU - Terman,David ED - SpringerLink (Online service) TI - Tutorials in Mathematical Biosciences I: Mathematical Neuroscience T2 - Lecture Notes in Mathematics, Mathematical Biosciences, SN - 9783540315445 AV - QH323.5 U1 - 570.151 23 PY - 2005/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Biology KW - Data processing KW - Neurobiology KW - Differential Equations KW - Differential equations, partial KW - Computer science KW - Mathematical Biology in General KW - Ordinary Differential Equations KW - Partial Differential Equations KW - Computational Mathematics and Numerical Analysis KW - Computer Appl. in Life Sciences N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/b102786 ER -