Tutorials in Mathematical Biosciences I
Borisyuk, Alla.
Tutorials in Mathematical Biosciences I Mathematical Neuroscience / [electronic resource] : by Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman. - X, 170 p. online resource. - Mathematical Biosciences Subseries, 1860 2524-6771 ; . - Mathematical Biosciences Subseries, 1860 .
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.
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.
9783540315445
10.1007/b102786 doi
Differential Equations.
Differential equations, partial.
Computer science--Mathematics.
Neurobiology.
Biology--Data processing.
Mathematical and Computational Biology.
Ordinary Differential Equations.
Partial Differential Equations.
Computational Mathematics and Numerical Analysis.
Neurobiology.
Computer Appl. in Life Sciences.
QH323.5 QH324.2-324.25
570.285
Tutorials in Mathematical Biosciences I Mathematical Neuroscience / [electronic resource] : by Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman. - X, 170 p. online resource. - Mathematical Biosciences Subseries, 1860 2524-6771 ; . - Mathematical Biosciences Subseries, 1860 .
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.
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.
9783540315445
10.1007/b102786 doi
Differential Equations.
Differential equations, partial.
Computer science--Mathematics.
Neurobiology.
Biology--Data processing.
Mathematical and Computational Biology.
Ordinary Differential Equations.
Partial Differential Equations.
Computational Mathematics and Numerical Analysis.
Neurobiology.
Computer Appl. in Life Sciences.
QH323.5 QH324.2-324.25
570.285