Tutorials in mathematical biosciences. I, Mathematical neuroscience / Alla Borisyuk [and others].
Contributor(s): Borisyuk, AllaMaterial type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1860.; Lecture notes in mathematics (Springer-Verlag): Publisher: Berlin ; New York : Springer, ©2005Description: 1 online resource (ix, 170 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 3540238581; 9783540238584; 9783540315445; 3540315446; 9786611401757; 661140175XOther title: Mathematical neuroscienceSubject(s): Neurosciences -- Mathematics | Computational neuroscience | Neurosciences | Models, Neurological | Nerve Net | Nervous System | Models, Biological | Biological Science Disciplines | Natural Science Disciplines | Models, Theoretical | Anatomy | Investigative Techniques | Disciplines and Occupations | Analytical, Diagnostic and Therapeutic Techniques and Equipment | Neurosciences -- Mathématiques | Neurosciences informatiques | Computational neuroscience | Neurosciences -- Mathematics | Biology - General | Mathematical Theory | Mathematics | Biology | Physical Sciences & Mathematics | Health & Biological SciencesGenre/Form: Electronic books. Additional physical formats: Print version:: Mathematical neuroscience.DDC classification: 510 s | 612.8/0151 LOC classification: QA3 | .L28 no. 1860Online resources: Click here to access online
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Includes bibliographical references and index.
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.
V. 1. Mathematical neuroscience -- v. 2. Mathematical modeling of calcium dynamics and signal transducion -- v. 3. Cell cycle, proliferation, and cancer.