Download e-book for iPad: Analysis and Modeling of Neural Systems by George L. Gerstein (auth.), Frank H. Eeckman (eds.)

By George L. Gerstein (auth.), Frank H. Eeckman (eds.)

ISBN-10: 146136793X

ISBN-13: 9781461367932

ISBN-10: 1461540100

ISBN-13: 9781461540106

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In "Handbook of Physiology - The Nervous System", (ed. J. M. Brookhart and V. B. Mountcastle), Vol. 'l, Chap. 3, pp. 39-97. Am. Physiol. , Bethesda, Maryland. [21] Rinzel, J. (1985). Bursting oscillations in an excitable membrane model. In "Ordinary and Partial Differential Equatons", (ed B. D. Sleeman and R. J. Jarvis), pp. 304-316. Springer-Verlag, New York. [22] Rinzel, J. (1987). A formal classification of bursting mechanisms in excitable systems. In "Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences," Lecture Notes in Biomathematics 71, (ed E.

1990). Bursting-beating chaos by two func- tionally distinct inward current inactivations in excitable cells. In "Mathematical Approaches to Cardiac Arrhythmias- (ed. J. Jalife). pp. 328-350. New York Academy of Sciences, New York. [81 Eddlestone, G. , Bangham, J. , and Rojas, E. (1984) Electrical coupling between cells in islets of Langerhans in mouse J. Membrane BioI. 77, 1-14. [91 FitzHugh, R. (1961). Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1,445-466.

From our modeling of this system we have developed some insights into bursting and coupling mechanisms that are more widely applicable. Hence, we use the ,B-cell system also to illustrate here our broader understanding. In particular, we describe a general framework for studying models of bursting. By identifying and dissecting the fast and slow processes involved in spike 30 generation and in slow modulation of spiking, respectively, we can show how they interact to create the burst pattern. The basic results of our mathematical approach are presented graphically and without detailed analytic formulas.

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Analysis and Modeling of Neural Systems by George L. Gerstein (auth.), Frank H. Eeckman (eds.)


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