Topological and phenomenological classification of bursting oscillations.
暂无分享,去创建一个
R. Bertram | T. Kiemel | A. Sherman | M. Butte | R Bertram | M J Butte | T Kiemel | A Sherman
[1] O. Masory,et al. Numerical Integration of Ordinary Differential Equations , 2009 .
[2] A. Sherman,et al. Phase independent resetting in relaxation and bursting oscillators. , 1994, Journal of theoretical biology.
[3] Mark Pernarowski,et al. Fast Subsystem Bifurcations in a Slowly Varying Liénard System Exhibiting Bursting , 1994, SIAM J. Appl. Math..
[4] S. Gueron,et al. Mapping the dynamics of a bursting neuron. , 1993, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.
[5] D. A. Baxter,et al. Nonlinear dynamics in a model neuron provide a novel mechanism for transient synaptic inputs to produce long-term alterations of postsynaptic activity. , 1993, Journal of neurophysiology.
[6] R. North,et al. Burst firing in dopamine neurons induced by N-methyl-D-aspartate: role of electrogenic sodium pump. , 1992, Science.
[7] J. Rinzel,et al. Rhythmogenic effects of weak electrotonic coupling in neuronal models. , 1992, Proceedings of the National Academy of Sciences of the United States of America.
[8] J. Byrne,et al. Simulation of the bursting activity of neuron R15 in Aplysia: role of ionic currents, calcium balance, and modulatory transmitters. , 1991, Journal of neurophysiology.
[9] J. Rinzel,et al. A model of the T-type calcium current and the low-threshold spike in thalamic neurons. , 1991, Journal of neurophysiology.
[10] R. Traub,et al. A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. , 1991, Journal of neurophysiology.
[11] J. Rinzel,et al. The slow passage through a Hopf bifurcation: delay, memory effects, and resonance , 1989 .
[12] Teresa Ree Chay,et al. Endogenous Bursting Patterns in Excitable Cells , 1988 .
[13] J. Rinzel,et al. Dissection of a model for neuronal parabolic bursting , 1987, Journal of mathematical biology.
[14] R. Harris-Warrick,et al. Multiple mechanisms of bursting in a conditional bursting neuron , 1987, The Journal of neuroscience : the official journal of the Society for Neuroscience.
[15] Stephen Schecter,et al. The saddle-node separatrix-loop bifurcation , 1987 .
[16] M. Pirchio,et al. The ventral and dorsal lateral geniculate nucleus of the rat: intracellular recordings in vitro. , 1987, The Journal of physiology.
[17] John Guckenheimer,et al. Multiple bifurcation problems for chemical reactors , 1986 .
[18] G. Ermentrout,et al. Parabolic bursting in an excitable system coupled with a slow oscillation , 1986 .
[19] J. Hindmarsh,et al. A model of neuronal bursting using three coupled first order differential equations , 1984, Proceedings of the Royal Society of London. Series B. Biological Sciences.
[20] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[21] M. Steriade,et al. Thalamic bursting mechanism: an inward slow current revealed by membrane hyperpolarization , 1982, Brain Research.
[22] John Rinzel,et al. Bursting phenomena in a simplified Oregonator flow system model , 1982 .
[23] J. L. Hudson,et al. An experimental study of multiple peak periodic and nonperiodic oscillations in the Belousov–Zhabotinskii reaction , 1979 .
[24] M. Kim,et al. Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations. , 1976, Biophysical journal.
[25] P M Dean,et al. Glucose‐induced electrical activity in pancreatic islet cells , 1970, The Journal of physiology.
[26] B. O. Alving. Spontaneous Activity in Isolated Somata of Aplysia Pacemaker Neurons , 1968, The Journal of general physiology.
[27] R. FitzHugh. Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.
[28] G. Dahlquist. Convergence and stability in the numerical integration of ordinary differential equations , 1956 .
[29] J. Sotomayor,et al. GENERIC 3-PARAMETER FAMILIES OF PLANAR VECTOR-FIELDS, UNFOLDINGS OF SADDLE, FOCUS AND ELLIPTIC-SINGULARITIES WITH NILPOTENT LINEAR PARTS , 1991 .
[30] F. Ashcroft,et al. Electrophysiology of the pancreatic beta-cell. , 1989, Progress in biophysics and molecular biology.
[31] John Rinzel,et al. A Formal Classification of Bursting Mechanisms in Excitable Systems , 1987 .
[32] John Rinzel,et al. Bursting oscillations in an excitable membrane model , 1985 .
[33] P. Holmes,et al. Local Codimension Two Bifurcations of Flows , 1983 .
[34] S. Levin. Lectu re Notes in Biomathematics , 1983 .
[35] R K Wong,et al. Afterpotential generation in hippocampal pyramidal cells. , 1981, Journal of neurophysiology.
[36] C. A. G. Wiersma,et al. Invertebrate nervous systems : their significance for mammalian neurophysiology , 1967 .
[37] Peter Fgldibk,et al. Library of Congress Cataloging-in-publication Data Sparse Coding in the Primate Cortex , 2022 .