Bertram R, Rhoads J, Cimbora WP. (2008). A phantom bursting mechanism for episodic bursting. Bulletin of mathematical biology. 70 [PubMed]

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References and models cited by this paper

Alving BO. (1968). Spontaneous activity in isolated somata of Aplysia pacemaker naurons. The Journal of general physiology. 51 [PubMed]

Atwater I, Rosario L, Rojas E. (1983). Properties of the Ca-activated K+ channel in pancreatic beta-cells. Cell calcium. 4 [PubMed]

Bertram R, Butte MJ, Kiemel T, Sherman A. (1995). Topological and phenomenological classification of bursting oscillations. Bulletin of mathematical biology. 57 [PubMed]

Bertram R, Previte J, Sherman A, Kinard TA, Satin LS. (2000). The phantom burster model for pancreatic beta-cells. Biophysical journal. 79 [PubMed]

Bertram R, Satin L, Zhang M, Smolen P, Sherman A. (2004). Calcium and glycolysis mediate multiple bursting modes in pancreatic islets. Biophysical journal. 87 [PubMed]

Bertram R, Sherman A. (2004). A calcium-based phantom bursting model for pancreatic islets. Bulletin of mathematical biology. 66 [PubMed]

Bertram R, Sherman A, Satin LS. (2007). Metabolic and electrical oscillations: partners in controlling pulsatile insulin secretion. American journal of physiology. Endocrinology and metabolism. 293 [PubMed]

Bressloff PC, Coombes S. (2005). Bursting: The genesis of rhythm in the nervous system.

Chay TR, Kang HS. (1988). Role of single-channel stochastic noise on bursting clusters of pancreatic beta-cells. Biophysical journal. 54 [PubMed]

Chay TR, Keizer J. (1983). Minimal model for membrane oscillations in the pancreatic beta-cell. Biophysical journal. 42 [PubMed]

Chay TR, Rinzel J. (1985). Bursting, beating, and chaos in an excitable membrane model. Biophysical journal. 47 [PubMed]

Crunelli V, Kelly JS, Leresche N, Pirchio M. (1987). The ventral and dorsal lateral geniculate nucleus of the rat: intracellular recordings in vitro. The Journal of physiology. 384 [PubMed]

De Vries G, Sherman A. (2000). Channel sharing in pancreatic beta -cells revisited: enhancement of emergent bursting by noise. Journal of theoretical biology. 207 [PubMed]

Dean PM, Matthews EK. (1970). Glucose-induced electrical activity in pancreatic islet cells. J Physiol. 210

Del Negro CA, Hsiao CF, Chandler SH, Garfinkel A. (1998). Evidence for a novel bursting mechanism in rodent trigeminal neurons. Biophysical journal. 75 [PubMed]

Ermentrout GB. (2002). Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM).

Fox RF. (1997). Stochastic versions of the Hodgkin-Huxley equations. Biophysical journal. 72 [PubMed]

Henquin JC, Meissner HP, Schmeer W. (1982). Cyclic variations of glucose-induced electrical activity in pancreatic B cells. Pflugers Archiv : European journal of physiology. 393 [PubMed]

Kinard TA, de Vries G, Sherman A, Satin LS. (1999). Modulation of the bursting properties of single mouse pancreatic beta-cells by artificial conductances. Biophysical journal. 76 [PubMed]

Kuehl-Kovarik MC et al. (2002). Episodic bursting activity and response to excitatory amino acids in acutely dissociated gonadotropin-releasing hormone neurons genetically targeted with green fluorescent protein. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Pedersen MG. (2007). Phantom bursting is highly sensitive to noise and unlikely to account for slow bursting in beta-cells: considerations in favor of metabolically driven oscillations. Journal of theoretical biology. 248 [PubMed]

Rinzel J. (1985). Bursting oscillations in an excitable membrane model, in ordinary and partial differential equations New Lecture Notes in Mathematics. 1151

Rinzel J. (1987). A formal classification of bursting mechanisms in excitable systems. Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences.. 71

Rinzel J, Baer SM, Erneux T. (1989). The slow passage through Hopf bifurcation: delay, memory ecects, and resonance. J Appl Math. 49

Rinzel J, Ermentrout B. (1998). Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition.

Rinzel J, Smolen P, Terman D. (1993). Properties of a bursting model with two slow inhibitory variables SIAM J App Math. 53

Sherman A, Rinzel J, Keizer J. (1988). Emergence of organized bursting in clusters of pancreatic beta-cells by channel sharing. Biophysical journal. 54 [PubMed]

Stojilković SS, Kukuljan M, Iida T, Rojas E, Catt KJ. (1992). Integration of cytoplasmic calcium and membrane potential oscillations maintains calcium signaling in pituitary gonadotrophs. Proceedings of the National Academy of Sciences of the United States of America. 89 [PubMed]

Suter KJ, Wuarin JP, Smith BN, Dudek FE, Moenter SM. (2000). Whole-cell recordings from preoptic/hypothalamic slices reveal burst firing in gonadotropin-releasing hormone neurons identified with green fluorescent protein in transgenic mice. Endocrinology. 141 [PubMed]

Terman D. (1992). The transition from bursting to continuous spiking in excitable membrane models J Nonlinear Sci. 2

Tornheim K. (1997). Are metabolic oscillations responsible for normal oscillatory insulin secretion? Diabetes. 46 [PubMed]

Wong RK, Prince DA. (1981). Afterpotential generation in hippocampal pyramidal cells. Journal of neurophysiology. 45 [PubMed]

Zhang M, Goforth P, Bertram R, Sherman A, Satin L. (2003). The Ca2+ dynamics of isolated mouse beta-cells and islets: implications for mathematical models. Biophysical journal. 84 [PubMed]

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