-
1
-
-
0019249588
-
The nature of the oscillatory behavior in electrical activity for the pancreatic beta cell
-
New York
-
Atwater, I., C. M. Dawson, A. Scott, G. Eddlestone and E. Rojas, The nature of the oscillatory behavior in electrical activity for the pancreatic beta cell, in Biochemistry and Biophysics of the Pancreatic Beta Cell, Georg Thieme, New York, 1980, pp. 100-107.
-
(1980)
Biochemistry and Biophysics of the Pancreatic Beta Cell, Georg Thieme
, pp. 100-107
-
-
Atwater, I.1
Dawson, C.M.2
Scott, A.3
Eddlestone, G.4
Rojas, E.5
-
2
-
-
0000465402
-
Singular perturbation of relaxed periodic orbits
-
Bonet, C., Singular perturbation of relaxed periodic orbits, J.D.E., 66(1987), pp. 301-339.
-
(1987)
J.D.E.
, vol.66
, pp. 301-339
-
-
Bonet, C.1
-
3
-
-
46549093797
-
Chaos in a three-variable model of an excitable cell
-
Chay, T. R., Chaos in a three-variable model of an excitable cell, Phys. D. 16(1985), pp. 233-242.
-
(1985)
Phys. D
, vol.16
, pp. 233-242
-
-
Chay, T.R.1
-
4
-
-
0020957719
-
Minimal model for membrane oscillations in the pancreatic β-cell
-
Chay, T. R. and Keizer, J., Minimal model for membrane oscillations in the pancreatic β-cell, J. Biophys., 42(1983), pp. 181-190.
-
(1983)
J. Biophys.
, vol.42
, pp. 181-190
-
-
Chay, T.R.1
Keizer, J.2
-
5
-
-
0022037388
-
Bursting, beating, and chaos in an excitable membrane model
-
Chay, T. R. and J. Rinzel, Bursting, beating, and chaos in an excitable membrane model, J. Biophys., 47(1985), pp. 357-366.
-
(1985)
J. Biophys.
, vol.47
, pp. 357-366
-
-
Chay, T.R.1
Rinzel, J.2
-
8
-
-
0028308861
-
A mathematical model that mimics the bursting oscillations in pancreatic β-cells
-
Deng, B., A mathematical model that mimics the bursting oscillations in pancreatic β-cells, Math. Biosciences 119(1993), pp. 241-250.
-
(1993)
Math. Biosciences
, vol.119
, pp. 241-250
-
-
Deng, B.1
-
9
-
-
21844517849
-
Constructing homoclinic orbits and chaos
-
Deng, B., Constructing homoclinic orbits and chaos, Int. J. Bif. and Chaos, 4(1994), pp. 823-841.
-
(1994)
Int. J. Bif. and Chaos
, vol.4
, pp. 823-841
-
-
Deng, B.1
-
10
-
-
21844510580
-
Constructing Lorenz type attractors through singular perturbations
-
Deng, B., Constructing Lorenz type attractors through singular perturbations, Int. J. Bif. and Chaos, 5(1995), pp. 1633-1642.
-
(1995)
Int. J. Bif. and Chaos
, vol.5
, pp. 1633-1642
-
-
Deng, B.1
-
11
-
-
0030093599
-
Spiral-plus-saddle attractors and elementary mechanisms for chaos generation
-
Deng, B., Spiral-plus-saddle attractors and elementary mechanisms for chaos generation, Int. J. Bif. and Chaos, 6(1996), pp. 513-527.
-
(1996)
Int. J. Bif. and Chaos
, vol.6
, pp. 513-527
-
-
Deng, B.1
-
12
-
-
0000553690
-
Folding at the genesis of chaos
-
ed. V. Lakshmikantham, Walter de Gruyter, Berlin/New York
-
Deng, B., Folding at the genesis of chaos, in Proceedings of the First World Congress of Nonlinear Analysts, ed. V. Lakshmikantham, Walter de Gruyter, pp. 3765-3777, Berlin/New York, 1996.
-
(1996)
Proceedings of the First World Congress of Nonlinear Analysts
, pp. 3765-3777
-
-
Deng, B.1
-
13
-
-
11844295560
-
Geometric singular perturbation theory for ordinary differential equations
-
Fenichel, N., Geometric singular perturbation theory for ordinary differential equations, J.D.E., 73(1979), pp. 309-353.
-
(1979)
J.D.E.
, vol.73
, pp. 309-353
-
-
Fenichel, N.1
-
14
-
-
0038395012
-
On bifurcations of maps of the interval
-
Guckenheimer, J., On bifurcations of maps of the interval, Invent. Math. 39(1977), pp. 165-178.
-
(1977)
Invent. Math.
, vol.39
, pp. 165-178
-
-
Guckenheimer, J.1
-
15
-
-
0023805174
-
Electrical activity and insulin release in pancreatic β-cells
-
Keizer, J., Electrical activity and insulin release in pancreatic β-cells, Math. Biosc., 90(1988), pp. 127-138.
-
(1988)
Math. Biosc.
, vol.90
, pp. 127-138
-
-
Keizer, J.1
-
16
-
-
0024323358
-
ATP-sensitive potassium channel and bursting in the pancreatic beta cell
-
Keizer, J. and Magnus, G., ATP-sensitive potassium channel and bursting in the pancreatic beta cell, J. Biophys., 56(1989), pp. 229-242.
-
(1989)
J. Biophys.
, vol.56
, pp. 229-242
-
-
Keizer, J.1
Magnus, G.2
-
18
-
-
0000117122
-
Bursting oscillations in an excitable membrane model
-
eds., B.D. Sleeman and R.J. Jarvis, Springer, New York
-
Rinzel, J., Bursting oscillations in an excitable membrane model, in Ordinary and Partial Differential Equations, eds., B.D. Sleeman and R.J. Jarvis, pp. 304-316, Springer, New York, 1985.
-
(1985)
Ordinary and Partial Differential Equations
, pp. 304-316
-
-
Rinzel, J.1
-
19
-
-
24844441872
-
Chaotic behavior in simple reaction systems
-
Rössler, O. E., Chaotic behavior in simple reaction systems, Z. Naturforsch., 31A(1976), pp. 259-264.
-
(1976)
Z. Naturforsch.
, vol.31 A
, pp. 259-264
-
-
Rössler, O.E.1
-
20
-
-
84985456277
-
Continuous chaos - Four prototype equations
-
Bifurcation Theory and Applications in Scientific Disciplines, ed. O. Gurel and O. E. Rössler
-
Rössler, O. E., Continuous chaos - four prototype equations, in Bifurcation Theory and Applications in Scientific Disciplines, ed. O. Gurel and O. E. Rössler, Annals of the New York Academy of Science # 316(1978), pp. 376-392.
-
(1978)
Annals of the New York Academy of Science
, vol.316
, pp. 376-392
-
-
Rössler, O.E.1
-
21
-
-
0009021792
-
Glucose dose response of pancreatic β-cells: Experimental and theoretical results
-
eds., C. Hidalgo, J. Bacigalupo, E. Jaimovich, and J. Vergara, Plenum Publishing Co
-
Sherman, A., P., Carroll, R. M. Santos and I. Atwater, Glucose dose response of pancreatic β-cells: experimental and theoretical results, in Transduction in Biological Systems, eds., C. Hidalgo, J. Bacigalupo, E. Jaimovich, and J. Vergara, pp. 123-141, Plenum Publishing Co, 1990.
-
(1990)
Transduction in Biological Systems
, pp. 123-141
-
-
Sherman, A.1
Carroll, P.2
Santos, R.M.3
Atwater, I.4
-
22
-
-
0026587453
-
2+ currents and bursting mechanisms for the mouse pancreatic beta-cell
-
2+ currents and bursting mechanisms for the mouse pancreatic beta-cell, J. Membrane Biol., 127(1992), pp. 9-19.
-
(1992)
J. Membrane Biol.
, vol.127
, pp. 9-19
-
-
Smolen, P.1
Keizer, J.2
-
23
-
-
0023791327
-
Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing
-
Sherman, A., Rinzel, J., and Keizer, J., Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing, J. Biophys., 54(1988), pp. 411-425.
-
(1988)
J. Biophys.
, vol.54
, pp. 411-425
-
-
Sherman, A.1
Rinzel, J.2
Keizer, J.3
-
24
-
-
0026239399
-
Chaotic spikes arising from a model of bursting in excitable membranes
-
Terman, D., Chaotic spikes arising from a model of bursting in excitable membranes, SIAM J. Appl. Math., 51(1991), pp. 1418-1450.
-
(1991)
SIAM J. Appl. Math.
, vol.51
, pp. 1418-1450
-
-
Terman, D.1
-
25
-
-
34249839599
-
The transition from bursting to continuous spiking in excitable membrane models
-
Terman, D., The transition from bursting to continuous spiking in excitable membrane models, J. Nonlinear Science, 2(1992), pp. 135-182.
-
(1992)
J. Nonlinear Science
, vol.2
, pp. 135-182
-
-
Terman, D.1
-
26
-
-
0001736010
-
Ocillatory and bursting properties of neurons
-
M. Arbib, ed., MIT Press
-
Wang, X.-J. and J. Rinzel, Ocillatory and bursting properties of neurons, The Handbook of Brain Theory and Neural Networks, M. Arbib, ed., pp. 686-691, MIT Press, 1995.
-
(1995)
The Handbook of Brain Theory and Neural Networks
, pp. 686-691
-
-
Wang, X.-J.1
Rinzel, J.2
|