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Volumn 67, Issue 2, 2006, Pages 530-542

The effect of noise on β-cell burst period

Author keywords

Bursting oscillations; Stochastic bifurcations; Stochastic Melnikov method

Indexed keywords

BIFURCATION (MATHEMATICS); CYTOLOGY; ENDOCRINOLOGY; NEUROLOGY; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE;

EID: 34247628855     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060655663     Document Type: Article
Times cited : (24)

References (24)
  • 1
    • 42749103603 scopus 로고    scopus 로고
    • Analysis of the noise-induced burstingspiking transition in a pancreatic beta-cell model
    • J. AGUIRRE, E. MOSEKILDE, AND M. A. SANJUAN, Analysis of the noise-induced burstingspiking transition in a pancreatic beta-cell model, Phys. Rev. E (3), 69 (2004), 041910.
    • (2004) Phys. Rev. E , vol.69 , Issue.3 , pp. 041910
    • AGUIRRE, J.1    MOSEKILDE, E.2    SANJUAN, M.A.3
  • 2
    • 0024917106 scopus 로고
    • Electrophysiology of the pancreatic β-cell
    • F. M. ASHCROFT AND P. RORSMAN, Electrophysiology of the pancreatic β-cell, Prog. Biophys. Mol. Biol., 54 (1989), pp. 87-143.
    • (1989) Prog. Biophys. Mol. Biol , vol.54 , pp. 87-143
    • ASHCROFT, F.M.1    RORSMAN, P.2
  • 3
    • 0021019170 scopus 로고
    • Properties of the Ca-activated K+ channel in pancreatic beta-cells
    • I. ATWATER, L. ROSARIO, AND E. ROJAS, Properties of the Ca-activated K+ channel in pancreatic beta-cells, Cell Calcium, 4 (1983), pp. 451-461.
    • (1983) Cell Calcium , vol.4 , pp. 451-461
    • ATWATER, I.1    ROSARIO, L.2    ROJAS, E.3
  • 4
    • 0023751870 scopus 로고
    • Role of single-channel stochastic noise on bursting clusters of pancreatic β-cells
    • T. R. CHAY AND H. S. KANG, Role of single-channel stochastic noise on bursting clusters of pancreatic β-cells, Biophys. J., 54 (1988), pp. 427-435.
    • (1988) Biophys. J , vol.54 , pp. 427-435
    • CHAY, T.R.1    KANG, H.S.2
  • 5
    • 0347802074 scopus 로고    scopus 로고
    • Multiple bifurcations in a polynomial model of bursting oscillations
    • G. DE VRIES, Multiple bifurcations in a polynomial model of bursting oscillations, J. Nonlinear Sci., 8 (1998), pp. 281-316.
    • (1998) J. Nonlinear Sci , vol.8 , pp. 281-316
    • DE VRIES, G.1
  • 6
    • 0034700423 scopus 로고    scopus 로고
    • Channel sharing in pancreatic β-cells revisited: Enhancement of emergent bursting by noise
    • G. DE VRIES AND A. SHERMAN, Channel sharing in pancreatic β-cells revisited: Enhancement of emergent bursting by noise, J. Theoret. Biol., 207 (2000), pp. 513-530.
    • (2000) J. Theoret. Biol , vol.207 , pp. 513-530
    • DE VRIES, G.1    SHERMAN, A.2
  • 7
    • 0034968760 scopus 로고    scopus 로고
    • From spikers to bursters via coupling: Help from heterogeneity
    • G. DE VRIES AND A. SHERMAN, From spikers to bursters via coupling: Help from heterogeneity, Bull. Math. Biol., 63 (2001), pp. 371-391.
    • (2001) Bull. Math. Biol , vol.63 , pp. 371-391
    • DE VRIES, G.1    SHERMAN, A.2
  • 8
    • 34247580398 scopus 로고    scopus 로고
    • B. ERMENTROUT, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, Software Environ. Tools 14, SIAM, Philadelphia, 2002.
    • B. ERMENTROUT, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, Software Environ. Tools 14, SIAM, Philadelphia, 2002.
  • 9
    • 11344281196 scopus 로고
    • Noise-induced chaos and phase space flux
    • M. FREY AND E. SIMIU, Noise-induced chaos and phase space flux, Phys. D, 63 (1993), pp. 321-340.
    • (1993) Phys. D , vol.63 , pp. 321-340
    • FREY, M.1    SIMIU, E.2
  • 11
    • 0033058934 scopus 로고    scopus 로고
    • Modulation of the bursting properties of single mouse pancreatic beta-cells by artificial conductances
    • T. A. KINARD, G. DE VRIES, A. SHERMAN, AND L. S. SATIN, Modulation of the bursting properties of single mouse pancreatic beta-cells by artificial conductances, Biophys. J., 76 (1999), pp. 1423-1435.
    • (1999) Biophys. J , vol.76 , pp. 1423-1435
    • KINARD, T.A.1    DE VRIES, G.2    SHERMAN, A.3    SATIN, L.S.4
  • 12
    • 0033245984 scopus 로고    scopus 로고
    • Probability densities for noisy delay bifurcations
    • R. KUSKE, Probability densities for noisy delay bifurcations, J. Statist. Phys., 96 (1999), pp. 797-816.
    • (1999) J. Statist. Phys , vol.96 , pp. 797-816
    • KUSKE, R.1
  • 13
    • 0036560602 scopus 로고    scopus 로고
    • Asymptotic analysis of noise sensitivity in a neuronal burster
    • R. KUSKE AND S. M. BAER, Asymptotic analysis of noise sensitivity in a neuronal burster, Bull. Math. Biol., 64 (2002), pp. 447-481.
    • (2002) Bull. Math. Biol , vol.64 , pp. 447-481
    • KUSKE, R.1    BAER, S.M.2
  • 14
    • 17044393950 scopus 로고    scopus 로고
    • A comment on noise enhanced bursting in pancreatic beta-cells
    • M. G. PEDERSEN, A comment on noise enhanced bursting in pancreatic beta-cells, J. Theoret. Biol., 235 (2005), pp. 1-3.
    • (2005) J. Theoret. Biol , vol.235 , pp. 1-3
    • PEDERSEN, M.G.1
  • 15
    • 0028444759 scopus 로고
    • Fast subsystem bifurcations in a slowly varying Liénard system exhibiting bursting
    • M. PERNAROWSKI, Fast subsystem bifurcations in a slowly varying Liénard system exhibiting bursting, SIAM J. Appl. Math., 54 (1994), pp. 814-832.
    • (1994) SIAM J. Appl. Math , vol.54 , pp. 814-832
    • PERNAROWSKI, M.1
  • 16
    • 0027043895 scopus 로고
    • Perturbation techniques for models of bursting electrical activity in pancreatic β-cells
    • M. PERNAROWSKI, R. M. MIURA, AND J. KEVORKIAN, Perturbation techniques for models of bursting electrical activity in pancreatic β-cells, SIAM J. Appl. Math., 52 (1992), pp. 1627-1650.
    • (1992) SIAM J. Appl. Math , vol.52 , pp. 1627-1650
    • PERNAROWSKI, M.1    MIURA, R.M.2    KEVORKIAN, J.3
  • 17
    • 0000117122 scopus 로고
    • Bursting oscillations in an excitable membrane model
    • Equations, B. D. Sleeman and R. J. Jarvis, eds, Springer-Verlag, New York
    • J. RINZEL, Bursting oscillations in an excitable membrane model, in Ordinary and Partial Differential Equations, B. D. Sleeman and R. J. Jarvis, eds., Springer-Verlag, New York, 1985, pp. 304-316.
    • (1985) Ordinary and Partial Differential , pp. 304-316
    • RINZEL, J.1
  • 18
    • 0001108909 scopus 로고    scopus 로고
    • Statistical properties of stochastic nonlinear dynamical models of single spiking neurons and neural networks
    • R. RODRIGUEZ AND H. C. TUCKWELL, Statistical properties of stochastic nonlinear dynamical models of single spiking neurons and neural networks, Phys. Rev. E (3), 54 (1996), pp. 5585-5590.
    • (1996) Phys. Rev. E , vol.54 , Issue.3 , pp. 5585-5590
    • RODRIGUEZ, R.1    TUCKWELL, H.C.2
  • 19
    • 0022557304 scopus 로고
    • Calcium and delayed potassium currents in mouse pancreatic β-cells under voltage clamp conditions
    • P. RORSMAN AND G. TRUBE, Calcium and delayed potassium currents in mouse pancreatic β-cells under voltage clamp conditions, J. Physiol. (London), 374 (1986), pp. 531-550.
    • (1986) J. Physiol. (London) , vol.374 , pp. 531-550
    • RORSMAN, P.1    TRUBE, G.2
  • 20
    • 0025979886 scopus 로고
    • Model for synchronization of pancreatic beta-cells by gap junction coupling
    • A. SHERMAN AND J. RINZEL, Model for synchronization of pancreatic beta-cells by gap junction coupling, Biophys. J., 59 (1991), pp. 547-559.
    • (1991) Biophys. J , vol.59 , pp. 547-559
    • SHERMAN, A.1    RINZEL, J.2
  • 21
    • 0023791327 scopus 로고
    • Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing
    • A. SHERMAN, J. RINZEL, AND J. KEIZER, Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing, Biophys. J., 54 (1988), pp. 411-425.
    • (1988) Biophys. J , vol.54 , pp. 411-425
    • SHERMAN, A.1    RINZEL, J.2    KEIZER, J.3
  • 22
    • 4243678512 scopus 로고    scopus 로고
    • Dynamics of moments of FitzHugh-Nagumo neuronal models and stochastic bifurcations
    • S. TANABE AND K. PAKDAMAN, Dynamics of moments of FitzHugh-Nagumo neuronal models and stochastic bifurcations, Phys. Rev. E (3), 63 (2001), 031911.
    • (2001) Phys. Rev. E , vol.63 , Issue.3 , pp. 031911
    • TANABE, S.1    PAKDAMAN, K.2
  • 24
    • 0037961599 scopus 로고    scopus 로고
    • 2+ dynamics of isolated mouse β-cells and islets: Implications for mathematical models
    • 2+ dynamics of isolated mouse β-cells and islets: Implications for mathematical models, Biophys. J., 84 (2003), pp. 2852-2870.
    • (2003) Biophys. J , vol.84 , pp. 2852-2870
    • ZHANG, M.1    GOFORTH, P.2    BERTRAM, R.3    SHERMAN, A.4    SATIN, L.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.