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Volumn 177, Issue 1-4, 2003, Pages 242-258

The stability of traveling calcium pulses in a pancreatic acinar cell

Author keywords

Calcium waves; Stability; T point bifurcation; Traveling waves

Indexed keywords

BIFURCATION (MATHEMATICS); CALCIUM; DIFFUSION; ELECTROPHYSIOLOGY; ENZYMES; MUSCLE; NONLINEAR SYSTEMS;

EID: 0037445396     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00772-8     Document Type: Article
Times cited : (21)

References (28)
  • 1
    • 0345779413 scopus 로고
    • Systematics of the Lorenz model at σ=10
    • Alfsen K., Frøyland J., Systematics of the Lorenz model at. σ=10 Phys. Scripta. 32:1985;15-20.
    • (1985) Phys. Scripta , vol.32 , pp. 15-20
    • Alfsen, K.1    Frøyland, J.2
  • 2
    • 0000595586 scopus 로고
    • The bifurcations of separatrix contours and chaos
    • Bykov V.V., The bifurcations of separatrix contours and chaos. Physica D. 62(1-4):1993;290-299.
    • (1993) Physica D , vol.62 , Issue.1-4 , pp. 290-299
    • Bykov, V.V.1
  • 4
    • 0000598042 scopus 로고
    • The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits
    • Chow S.-N., Deng B., Terman D., The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. SIAM J. Math. Anal. 21(1):1990;179-204.
    • (1990) SIAM J. Math. Anal. , vol.21 , Issue.1 , pp. 179-204
    • Chow, S.-N.1    Deng, B.2    Terman, D.3
  • 5
    • 84959950080 scopus 로고
    • The bifurcation of homoclinic orbits from two heteroclinic orbits - A topological approach
    • Chow S.-N., Deng B., Terman D., The bifurcation of homoclinic orbits from two heteroclinic orbits - a topological approach. Appl. Anal. 42(3-4):1991;275-299.
    • (1991) Appl. Anal. , vol.42 , Issue.3-4 , pp. 275-299
    • Chow, S.-N.1    Deng, B.2    Terman, D.3
  • 7
    • 34250127220 scopus 로고
    • T -points: A codimension two heteroclinic bifurcation
    • Glendinning P., Sparrow C. T -points: a codimension two heteroclinic bifurcation J. Statist. Phys. 43:1986;479-488.
    • (1986) J. Statist. Phys. , vol.43 , pp. 479-488
    • Glendinning, P.1    Sparrow, C.2
  • 8
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer, New York
    • D. Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics, vol. 840, Springer, New York, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 9
    • 0013322652 scopus 로고    scopus 로고
    • Personal communication
    • I.G. Kevrekidis, Personal communication.
    • Kevrekidis, I.G.1
  • 10
    • 0001002402 scopus 로고
    • Bifurcations to N -homoclinic orbits and N -periodic orbits in vector fields
    • Kisaka M., Kokubu H., Oka H., Bifurcations to. N -homoclinic orbits and N -periodic orbits in vector fields J. Dyn. Diff. Eqns. 5:1993;305-357.
    • (1993) J. Dyn. Diff. Eqns. , vol.5 , pp. 305-357
    • Kisaka, M.1    Kokubu, H.2    Oka, H.3
  • 11
    • 0000393425 scopus 로고
    • Homoclinic and heteroclinic bifurcations of vector fields
    • Kokubu H., Homoclinic and heteroclinic bifurcations of vector fields. Jpn. J. Appl. Math. 5(3):1988;455-501.
    • (1988) Jpn. J. Appl. Math. , vol.5 , Issue.3 , pp. 455-501
    • Kokubu, H.1
  • 12
    • 0001624925 scopus 로고
    • A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T -point
    • Kokubu H., A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow. T -point Z. Angew. Math. Phys. 44(3):1993;510-536.
    • (1993) Z. Angew. Math. Phys. , vol.44 , Issue.3 , pp. 510-536
    • Kokubu, H.1
  • 14
    • 0032970247 scopus 로고    scopus 로고
    • Agonist-dependent phosphorylation of the inositol-1,4,5-trisphosphate receptor: A possible mechanism for agonist-specific calcium oscillations in pancreatic acinar cells
    • LeBeau A.P., Yule D.I., Groblewski G.E., Sneyd J., Agonist-dependent phosphorylation of the inositol-1,4,5-trisphosphate receptor: a possible mechanism for agonist-specific calcium oscillations in pancreatic acinar cells. J. Genet. Physiol. 113:1999;851-871.
    • (1999) J. Genet. Physiol. , vol.113 , pp. 851-871
    • LeBeau, A.P.1    Yule, D.I.2    Groblewski, G.E.3    Sneyd, J.4
  • 15
    • 0013322459 scopus 로고
    • An extrapolated Crank-Nicolson difference scheme for quasilinear parabolic equations
    • W. Ames (Ed.), Academic Press, New York
    • M. Lees, An extrapolated Crank-Nicolson difference scheme for quasilinear parabolic equations, in: W. Ames (Ed.), Nonlinear Partial Differential Equations, Academic Press, New York, 1967, pp. 193-201.
    • (1967) Nonlinear Partial Differential Equations , pp. 193-201
    • Lees, M.1
  • 16
    • 0020071283 scopus 로고
    • Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations
    • Miura R., Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations. J. Math. Biol. 13:1982;247-269.
    • (1982) J. Math. Biol. , vol.13 , pp. 247-269
    • Miura, R.1
  • 17
    • 0345848729 scopus 로고    scopus 로고
    • Accumulation of eigenvalues in a stability problem
    • Nii S., Accumulation of eigenvalues in a stability problem. Physica D. 142:2000;70-86.
    • (2000) Physica D , vol.142 , pp. 70-86
    • Nii, S.1
  • 18
    • 0035475035 scopus 로고    scopus 로고
    • Pulse bifurcations and instabilities in an excitable medium: Computations in finite ring domains
    • Or-Guil M., Krishnan J., Kevrekidis I.G., Bär M., Pulse bifurcations and instabilities in an excitable medium: computations in finite ring domains. Phys. Rev. E. 64:2001;046212.
    • (2001) Phys. Rev. E , vol.64 , pp. 046212
    • Or-Guil, M.1    Krishnan, J.2    Kevrekidis, I.G.3    Bär, M.4
  • 19
    • 0020191444 scopus 로고
    • Propagation phenomena in a bistable reaction-diffusion system
    • Rinzel J., Terman D., Propagation phenomena in a bistable reaction-diffusion system. SIAM J. Appl. Math. 42:1982;1111-1137.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 1111-1137
    • Rinzel, J.1    Terman, D.2
  • 21
    • 4243467708 scopus 로고    scopus 로고
    • Stability of neuronal pulses composed of concatenated unstable kinks
    • Romeo M.M., Jones C.K.R.T., Stability of neuronal pulses composed of concatenated unstable kinks. Phys. Rev. E. 63:2001;011904.
    • (2001) Phys. Rev. E , vol.63 , pp. 011904
    • Romeo, M.M.1    Jones, C.K.R.T.2
  • 22
    • 0346686985 scopus 로고    scopus 로고
    • Absolute and convective instabilities of waves on unbounded and large bounded domains
    • Sandstede B., Scheel A., Absolute and convective instabilities of waves on unbounded and large bounded domains. Physica D. 145:2000;233-277.
    • (2000) Physica D , vol.145 , pp. 233-277
    • Sandstede, B.1    Scheel, A.2
  • 23
    • 0034258264 scopus 로고    scopus 로고
    • Gluing unstable fronts and backs together can produce stable pulses
    • Sandstede B., Scheel A., Gluing unstable fronts and backs together can produce stable pulses. Nonlinearity. 13:2000;1465-1482.
    • (2000) Nonlinearity , vol.13 , pp. 1465-1482
    • Sandstede, B.1    Scheel, A.2
  • 24
    • 0034301190 scopus 로고    scopus 로고
    • Traveling waves of calcium in pancreatic acinar cells: Model construction and bifurcation analysis
    • Sneyd J., LeBeau A., Yule D., Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis. Physica D. 145:2000;158-179.
    • (2000) Physica D , vol.145 , pp. 158-179
    • Sneyd, J.1    LeBeau, A.2    Yule, D.3
  • 25
    • 36449003521 scopus 로고
    • Observing a codimension-two heteroclinic bifurcation
    • Tokunaga R., Yasushi A., Matsumoto T., Observing a codimension-two heteroclinic bifurcation. Chaos. 3:1993;63-72.
    • (1993) Chaos , vol.3 , pp. 63-72
    • Tokunaga, R.1    Yasushi, A.2    Matsumoto, T.3
  • 26
    • 0034659369 scopus 로고    scopus 로고
    • 2+ oscillations in permeabilized blowfly salivary gland cells: Contribution of mitochondria
    • 2+ oscillations in permeabilized blowfly salivary gland cells: contribution of mitochondria J. Physiol. 525(3):2000;707-719.
    • (2000) J. Physiol. , vol.525 , Issue.3 , pp. 707-719
    • Zimmermann, B.1
  • 28
    • 0032008443 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic bifurcations close to a twisted heteroclinic cycle
    • Zimmermann M.G., Natiello M.A., Homoclinic and heteroclinic bifurcations close to a twisted heteroclinic cycle. Int. J. Bifurc. Chaos. 8(2):1998;359-375.
    • (1998) Int. J. Bifurc. Chaos , vol.8 , Issue.2 , pp. 359-375
    • Zimmermann, M.G.1    Natiello, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.