메뉴 건너뛰기




Volumn 21, Issue 2, 2011, Pages 587-601

Propagation and synchronization of Ca2+ spiral waves in excitable media

Author keywords

factor of synchronization; Spiral wave; synchronization

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; SYNCHRONIZATION; WHITE NOISE;

EID: 79953857556     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127411028635     Document Type: Article
Times cited : (12)

References (38)
  • 1
    • 0000157466 scopus 로고    scopus 로고
    • A simple twovariable model of cardiac excitation
    • Aliev, R. R. & Panfilov, A. V. [1996] "A simple twovariable model of cardiac excitation," Chaos Solit. Fract. 7, 293-301.
    • (1996) Chaos Solit. Fract. , vol.7 , pp. 293-301
    • Aliev, R.R.1    Panfilov, A.V.2
  • 2
    • 0027421180 scopus 로고
    • A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte
    • Atri, A. et al. [1993] "A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte," Biophys. J. 65, 1727-1739. (Pubitemid 23316993)
    • (1993) Biophysical Journal , vol.65 , Issue.4 , pp. 1727-1739
    • Atri, A.1    Amundson, J.2    Clapham, D.3    Sneyd, J.4
  • 3
    • 36449000398 scopus 로고
    • Spiral waves in a surface reaction: Model calculations
    • Bär, M., Gottschalk, N. & Ertl, G. [1994] "Spiral waves in a surface reaction: Model calculations," J. Phys. Chem. B 100, 1202-1204.
    • (1994) J. Phys. Chem. B , vol.100 , pp. 1202-1204
    • Bär, M.1    Gottschalk, N.2    Ertl, G.3
  • 4
    • 39349114011 scopus 로고    scopus 로고
    • Transition from Turing stripe patterns to hexagonal patterns induced by polarized electric fields
    • Chen, W. Q., Zhang, H. & Ying, H. P. [2007] "Transition from Turing stripe patterns to hexagonal patterns induced by polarized electric fields," J. Chem. Phys. 127, 154708.
    • (2007) J. Chem. Phys. , vol.127 , pp. 154708
    • Chen, W.Q.1    Zhang, H.2    Ying, H.P.3
  • 5
    • 36148971571 scopus 로고    scopus 로고
    • Decoding calcium wave signaling
    • DOI 10.1016/S1569-2558(03)31030-6, PII S1569255803310306, Non-Neuronal Cells of the Nervous System: Function and Dysfunction
    • Cornell-Bell, A. H., Jun, P. & Trinkaus-Randall, V. [2004] "Decoding calcium wave signaling," Adv. Molec. Cell Biol. 31, 661-687. (Pubitemid 137641041)
    • (2003) Advances in Molecular and Cell Biology , vol.31 , pp. 661-687
    • Cornell-Bell, A.H.1    Jung, P.2    Trinkaus-Randall, V.3
  • 7
    • 0041821608 scopus 로고    scopus 로고
    • 2+ waves on SERCA expression
    • Falcke, M., Li, Y. & Lechleiter, J. D. [2003] "Modeling the dependence of the period of intracellular Ca2+ waves on SERCA expression," Biophys. J. 85, 1474-1481. (Pubitemid 37052234)
    • (2003) Biophysical Journal , vol.85 , Issue.3 , pp. 1474-1481
    • Falcke, M.1    Li, Y.2    Lechleiter, J.D.3    Camacho, P.4
  • 8
    • 0030974181 scopus 로고    scopus 로고
    • The restless heart of a spiral
    • DOI 10.1038/42597
    • Holden, A. V. [1997] "The restless heart of a spiral," Nature 387, 655-657. (Pubitemid 27270587)
    • (1997) Nature , vol.387 , Issue.6634 , pp. 655-657
    • Holden, A.V.1
  • 10
    • 0026416651 scopus 로고
    • Spiral calcium wave propagation and annihilation in Xenapus laevis oocytes
    • Lechleiter, J. et al. [1991] "Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes," Science 252, 123-126. (Pubitemid 21916952)
    • (1991) Science , vol.252 , Issue.5002 , pp. 123-126
    • Lechleiter, J.1    Girard, S.2    Peralta, E.3    Clapham, D.4
  • 11
    • 0032580157 scopus 로고    scopus 로고
    • Cell-permeant caged InsP3 ester shows that Ca2+ spike frequency can optimize gene expression
    • Li, W. H. et al. [1998] "Cell-permeant caged InsP3 ester shows that Ca2+ spike frequency can optimize gene expression," Nature 392, 936-941.
    • (1998) Nature , vol.392 , pp. 936-941
    • Li, W.H.1
  • 12
    • 58149528116 scopus 로고    scopus 로고
    • Elimination of antispiral waves by local inhomogeneity in oscillatory systems
    • Liu, F. C. & Wang, X. F. [2008] "Elimination of antispiral waves by local inhomogeneity in oscillatory systems," Chin. J. Chem. Phys. 21, 575-580.
    • (2008) Chin. J. Chem. Phys. , vol.21 , pp. 575-580
    • Liu, F.C.1    Wang, X.F.2
  • 13
    • 34247375123 scopus 로고    scopus 로고
    • Suppression of spiral waves by generating a self-exciting target wave
    • Ma, J., Jin, W. Y. & Li, Y. L. [2007] "Suppression of spiral waves by generating a self-exciting target wave," Chin. J. Chem. Phys. 20, 53-58.
    • (2007) Chin. J. Chem. Phys. , vol.20 , pp. 53-58
    • Ma, J.1    Jin, W.Y.2    Li, Y.L.3
  • 14
    • 33645391539 scopus 로고    scopus 로고
    • A minimal model for decoding of time-limited Ca2+ oscillations
    • Marhl, M., Perc, M. & Schuster, S. [2006]"A minimal model for decoding of time-limited Ca2+ oscillations," Biophys. Chem. 120, 161-167.
    • (2006) Biophys. Chem. , vol.120 , pp. 161-167
    • Marhl, M.1    Perc, M.2    Schuster, S.3
  • 15
    • 43449127548 scopus 로고    scopus 로고
    • Spatiotemporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ signalling in hepatocytes
    • Marhl, M., Gosak, M. & Perc, M. [2008] "Spatiotemporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ signalling in hepatocytes," J. Theor. Biol. 252, 419-426.
    • (2008) J. Theor. Biol. , vol.252 , pp. 419-426
    • Marhl, M.1    Gosak, M.2    Perc, M.3
  • 16
    • 0037730042 scopus 로고    scopus 로고
    • On the formation and breakup of spiral waves of calcium
    • Mckenzie, A. & Sneyd, J. [1998] "On the formation and breakup of spiral waves of calcium," Int. J. Bifurcation and Chaos 8, 2003-2012.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , pp. 2003-2012
    • McKenzie, A.1    Sneyd, J.2
  • 17
    • 31744441806 scopus 로고    scopus 로고
    • Control of waves, patterns and turbulence in chemical systems
    • DOI 10.1016/j.physrep.2005.11.003, PII S0370157305004825
    • Mikhailov, A. S. & Showalter, K. [2006] "Control of waves, patterns and turbulence in chemical systems," Phys. Rep. 425, 79-194. (Pubitemid 43174943)
    • (2006) Physics Reports , vol.425 , Issue.2-3 , pp. 79-194
    • Mikhailov, A.S.1    Showalter, K.2
  • 18
    • 84984780039 scopus 로고    scopus 로고
    • Transition from spirals to defect turbulence driven by a convective instability
    • Ouyang, Q. & Felesselles, J. M. [1996] "Transition from spirals to defect turbulence driven by a convective instability," Nature 379, 143-146.
    • (1996) Nature , vol.379 , pp. 143-146
    • Ouyang, Q.1    Felesselles, J.M.2
  • 19
    • 0038109029 scopus 로고    scopus 로고
    • Sensitivity and flexibility of regular and chaotic calcium oscillations
    • DOI 10.1016/S0301-4622(03)00038-3
    • Perc, M. & Marhl, M. [2003a] "Sensitivity and flexibility of regular and chaotic calcium oscillations," Biophys. Chem. 104, 509-522. (Pubitemid 36871036)
    • (2003) Biophysical Chemistry , vol.104 , Issue.2 , pp. 509-522
    • Perc, M.1    Marhl, M.2
  • 20
    • 0141785111 scopus 로고    scopus 로고
    • Resonance effects determine the frequency of bursting Ca2+ oscillations
    • Perc, M. & Marhl, M. [2003b] "Resonance effects determine the frequency of bursting Ca2+ oscillations," Chem. Phys. Lett. 376, 432-437.
    • (2003) Chem. Phys. Lett. , vol.376 , pp. 432-437
    • Perc, M.1    Marhl, M.2
  • 21
    • 33746006907 scopus 로고    scopus 로고
    • Effects of small-world connectivity on noise-induced temporal and spatial order in neural media
    • DOI 10.1016/j.chaos.2005.10.018, PII S0960077905009549
    • Perc, M. [2007] "Effects of small-world connectivity on noise-induced temporal and spatial order in neural media," Chaos Solit. Fract. 31, 280-291. (Pubitemid 44067479)
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.2 , pp. 280-291
    • Perc, M.1
  • 22
    • 0027486748 scopus 로고
    • The inositol phosphate-calcium signaling system in nonexcitable cells
    • DOI 10.1210/er.14.5.610
    • Putney, J. & Bird, G. [1993] "The inositol phosphatecalcium signaling system in nonexcitable cells," Endocr. Rev. 14, 610-631. (Pubitemid 23320389)
    • (1993) Endocrine Reviews , vol.14 , Issue.5 , pp. 610-631
    • Putney Jr., J.W.1    Bird, G.S.J.2
  • 23
    • 34247494809 scopus 로고    scopus 로고
    • Dynamical evolution of spatiotemporal patterns in mammalian middle cortex
    • Schiff, S. J. et al. [2007] "Dynamical evolution of spatiotemporal patterns in mammalian middle cortex," Phys. Rev. Lett. 98, 178102.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 178102
    • Schiff, S.J.1
  • 24
    • 3442891689 scopus 로고    scopus 로고
    • Optimal intracellular calcium signaling
    • Shuai, J. W. & Jung, P. [2002] "Optimal intracellular calcium signaling," Phys. Rev. Lett. 88, 68102.
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 68102
    • Shuai, J.W.1    Jung, P.2
  • 26
    • 0028845999 scopus 로고
    • Mechanisms of calcium oscillations and waves: A quantitative analysis
    • Sneyd, J., Keizer, J. & Sanderson, M. [1995] "Mechanisms of calcium oscillations and waves: A quantitative analysis," FASEB J. 9, 1463-1472.
    • (1995) FASEB J. , vol.9 , pp. 1463-1472
    • Sneyd, J.1    Keizer, J.2    Sanderson, M.3
  • 27
    • 0028891639 scopus 로고
    • Intercellular calcium waves mediated by diffusion of inositol trisphosphate: A twodimensional model
    • Sneyd, J. et al. [1995] "Intercellular calcium waves mediated by diffusion of inositol trisphosphate: A twodimensional model," Am. J. Physiol. Cell Physiol. 268, C1537-C1545.
    • (1995) Am. J. Physiol. Cell Physiol. , vol.268
    • Sneyd, J.1
  • 28
    • 0032523987 scopus 로고    scopus 로고
    • A continuum of IP3- mediated elementary Ca2+ signalling events in Xenopus oocytes
    • Sun, X. P. et al. [1998] "A continuum of IP3- mediated elementary Ca2+ signalling events in Xenopus oocytes," J. Physiol. 509, 67-80.
    • (1998) J. Physiol. , vol.509 , pp. 67-80
    • Sun, X.P.1
  • 29
    • 79051468708 scopus 로고    scopus 로고
    • Numerical study of IP3-dependent Ca2+ spiral waves in xenopus oocytes
    • Tang, J. et al. [2008] "Numerical study of IP3-dependent Ca2+ spiral waves in xenopus oocytes," Europhys. Lett. 83, 68001.
    • (2008) Europhys. Lett. , vol.83 , pp. 68001
    • Tang, J.1
  • 30
    • 62649136495 scopus 로고    scopus 로고
    • Numerical study of IP3-induced Ca2+ spiral pattern evolution
    • Tang, J. et al. [2008] "Numerical study of IP3-induced Ca2+ spiral pattern evolution," Chin. Phys. B 17, 4100-4106.
    • (2008) Chin. Phys. B , vol.17 , pp. 4100-4106
    • Tang, J.1
  • 31
    • 70350235213 scopus 로고    scopus 로고
    • Theoretical study on drift of Ca2+ spiral waves controlled by electric field
    • Tang, J. et al. [2009] "Theoretical study on drift of Ca2+ spiral waves controlled by electric field," Commun. Theor. Phys. 51, 941-946.
    • (2009) Commun. Theor. Phys. , vol.51 , pp. 941-946
    • Tang, J.1
  • 32
    • 79051469197 scopus 로고    scopus 로고
    • Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability
    • Wang, Q. Y. et al. [2008a] "Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability," Europhys. Lett. 83, 50008.
    • (2008) Europhys. Lett. , vol.83 , pp. 50008
    • Wang, Q.Y.1
  • 33
    • 48449088106 scopus 로고    scopus 로고
    • Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks
    • Wang, Q. Y. et al. [2008b] "Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks," Phys. Lett. A 372, 5681-5687.
    • (2008) Phys. Lett. A , vol.372 , pp. 5681-5687
    • Wang, Q.Y.1
  • 34
    • 67650739997 scopus 로고    scopus 로고
    • Spatiotemporal multiple coherence resonances and calcium waves in a coupled hepatocyte system
    • Wang, B. H. et al. [2009] "Spatiotemporal multiple coherence resonances and calcium waves in a coupled hepatocyte system," Chin. Phys. B 8, 872-880.
    • (2009) Chin. Phys. B , vol.8 , pp. 872-880
    • Wang, B.H.1
  • 35
    • 0032492639 scopus 로고    scopus 로고
    • Intercellular spiral waves of calcium
    • DOI 10.1006/jtbi.1997.0585
    • Wilkins,M. & Sneyd, J. [1998] "Intercellular spiral waves of calcium," J. Theor. Biol. 191, 299-308. (Pubitemid 28233993)
    • (1998) Journal of Theoretical Biology , vol.191 , Issue.3 , pp. 299-308
    • Wilkins, M.1    Sneyd, J.2
  • 36
    • 0003659232 scopus 로고
    • Princeton, University Press, Princeton, NJ
    • Winfree, A. T. [1987] When Time Breaks Down (Princeton University Press, Princeton, NJ).
    • (1987) When Time Breaks Down
    • Winfree, A.T.1
  • 37
    • 33745117047 scopus 로고    scopus 로고
    • Theoretical study on stochastic resonancein chemical systems
    • Xin, H. W. [2000] "Theoretical study on stochastic resonancein chemical systems," Chin. J. Chem. Phys. 13, 388-405.
    • (2000) Chin. J. Chem. Phys. , vol.13 , pp. 388-405
    • Xin, H.W.1
  • 38
    • 33751565289 scopus 로고    scopus 로고
    • Control of spiral breakup by an alternating advective field
    • Zhang, H., Chen, J. X. & Li, Y. Q. [2006] "Control of spiral breakup by an alternating advective field," J. Chem. Phys. 125, 204503.
    • (2006) J. Chem. Phys. , vol.125 , pp. 204503
    • Zhang, H.1    Chen, J.X.2    Li, Y.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.