메뉴 건너뛰기




Volumn 242, Issue 1, 2006, Pages 1-15

A bifurcation analysis of calcium buffering

Author keywords

Calcium oscillations; Homoclinic bifurcation; Hopf bifurcation; Rapid buffering approximation; Travelling calcium waves

Indexed keywords

BUFFER; CALCIUM;

EID: 33746895862     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.01.030     Document Type: Article
Times cited : (13)

References (29)
  • 1
    • 0027058138 scopus 로고
    • Range of messenger action of calcium ion and inositol 1,4,5-trisphosphate
    • Allbritton N., Meyer T., and Stryer L. Range of messenger action of calcium ion and inositol 1,4,5-trisphosphate. Science 258 (1992) 1812-1815
    • (1992) Science , vol.258 , pp. 1812-1815
    • Allbritton, N.1    Meyer, T.2    Stryer, L.3
  • 3
    • 0030136339 scopus 로고    scopus 로고
    • A numerical toolbox for homoclinic and bifurcation analysis
    • Champneys A., Kuznetsov Y., and Sandstede B. A numerical toolbox for homoclinic and bifurcation analysis. Int. J. Bifurc. Chaos 6 (1996) 867-887
    • (1996) Int. J. Bifurc. Chaos , vol.6 , pp. 867-887
    • Champneys, A.1    Kuznetsov, Y.2    Sandstede, B.3
  • 5
    • 33746893332 scopus 로고    scopus 로고
    • Doedel, E., Champneys, A., Fairgrieve, T., Kuznetsov, Y., Sandstede, B., Wang, X., 1997. Auto 97: continuation and bifurcation software for ordinary differential equations 〈http://indy.cs.concordia.ca/auto/main.html〉.
  • 6
    • 0037215689 scopus 로고    scopus 로고
    • 2 + dynamics
    • 2 + dynamics. Biophys. J. 84 (2003) 28-41
    • (2003) Biophys. J. , vol.84 , pp. 28-41
    • Falcke, M.1
  • 7
    • 3142773575 scopus 로고    scopus 로고
    • 2 + signaling
    • 2 + signaling. Adv. Phys. 53 (2004) 255-440
    • (2004) Adv. Phys. , vol.53 , pp. 255-440
    • Falcke, M.1
  • 8
    • 0000036850 scopus 로고
    • Šil'nikov-Hopf bifurcation
    • Hirschberg P., and Knobloch E. Šil'nikov-Hopf bifurcation. Physica D 62 (1993) 202-216
    • (1993) Physica D , vol.62 , pp. 202-216
    • Hirschberg, P.1    Knobloch, E.2
  • 9
  • 10
    • 0030983333 scopus 로고    scopus 로고
    • Analytical calculation of intracellular calcium wave characteristics
    • Kupferman R., Mitra P., Hohenberg P., and Wang S. Analytical calculation of intracellular calcium wave characteristics. Biophys. J. 72 (1997) 2430-2444
    • (1997) Biophys. J. , vol.72 , pp. 2430-2444
    • Kupferman, R.1    Mitra, P.2    Hohenberg, P.3    Wang, S.4
  • 11
    • 0022146559 scopus 로고
    • Geometrical characteristics associated with stability and bifurcations of periodic travelling waves in reaction-diffusion systems
    • Maginu K. Geometrical characteristics associated with stability and bifurcations of periodic travelling waves in reaction-diffusion systems. SIAM J. Appl. Math. 45 (1985) 750-774
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 750-774
    • Maginu, K.1
  • 13
    • 0036877146 scopus 로고    scopus 로고
    • 2 + signaling and calcium binding chaperones of the endoplasmic reticulum
    • 2 + signaling and calcium binding chaperones of the endoplasmic reticulum. Cell Calcium 32 (2002) 269-278
    • (2002) Cell Calcium , vol.32 , pp. 269-278
    • Michalak, M.1    Parker, J.R.2    Opas, M.3
  • 14
    • 0030611092 scopus 로고    scopus 로고
    • 2 +] at the mouth of a calcium channel
    • 2 +] at the mouth of a calcium channel. J. Neurosci. 17 (1997) 6961-6973
    • (1997) J. Neurosci. , vol.17 , pp. 6961-6973
    • Naraghi, M.1    Neher, E.2
  • 15
    • 0026649940 scopus 로고
    • Calcium gradients and buffers in bovine chromaffin cells
    • Neher E., and Augustine G. Calcium gradients and buffers in bovine chromaffin cells. J. Physiol. 450 (1992) 273-301
    • (1992) J. Physiol. , vol.450 , pp. 273-301
    • Neher, E.1    Augustine, G.2
  • 16
    • 0028213803 scopus 로고
    • Localization of calcium signals by a mobile calcium buffer in frog saccular hair cells
    • Roberts W. Localization of calcium signals by a mobile calcium buffer in frog saccular hair cells. J. Neurosci. 14 (1994) 3246-3262
    • (1994) J. Neurosci. , vol.14 , pp. 3246-3262
    • Roberts, W.1
  • 17
    • 12244272179 scopus 로고    scopus 로고
    • Complex oscillations and waves of calcium in pancreatic acinar cells
    • Simpson D., Kirk V., and Sneyd J. Complex oscillations and waves of calcium in pancreatic acinar cells. Physica D 200 (2005) 303-324
    • (2005) Physica D , vol.200 , pp. 303-324
    • Simpson, D.1    Kirk, V.2    Sneyd, J.3
  • 19
    • 0035183189 scopus 로고    scopus 로고
    • Asymptotic analysis of buffered calcium diffusion near a point source
    • Smith G., Dai L., Miura R., and Sherman A. Asymptotic analysis of buffered calcium diffusion near a point source. SIAM J. Appl. Math. 61 (2001) 1816-1838
    • (2001) SIAM J. Appl. Math. , vol.61 , pp. 1816-1838
    • Smith, G.1    Dai, L.2    Miura, R.3    Sherman, A.4
  • 20
    • 0037133251 scopus 로고    scopus 로고
    • A dynamic model of the type-2 inositol trisphosphate receptor
    • Sneyd J., and Dufour J.-F. A dynamic model of the type-2 inositol trisphosphate receptor. Proc. Natl Acad. Sci. USA 99 (2002) 2398-2403
    • (2002) Proc. Natl Acad. Sci. USA , vol.99 , pp. 2398-2403
    • Sneyd, J.1    Dufour, J.-F.2
  • 22
    • 0032141593 scopus 로고    scopus 로고
    • Traveling waves in buffered systems: applications to calcium waves
    • Sneyd J., Dale P., and Duffy A. Traveling waves in buffered systems: applications to calcium waves. SIAM J. Appl. Math. 58 (1998) 1178-1192
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1178-1192
    • Sneyd, J.1    Dale, P.2    Duffy, A.3
  • 24
    • 0026504464 scopus 로고
    • Buffering of calcium in the vicinity of a channel pore
    • Stern M. Buffering of calcium in the vicinity of a channel pore. Cell Calcium 13 (1992) 183-192
    • (1992) Cell Calcium , vol.13 , pp. 183-192
    • Stern, M.1
  • 25
    • 0345413315 scopus 로고    scopus 로고
    • Saltatory and continuous calcium waves and the rapid buffering approximation
    • Strier D., Ventura A., and Dawson S. Saltatory and continuous calcium waves and the rapid buffering approximation. Biophys. J. 85 (2003) 3575-3586
    • (2003) Biophys. J. , vol.85 , pp. 3575-3586
    • Strier, D.1    Ventura, A.2    Dawson, S.3
  • 26
    • 0026712154 scopus 로고
    • Mechanisms of cellular calcium oscillations in secretory cells
    • Tepikin A., and Petersen O. Mechanisms of cellular calcium oscillations in secretory cells. Biochim. Biophys. Acta. 1137 (1992) 197-207
    • (1992) Biochim. Biophys. Acta. , vol.1137 , pp. 197-207
    • Tepikin, A.1    Petersen, O.2
  • 27
    • 2142714016 scopus 로고    scopus 로고
    • 3 receptor channel clusters and concentration profiles
    • 3 receptor channel clusters and concentration profiles. Biophys. J. 86 (2004) 2660-2673
    • (2004) Biophys. J. , vol.86 , pp. 2660-2673
    • Thul, R.1    Falcke, M.2
  • 28
    • 33644603823 scopus 로고    scopus 로고
    • Existence and stability of traveling waves in buffered systems
    • Tsai J.-C., and Sneyd J. Existence and stability of traveling waves in buffered systems. SIAM J. Appl. Math. 66 (2005) 237-265
    • (2005) SIAM J. Appl. Math. , vol.66 , pp. 237-265
    • Tsai, J.-C.1    Sneyd, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.