메뉴 건너뛰기




Volumn 162, Issue 1, 2000, Pages 186-218

Numerical Approach to Fast Reactions in Reaction-Diffusion Systems: Application to Buffered Calcium Waves in Bistable Models

Author keywords

Bistability; Calcium buffering; Cell modeling; Li Rinzel model; Pseudo steady approximation; Reaction diffusion systems

Indexed keywords

APPROXIMATION ALGORITHMS; BIFURCATION (MATHEMATICS); BIOCHEMISTRY; CELLS; CYTOLOGY; DIFFUSION IN LIQUIDS; DYNAMIC MODELS; FLUORESCENCE;

EID: 0000896334     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6532     Document Type: Article
Times cited : (40)

References (30)
  • 1
    • 0030739712 scopus 로고    scopus 로고
    • A general computational framework for modeling cellular structure and function
    • Schaff J., Fink C. C., Slepchenko B., Carson J. H., Loew L. M. A general computational framework for modeling cellular structure and function. Biophys. J. 73:1997;1135.
    • (1997) Biophys. J. , vol.73 , pp. 1135
    • Schaff, J.1    Fink, C.C.2    Slepchenko, B.3    Carson, J.H.4    Loew, L.M.5
  • 2
    • 0342448014 scopus 로고    scopus 로고
    • Physiological modeling with the Virtual Cell framework
    • edited by, M. Johnson, Academic Press, San Diego, in press
    • J. Schaff, B. M. Slepchenko, and, L. M. Loew, Physiological modeling with the Virtual Cell framework, in, Methods in Enzymology, edited by, M. Johnson, Academic Press, San Diego, in press.
    • In, Methods in Enzymology
    • Schaff, J.1    Slepchenko, B.M.2    Loew, L.M.3
  • 7
    • 0018918232 scopus 로고
    • Structural analysis of multicomponent reaction models
    • Sørensen J. P., Stewart W. E. Structural analysis of multicomponent reaction models. AIChE J. 26:1980;98.
    • (1980) AIChE J. , vol.26 , pp. 98
    • Sørensen, J.P.1    Stewart, W.E.2
  • 8
    • 0023709196 scopus 로고
    • Metabolic control theory: A structural approach
    • Reder C. Metabolic control theory: a structural approach. J. Theor. Biol. 135:1988;175.
    • (1988) J. Theor. Biol. , vol.135 , pp. 175
    • Reder, C.1
  • 9
    • 0002068793 scopus 로고
    • Cell signalling through cytoplasmic calcium oscillations
    • edited by, A. Goldbeter, Academic Press, London, 449.
    • M. J. Berridge, Cell signalling through cytoplasmic calcium oscillations, in, Cell to Cell Signalling: From Experiments to Theoretical Models, edited by, A. Goldbeter, Academic Press, London, 1989, p, 449.
    • (1989) In, Cell to Cell Signalling: From Experiments to Theoretical Models
    • Berridge, M.J.1
  • 11
    • 0028845999 scopus 로고
    • Mechanisms of calcium oscillations and waves: A quantitative analysis
    • Sneyd J., Keizer J., Sanderson M. J. Mechanisms of calcium oscillations and waves: A quantitative analysis. FASEB J. 9:1995;1463.
    • (1995) FASEB J. , vol.9 , pp. 1463
    • Sneyd, J.1    Keizer, J.2    Sanderson, M.J.3
  • 12
    • 0027058138 scopus 로고
    • Range of messenger action of calcium ion and inositol 1,4,5-triphosphate
    • Allbritton N. L., Meyer T., Stryer L. Range of messenger action of calcium ion and inositol 1,4,5-triphosphate. Science. 258:1992;1812.
    • (1992) Science , vol.258 , pp. 1812
    • Allbritton, N.L.1    Meyer, T.2    Stryer, L.3
  • 13
    • 0028283402 scopus 로고
    • Calcium buffering and diffusion: On the resolution of an outstanding problem
    • Sneyd J. Calcium buffering and diffusion: On the resolution of an outstanding problem. Biophys. J. 67:1994;4.
    • (1994) Biophys. J. , vol.67 , pp. 4
    • Sneyd, J.1
  • 16
    • 0032141593 scopus 로고    scopus 로고
    • Traveling waves in buffered systems: Applications to calcium waves
    • Sneyd J., Dale P., Duffy A. Traveling waves in buffered systems: Applications to calcium waves. SIAM J. Appl. Math. 58:1998;1178.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1178
    • Sneyd, J.1    Dale, P.2    Duffy, A.3
  • 17
    • 0030983333 scopus 로고    scopus 로고
    • Analytical calculation of intracellular calcium wave characteristics
    • Kupferman R., Mitra P. P., Hohenberg P. C., Wang S. S.-H. Analytical calculation of intracellular calcium wave characteristics. Biophys. J. 72:1997;2430.
    • (1997) Biophys. J. , vol.72 , pp. 2430
    • Kupferman, R.1    Mitra, P.P.2    Hohenberg, P.C.3    Wang, S.S.-H.4
  • 20
    • 0027426069 scopus 로고
    • Calcium sparks: Elementary events underlying excitation-contraction coupling in heart muscle
    • Cheng H., Lederer W. J., Cannell M. B. Calcium sparks: Elementary events underlying excitation-contraction coupling in heart muscle. Science. 262:1993;740.
    • (1993) Science , vol.262 , pp. 740
    • Cheng, H.1    Lederer, W.J.2    Cannell, M.B.3
  • 23
    • 0031067017 scopus 로고    scopus 로고
    • 2+ diffusion near the membrane: Implications for secretion in neuroendocrine cells
    • 2+ diffusion near the membrane: Implications for secretion in neuroendocrine cells. Biophys. J. 72:1997;674.
    • (1997) Biophys. J. , vol.72 , pp. 674
    • Klingauf, J.1    Neher, E.2
  • 24
    • 0028178965 scopus 로고
    • i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism
    • i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism. J. Theor. Biol. 166:1994;461.
    • (1994) J. Theor. Biol. , vol.166 , pp. 461
    • Li, Y.-X.1    Rinzel, J.2
  • 25
    • 0027979378 scopus 로고
    • Calcium oscillations in pituitary gonadotrophs - Comparison of experiment and theory
    • Li Y.-X., Rinzel J., Keizer J., Stojikovic S. S. Calcium oscillations in pituitary gonadotrophs - Comparison of experiment and theory. Proc. Natl. Acad. Sci. USA. 91:1994;9895.
    • (1994) Proc. Natl. Acad. Sci. USA , vol.91 , pp. 9895
    • Li, Y.-X.1    Rinzel, J.2    Keizer, J.3    Stojikovic, S.S.4
  • 28
    • 0001023347 scopus 로고    scopus 로고
    • The role of calcium explosions, waves, and pulses in activating eggs
    • edited by, C. B. Metz and A. Monroy, Academic Press, Orlando, FL, 127.
    • L. F. Jaffe, The role of calcium explosions, waves, and pulses in activating eggs, in, Biology of Fertilization, edited by, C. B. Metz and A. Monroy, Academic Press, Orlando, FL, Vol, 3, p, 127.
    • In, Biology of Fertilization , vol.3
    • Jaffe, L.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.