Abstract
The propagation dynamics of traveling calcium waves in rat cardiac myocytes have been investigated by means of confocal laser scanning microscopy. We found, that the calcium waves behave as reaction-diffusion waves, demonstrating the velocity-curvature relationship as well as the dispersion relation. We conclude that thes spatio-temporal pattern of calcium are governed by the properties of an excitable medium.
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Lipp, P., Niggli, E. (1993): Microscopic spiral waves reveal positive feedback in subcellular calcium signaling. Biophys. J. 65, 2272–2276.
Cheng, H., Lederer, M.R., Lederer, W. J., Cannell, M. B. (1996): Calcium sparks and [Ca2+]i waves in cardiac myocytes. Am. J. Physiol. 270 (Cell Physiol. 39), C148–C159.
Wussling, M. H. P., Scheufler, K., Schmerling, S., Drygalla, V. (1997): Velocity-Curvature Relationship of Colliding Spherical Calcium Waves in Rat Cardiac Myocytes. Biophys. J. 73, 1232–1242.
Yue, D. T. (1997): Quenching the Spark in the Heart. Science 276, 755–756.
Wussling, M. H. P., Salz, H. (1996): Nonlinear Propagation of Spherical Calcium Waves in Rat Cardiac Myocytes. Biophys. J. 70, 1144–1153.
Mikhailov, A. S. Krinsky, V. I. (1983): Rotating Spiral Waves in Excitable Media: The Analytical Results. Physica D 9, 346–371.
Field, R. J., Burger, M. (1985): Oscillations and Traveling Waves in Chemical Systems. Wiley, New York.
Förster, P., Müller, S. C., Hess, B. (1989): Critical size and curvature of wave formation in an excitable chemical medium. Proc. Natl. Acad. Sci. USA. 86, 6831–6834.
Müller, S. C., Zykov, V. S. (1994): Simple and complex spiral wave dynamics. Phil. Trans. R. Soc. Lond. A 347, 677–685.
Keener, J. P., Tyson, J. J. (1986): Spiral waves in the Belousov-Zhabotinsky reaction. Physica D 21, 307–324.
Hess, B. (1997): Periodic patterns in biochemical reactions. Quart. Rev. Biophys. 30, 121–176.
Clapham, D., Sneyd, J. (1995): Intracellular Calcium Waves. Advances in Second Messenger and Phosphoprotein Research 30 (ed. A. R. Means, Raven Press, New York), pp. 1–24.
Lechleiter, J., Girard, S., Peralta, E., Clapham, D. (1991): Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes. Science 252, 123–126.
Clapham, D. E. (1995): Calcium signaling. Cell 80, 259–268.
Sneyd, J., Girard, S., Clapham, D. (1993): Calcium wave propagation by calcium-induced calcium release: an unusual excitable system. Bull. Mat. Biol. 55, 315–344.
Wier, W. G., Blatter, L. A. (1991): Ca2+ oscillations and Ca2+ waves in mammalian cardiac and vascular smooth muscle cells. Cell Calcium 12, 241–254.
Takamatsu, T., Wier, W. G. (1990): Calcium waves in mammalian heart: quantification of origin, magnitude, waveform, and velocity. FASEB J. 4, 1519–1525.
Williams, D. A., Delbridge, L. M., Cody, S. H., Harris, P. J., Morgan, T. O. (1992): Spontaneous and propagated calcium release in isolated cardiac myocytes viewed by confocal microscopy. Am. J. Physiol. 262, C731–C742.
Sommer, J. R., Jennings, R. B. (1986): Ultrastructure of Cardiac Muscle. The Heart and Cardiovascular System (ed. H. A. Fozzard et al., Raven Press, New York), chapter 4, pp. 61–100.
Tang, Y., Othmer, H. G. (1994): A Model of Calcium Dynamics in Cardiac Myocytes Based on Kinetics of Ryanodine-Sensitive Calcium Channels. Biophys. J. 67, 2223–2235.
Mair, T., Müller, S. C. (1996): Traveling NADH and proton waves during oscillatory glycolysis in vitro. J. Biol. Chem. 271, 627–630.
Cheng, H., Lederer, W. J., Cannell, M. B. (1993): Calcium sparks — elementary events underlying excitation-contraction coupling in cardiac myocytes. Science 262, 740–744.
Lakatta, E. G., Capogrossi, M. C., Kort, A. A., Stern, M. D. (1985): Spontaneous myocardial calcium oscillations: overview with emphasis on ryanodine and caffeine. Federation Proc. 44, 2977–2983.
O’Rourke, B., Ramza, B. M., Marban, E. (1994): Oscillations of membrane current and excitability driven by metabolic oscillations in heart cells. Science 265, 962–966.
Chance, B., Williamson, J. R., Jamieson, D., Schoener, B. (1965): Properties and kinetics of reduced pyridine nucleotide fluorescence of the isolated and in vivo heart. Biochem. Z. 341, 357–377.
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Wussling, M., Mair, T. (1999). Calcium waves in rat cardiac myocytes underlie the principles of self-organization in excitable media. In: Müller, S.C., Parisi, J., Zimmermann, W. (eds) Transport and Structure. Lecture Notes in Physics, vol 532-532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104225
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DOI: https://doi.org/10.1007/BFb0104225
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