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¹ Section of Cellular Signaling, Department of Molecular Biophysics and Physiology, Rush University, Chicago, IL 60612
² Laboratory of Cardiovascular Science, Gerontology Research Center, National Institute on Aging, Baltimore MD 21224
³ School of Biomedical Sciences, University of Queensland, Brisbane, Queensland 4072, Australia
⁴ Departamento de Biofísica, Universidad de la República, Facultad de Medicina, Montevideo 11800, Uruguay

Correspondence to E. Ríos: erios{at}rush.edu

In skeletal muscle of amphibians, the cell-wide cytosolic release of calcium that enables contraction in response to an action potential appears to be built of Ca²⁺ sparks. The mechanism that rapidly terminates this release was investigated by studying the termination of Ca²⁺ release underlying sparks. In groups of thousands of sparks occurring spontaneously in membrane-permeabilized frog muscle cells a complex relationship was found between amplitude a and rise time T, which in sparks corresponds to the active time of the underlying Ca²⁺ release. This relationship included a range of T where a paradoxically decreased with increasing T. Three different methods were used to estimate Ca²⁺ release flux in groups of sparks of different T. Using every method, it was found that T and flux were inversely correlated, roughly inversely proportional. A simple model in which release sources were inactivated by cytosolic Ca²⁺ was able to explain the relationship. The predictive value of the model, evaluated by analyzing the variance of spark amplitude, was found to be high when allowance was made for the out-of-focus error contribution to the total variance. This contribution was estimated using a theory of confocal scanning (Ríos, E., N. Shirokova, W.G. Kirsch, G. Pizarro, M.D. Stern, H. Cheng, and A. González. Biophys. J. 2001. 80:169–183), which was confirmed in the present work by simulated line scanning of simulated sparks. Considering these results and other available evidence it is concluded that Ca²⁺-dependent inactivation, or CDI, provides the crucial mechanism for termination of sparks and cell-wide Ca²⁺ release in amphibians. Given the similarities in kinetics of release termination observed in cell-averaged records of amphibian and mammalian muscle, and in spite of differences in activation mechanisms, CDI is likely to play a central role in mammals as well. Trivially, an inverse proportionality between release flux and duration, in sparks or in global release of skeletal muscle, maintains constancy of the amount of released Ca²⁺.

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