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Approximate Analytical Time-Dependent Solutions to Describe Large-Amplitude Local Calcium Transients in the Presence of Buffers

DFG-Center of Molecular Physiology of the Brain, Department of Neuro- and Sensory Physiology, Georg-August-University, Göttingen, Germany

Correspondence: Address reprint requests to S. L. Mironov, Tel.: 49-551-39-5742; E-mail: smirono{at}gwdg.de.

Local Ca²⁺ signaling controls many neuronal functions, which is often achieved through spatial localization of Ca²⁺ signals. These nanodomains are formed due to combined effects of Ca²⁺ diffusion and binding to the cytoplasmic buffers. In this article we derived simple analytical expressions to describe Ca²⁺ diffusion in the presence of mobile and immobile buffers. A nonlinear character of the reaction-diffusion problem was circumvented by introducing a logarithmic approximation of the concentration term. The obtained formulas reproduce free Ca²⁺ levels up to 50 µM and their changes in the millisecond range. Derived equations can be useful to predict spatiotemporal profiles of large-amplitude [Ca²⁺] transients, which participate in various physiological processes.

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