On calcium-buffer dynamics within the excess buffer regime

Rachid Ait-Haddou*, Yoshihisa Kurachi, Taishin Nomura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In intracellular calcium signaling, calcium buffers has been recognized for their role in reshaping and localizing the calcium concentration profile in the vicinity of the channel, as well as reducing the effective diffusion of free calcium. In the presence of an excess of endogenous or exogenous buffers, linearization of the reaction-diffusion system describing the calcium-buffer dynamics has been instrumental in understanding the extent of the microdomain formation and in quantifying the apparent diffusion of the free calcium. In these linearized models, the conclusions are usually drawn from the steady-state solutions upon the opening of the channel. In this work, using the joint Laplace-Fourier method, we give an explicit integral transient solution, as well as, the long-time asymptotic behavior of the linearized calcium-buffer dynamics. The results confirm and emphasize the long stated intuitions on the diffusive character of the calcium-buffer dynamics. Numerical validations of our analytical results will be discussed.

Original languageEnglish (US)
Pages (from-to)55-65
Number of pages11
JournalJournal of Theoretical Biology
Volume264
Issue number1
DOIs
StatePublished - May 7 2010

Keywords

  • Calcium signaling
  • Ion channels
  • Laplace-Fourier methods
  • Linearized calcium-buffers dynamics
  • Reaction-diffusion equations

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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