ArticleBiophysical journal1997
Analytical calculation of intracellular calcium wave characteristics.
Article in Biophysical journal, 1997. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed.
- Modeling traveling calcium waves in cellular structures.Journal of computational neuroscience · 2025Article
- Modeling the reactive oxygen species (ROS) wave in Chlamydomonas reinhardtii colonies.Free radical biology & medicine · 2024Article
- On the role of calcium diffusion and its rapid buffering in intraflagellar signaling.European biophysics journal : EBJ · 2023Article
- A unified model for the dynamics of ATP-independent ultrafast contraction.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Mechanically induced integrin ligation mediates intracellular calcium signaling with single pulsating cavitation bubbles.Theranostics · 2021Article
- Dynamics and mechanisms of intracellular calcium waves elicited by tandem bubble-induced jetting flow.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
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- Synthetic localized calcium transients directly probe signalling mechanisms in skeletal muscle.The Journal of physiology · 2012Article
- Calcium waves with fast buffers and mechanical effects.Journal of mathematical biology · 2011Article
- Spatially resolved simulations of membrane reactions and dynamics: multipolar reaction DPD.The European physical journal. E, Soft matter · 2009Article
- Traveling waves in the discrete fast buffered bistable system.Journal of mathematical biology · 2007Article
- Are buffers boring? Uniqueness and asymptotical stability of traveling wave fronts in the buffered bistable system.Journal of mathematical biology · 2007Article
- A model of calcium waves in pancreatic and parotid acinar cells.Biophysical journal · 2003Article
- Underlying mechanisms of symmetric calcium wave propagation in rat ventricular myocytes.Biophysical journal · 2001Article
- An image-based model of calcium waves in differentiated neuroblastoma cells.Biophysical journal · 2000Article
- Morphological control of inositol-1,4,5-trisphosphate-dependent signals.The Journal of cell biology · 1999Article
- Determination of time-dependent inositol-1,4,5-trisphosphate concentrations during calcium release in a smooth muscle cell.Biophysical journal · 1999Article
- Mitochondrial Ca2+ uptake and release influence metabotropic and ionotropic cytosolic Ca2+ responses in rat oligodendrocyte progenitors.The Journal of physiology · 1998Article
- Image analysis of Ca2+ signals as a basis for neurotoxicity assays: promises and challenges.Neurotoxicology and teratologyReview
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Authors and funding
4 authors.
Funding
Abstract
We present a theoretical analysis of intracellular calcium waves propagated by calcium feedback at the inositol 1,4,5-trisphosphate (IP3) receptor. The model includes essential features of calcium excitability, but is still analytically tractable. Formulas are derived for the wave speed, amplitude, and width. The calculations take into account cytoplasmic Ca buffering, the punctate nature of the Ca release channels, channel inactivation, and Ca pumping. For relatively fast buffers, the wave speed is well approximated by V(infinity) = (J(eff)D(eff)/C0)1/2, where J(eff) is an effective, buffered source strength; D(eff) is the effective, buffered diffusion constant of Ca; and C(0) is the Ca threshold for channel activation. It is found that the saturability and finite on-rate of buffers must be taken into account to accurately derive the wave speed and front width. The time scale governing Ca wave propagation is T(r), the time for Ca release to reach threshold to activate further release. Because IP3 receptor inactivation is slow on this time scale, channel inactivation does not affect the wave speed. However, inactivation competes with Ca removal to limit wave height and front length, and for biological parameter ranges, it is inactivation that determines these parameters. Channel discreteness introduces only small corrections to wave speed relative to a model in which Ca is released uniformly from the surface of the stores. These calculations successfully predict experimental results from basic channel and cell parameters and explain the slowing of waves by exogenous buffers.
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