ArticleJournal of mathematical biology2008
A bidomain threshold model of propagating calcium waves.
Article in Journal of mathematical biology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Cell type-specific Ca2+ signals govern mouse seminiferous tubule physiology.PLoS biology · 2026Article
- Fundamentals of Cellular Calcium Signaling: A Primer.Cold Spring Harbor perspectives in biology · 2020Review
- What Is Required for Neuronal Calcium Waves? A Numerical Parameter Study.Journal of mathematical neuroscience · 2018Article
- Basis for a neuronal version of Grover's quantum algorithm.Frontiers in molecular neuroscience · 2014Article
- Ca²⁺ waves in the heart.Journal of molecular and cellular cardiology · 2013Review
- Synchrony of cardiomyocyte Ca(2+) release is controlled by T-tubule organization, SR Ca(2+) content, and ryanodine receptor Ca(2+) sensitivity.Biophysical journal · 2013Article
- Dynamic local changes in sarcoplasmic reticulum calcium: physiological and pathophysiological roles.Journal of molecular and cellular cardiology · 2012Review
- Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves.Frontiers in physiology · 2012Article
- Dynamic calcium movement inside cardiac sarcoplasmic reticulum during release.Circulation research · 2011Article
- Calcium oscillations.Cold Spring Harbor perspectives in biology · 2011Review
- Predicting local SR Ca(2+) dynamics during Ca(2+) wave propagation in ventricular myocytes.Biophysical journal · 2010Article
- Modeling calcium waves in cardiac myocytes: importance of calcium diffusion.Frontiers in bioscience (Landmark edition) · 2010Article
Corrections and comments
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Authors and funding
3 authors.
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Abstract
We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca(2+)) in living cells. Modeling Ca(2+) release as a threshold process allows the explicit construction of traveling wave solutions to probe the dependence of Ca(2+) wave speed on physiologically important parameters such as the threshold for Ca(2+) release from the endoplasmic reticulum (ER) to the cytosol, the rate of Ca(2+) resequestration from the cytosol to the ER, and the total [Ca(2+)] (cytosolic plus ER). Interestingly, linear stability analysis of the bidomain fire-diffuse-fire model predicts the onset of dynamic wave instabilities leading to the emergence of Ca(2+) waves that propagate in a back-and-forth manner. Numerical simulations are used to confirm the presence of these so-called 'tango waves' and the dependence of Ca(2+) wave speed on the total [Ca(2+)].
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