Modeling Calcium Wave Based on Anomalous Subdiffusion of Calcium Sparks in Cardiac Myocytes

sparks andwaves play important roles in calcium release and calcium propagation during the excitation-contraction (EC) coupling process in cardiac myocytes. Although the classical Fick’s law is widely used to modelsparks andwaves in cardiac myocytes, it fails to reasonably explain the full-width at half maximum(FWHM) paradox. However, the anomalous subdiffusion model successfully reproducessparks of experimental results. In this paper, in the light of anomalous subdiffusion ofsparks, we develop a mathematical model of calcium wave in cardiac myocytes by using stochasticrelease ofrelease units (CRUs). Our model successfully reproduces calcium waves with physiological parameters. The results reveal howconcentration waves propagate from an initial firing of one CRU at a corner or in the middle of considered region, answer how large in magnitude of an anomalousspark can induce awave. With physiologicalcurrents (2pA) through CRUs, it is shown that an initial firing of four adjacent CRUs can form awave. Furthermore, the phenomenon of calcium waves collision is also investigated.