Abstract
Detailed knowledge of spatial-temporal behaviours of intracellular calcium dynamics is very important in understanding excitation-contraction coupling of cardiac myocytes under both normal and pathological conditions, such as initiation and propagation of spontaneous calcium waves. A full cell simulation integrating about 10,000 Ca2 + release units (CRUs) in a typical cardiac myocyte is considered a multi-scale, computationally demanding problem. In this paper, we imported an experimentally obtained spatial distribution of Ryanodine Receptor (RyR) clusters into a spatially extended, stochastic model of intracellular Ca2 + dynamics, to investigate the role of the structural bifurcation of Z-disks on the initiation and propagation of intracellular Ca2 + waves from spatially symmetric Ca2 + sparks. Besides, we also proposed a simple parallelization strategy to increase computational speed for this chanllenging problem in cardiac modelling.
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Cheng, H., Lederer, W.J.: Calcium sparks. Physiol. Rev. 88, 1491–1545 (2008)
Hake, J., Lines, G.T.: Stochastic binding of calcium ions in the dyadic cleft: continuous versus random walk description of diffusion. Biophys J. 94, 4184–4201 (2008)
Hinch, R., Greenstein, J.L., Winslow, R.L.: Multi-scale models of local control of calcium induced calcium release. Prog. Biophys. Mol. Biol. 90, 136–150 (2006)
Soeller, C., Crossman, D., Gilbert, R., Cannell, M.B.: Analysis of ryanodine receptor clusters in rat and human cardiac myocytes. PNAS 104, 14958–14963 (2007)
Eisner, D.A., Venetucci, L.A., Trafford, A.W.: Life, sudden death, and intracellular calcium. Circ. Res. 99, 223–224 (2006)
Hinch, R., Greenstein, J.L., Tanskanen, A.J., Xu, L., Winslow, R.L.: A simplified local control model of calcium-induced calcium release in cardiac ventricular myocytes. Biophys. J. 87, 3723–3736 (2004)
Hinch, R.: A mathematical analysis of the generation and termination of calcium sparks. Biophys. J. 86, 1293–1307 (2004)
Banyasz, T., Chen-Izu, Y., Balke, C.W., Izu, L.T.: A new approach to the detection and statistical classification of Ca2+ sparks. Biophys. J. 92, 4458–4465 (2007)
Izu, L.T., Wier, W.G., Balke, C.W.: Evolution of cardiac calcium waves from stochastic calcium sparks. Biophys. J. 80, 103–120 (2001)
Izu, L.T., Means, S.A., Shadid, J.N., Izu, C.Y., Balke, W.C.: Interplay of ryanodine receptor distribution and calcium Dynamics. Biophys. J. 91, 95–112 (2006)
Li, P., Lancaster, M., Holden, A.V.: A three dimensional ventricular E-Cell (3Dv E-Cell) with stochastic intracellular calcium handling. In: Sachse, F.B., Seemann, G. (eds.) FIMH 2007. LNCS, vol. 4466, pp. 180–189. Springer, Heidelberg (2007)
Thul, R., Falke, M.: Release currents of IP(3) receptor channel clusters and concentration profiles. Biophys. J. 86, 2660–2673 (2004)
Pacheco, P.S.: Parallel programming with MPI. Morgan Kaufmann Publishers, San Francisco (1997)
Soeller, C., Jayasinghe, I.D., Li, P., Holden, A.V., Cannell, M.B.: 3D high resolution imaging of cardiac proteins to construct models of intracellular Ca2+ signalling. Exp. Physiol. (2009), doi:10.1113/expphysiol.2008.043976
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Li, P., Wei, W., Cai, X., Soeller, C., Cannell, M.B., Holden, A.V. (2009). Evolution of Intracellular Ca2 + Waves from about 10,000 RyR Clusters: Towards Solving a Computationally Daunting Task. In: Ayache, N., Delingette, H., Sermesant, M. (eds) Functional Imaging and Modeling of the Heart. FIMH 2009. Lecture Notes in Computer Science, vol 5528. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01932-6_2
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DOI: https://doi.org/10.1007/978-3-642-01932-6_2
Publisher Name: Springer, Berlin, Heidelberg
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