Skip to main content

Evolution of Intracellular Ca2 +  Waves from about 10,000 RyR Clusters: Towards Solving a Computationally Daunting Task

  • Conference paper
Functional Imaging and Modeling of the Heart (FIMH 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5528))

  • 2292 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Cheng, H., Lederer, W.J.: Calcium sparks. Physiol. Rev. 88, 1491–1545 (2008)

    Article  Google Scholar 

  2. 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)

    Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. Eisner, D.A., Venetucci, L.A., Trafford, A.W.: Life, sudden death, and intracellular calcium. Circ. Res. 99, 223–224 (2006)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. Hinch, R.: A mathematical analysis of the generation and termination of calcium sparks. Biophys. J. 86, 1293–1307 (2004)

    Article  Google Scholar 

  8. 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)

    Article  Google Scholar 

  9. Izu, L.T., Wier, W.G., Balke, C.W.: Evolution of cardiac calcium waves from stochastic calcium sparks. Biophys. J. 80, 103–120 (2001)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. 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)

    Chapter  Google Scholar 

  12. Thul, R., Falke, M.: Release currents of IP(3) receptor channel clusters and concentration profiles. Biophys. J. 86, 2660–2673 (2004)

    Article  Google Scholar 

  13. Pacheco, P.S.: Parallel programming with MPI. Morgan Kaufmann Publishers, San Francisco (1997)

    MATH  Google Scholar 

  14. 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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01932-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01931-9

  • Online ISBN: 978-3-642-01932-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics