Skip to main content
Log in

Modified Langevin approach for a stochastic calcium puff model

  • Regular Article
  • Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

In many cell types, intracellular calcium is released from internal stores through calcium release channels. Because these channels are distributed in clusters with a few tens of channels, the clusters show a strongly stochastic open and close dynamics, resulting in noisy localized Ca2+ signals called puffs. Using the Li-Rinzel model we compare the stochastic channel simulations for the Markov method and three different Langevin approaches. We suggest that a modified Langevin approach should be considered in order to more accurately simulate Markov channel noise for puff dynamics.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.J. Berridge, M.D. Bootman, P. Lipp, Nature 395, 645 (1998)

    Article  ADS  Google Scholar 

  2. J.K. Foskett, C. White, K.H. Cheung, D.O. Mak, Physiol. Rev. 87, 593 (2007)

    Article  Google Scholar 

  3. M. Fill, J.A. Copello, Physiol. Rev. 82, 893 (2002)

    Google Scholar 

  4. I. Parker, J. Choi, Y. Yao, Cell Calcium 20, 105 (1996)

    Article  Google Scholar 

  5. I.F. Smith, S.M. Wiltgen, J.W. Shuai, I. Parker, Science Signaling 2, ra77 (2009)

    Article  Google Scholar 

  6. M.D. Bootman, M.J. Berridge, P. Lipp, Cell 91, 367 (1997)

    Article  Google Scholar 

  7. H.P. Cheng, W.J. Lederer, Physiol. Rev. 88, 1491 (2008)

    Article  Google Scholar 

  8. I.F. Smith, I. Parker, Proc. Natl. Acad. Sci USA 106, 6404 (2009)

    Article  ADS  Google Scholar 

  9. J.W. Shuai, P. Jung, Biophys. J. 83, 87 (2002)

    Article  ADS  Google Scholar 

  10. J.W. Shuai, P. Jung, Phys. Rev. Lett. 95, 1145011 (2005)

    Article  Google Scholar 

  11. D.T. Gillespie, J. Phys. Chem. 81, 2340 (1977)

    Article  Google Scholar 

  12. S. Rüdiger, J.W. Shuai, W. Huisinga, C. Nagaiah, G. Warnecke, I. Parker, M. Falckey, Biophys. J. 93, 1847 (2007)

    Article  Google Scholar 

  13. J.W. Shuai, P. Jung, Phys. Rev. Lett. 88, 0681021 (2002)

    Article  Google Scholar 

  14. R.F. Fox, Y. Lu, Phys. Rev. E 49, 3421 (1994)

    Article  ADS  Google Scholar 

  15. R.F. Fox, Biophys. J 72, 2068 (1997)

    Article  Google Scholar 

  16. B. Sengupta, S.B. Laughlin, J.E. Niven, Phys. Rev. E 81, 01191801 (2010)

    Google Scholar 

  17. J.H. Goldwyn, N.S. Imennov, M. Famulare, E. Shea-Brown, Phys. Rev. E 83, 04190801 (2011)

    Google Scholar 

  18. G. Schmid, I. Goychuk, P. Hanggi, Europhys. Lett. 56, 22 (2001)

    Article  ADS  Google Scholar 

  19. G. Schmid, I. Goychuk, P. Hanggi, Phys. Biol. 3, 248 (2006)

    Article  ADS  Google Scholar 

  20. I.C. Bruce, Ann. Biomed. Eng. 35, 315 (2006)

    Article  Google Scholar 

  21. Y.X. Li, J. Rinzel, J. Theor. Biol. 166, 461 (1994)

    Article  Google Scholar 

  22. J.W. Shuai, P. Jung, Langevin Modeling of Intracellular Calcium Signaling, in Understanding Calcium Dynamics: Experiment and Theory, edited by M. Falcke, D. Malchow (Springer-Verlag Heidelberg, 2003), Vol. 623, pp. 231 − 252.

  23. G.W. De Young, J. Keizer, Proc. Natl. Acad. Sci. USA 89, 9895 (1992)

    Article  ADS  Google Scholar 

  24. J.W. Shuai, R. Sheng, P. Jung, Phys. Rev. E 81, 0519131 (2010)

    Google Scholar 

  25. R. Sheng, S. Rüdiger, J.W. Shuai, Physica A 390, 1117 (2011)

    Article  ADS  Google Scholar 

  26. S. Rüdiger, J.W. Shuai, I.M. Sokolov, Phys. Rev. Lett. 105, 0481031 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. W. Shuai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, Y.D., Rüdiger, S. & Shuai, J.W. Modified Langevin approach for a stochastic calcium puff model. Eur. Phys. J. B 83, 401 (2011). https://doi.org/10.1140/epjb/e2011-20517-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2011-20517-y

Keywords

Navigation