- Access by Xinjiang University
Internal noise stochastic resonance for intracellular calcium oscillations in a cell system
Phys. Rev. E 71, 061916 – Published 23 June, 2005
DOI: https://doi.org/10.1103/PhysRevE.71.061916
Abstract
By constructing a mesoscopic stochastic model for intracellular calcium oscillations in a cell system, we have investigated how the internal noise would influence the calcium oscillations of such a system using stochastic simulation methods and chemical Langevin method. It is found that stochastic calcium oscillations appear when the internal noise is considered, while the deterministic model only yields steady state. The performance of such oscillations undergoes a maximum with the variation of the internal noise level, indicating the occurrence of internal noise stochastic resonance. Interestingly, we find that the optimal system size matches well with the real cell size when the control parameter is tuned near the left Hopf bifurcation point, and such a match is robust to the variation of the control parameters.
Article Text
References (38)
- R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981).
- L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
- L. F. Yang, Z. H. Hou, and H. W. Xin, J. Chem. Phys. 110, 3591 (1999).
- D. Petracchi, Ilse C. Gebeshuber, L. J. DeFelice, and A. V. Holden, Chaos, Solitons Fractals 11, 1819 (2000).
- J. W. Shuai and P. Jung, Phys. Rev. Lett. 88, 068102 (2002).
- J. W. Shuai and P. Jung, Proc. Natl. Acad. Sci. U.S.A. 100, 506 (2003).
- P. Jung and J. W. Shai, Europhys. Lett. 56, 29 (2001).
- G. Schimid, I. Goychuk, and P. Hanggi, Europhys. Lett. 56, 22 (2001).
- G. Schmid, I. Goychuk, and P. Hanggi, Lect. Notes Phys. 625, 195 (2003).
- Z. H. Hou and H. W. Xin, ChemPhysChem 5, 407 (2004).
- Z. H. Hou and H. W. Xin, J. Chem. Phys. 119, 11508 (2003).
- Yubing Gong, Zhonghuai Hou, and Houwen Xin, J. Phys. Chem. B 108, 17796 (2004).
- M. S. Wang, Z. H. Hou, and H. W. Xin, ChemPhysChem 5, 1602 (2004).
- M. J. Berridge, Nature (London) 361, 315 (1993).
- For a recent review, see M. Falcke, Adv. Phys. 53, 255 (2004).
- M. J. Berridge, J. Exp. Biol. 200, 315 (1997).
- Ricardo E. Dolmetsch, Keli Xu, and Richard S. Lewis, Nature (London) 392, 933 (1998).
- M. J. Berridge, M. D. Bootman, and P. Lipp, Nature (London) 395, 645 (1998).
- Leonhard Laer, Mirko Kloppstech, Christof Schofl, Terrence J. Sejnowski, Georg Brabant, and Klaus Prank, Biophys. Chem. 91, 157 (2001).
- Matjaž Perc and Marko Marhl, Phys. Lett. A 316, 304 (2003).
- Q. S. Li and P. Wang, Chem. Phys. Lett. 387, 383 (2004).
- Ertugrul M. Ozbudak, Mukund Thattai, Iren Kurtser, Alan D. Grossman, and Alexander van Oudenaarden, Nat. Genet. 31, 69 (2002).
- Michael B. Elowitz, Arnold J. Levine, Eric D. Siggia, and Peter S. Swain, Science 297, 1183 (2002).
- William J. Blake, Mads Kærn, Charles R. Cantor, and J. J. Collins, Nature (London) 422, 633 (2003).
- Farren J. Isaacs, Jeff Hasty, Charles R. Cantor, and J. J. Collins, Proc. Natl. Acad. Sci. U.S.A. 100, 7714 (2003).
- A. Goldbeter, G. Dupont, and M. J. Berridge, Proc. Natl. Acad. Sci. U.S.A. 87, 1461 (1990).
- M. E. Gracheva and D. Gunton, J. Theor. Biol. 221, 513 (2003).
- Y. Jia, L. J. Yang, D. Wu, Q. Liu, and X. Zhan, Chin. Phys. Lett. 21, 1666 (2004).
- N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
- D. T. Gillespie, J. Phys. Chem. 81, 2340 (1977).
- M. E. Gracheva, R. Toral, and J. D. Gunton, J. Theor. Biol. 212, 111 (2001).
- D. T. Gillespie, J. Chem. Phys. 115, 1716 (2001).
- D. T. Gillespie, J. Chem. Phys. 113, 297 (2000).
- T. Höfer, Biophys. J. 77, 1244 (1999).
- C. V. Rao and A. P. Arkin, J. Chem. Phys. 118, 4999 (2003).
- J. A. White, J. T. Rubinstein, and A. R. Kay, Trends Neurosci. 23, 131 (2000).
- R. Thul and M. Falcke, Phys. Rev. Lett. 93, 188103 (2004).
- M. Falcke, Biophys. J. 84, 42 (2003).