Anomalous subdiffusion of calcium spark in cardiac myocytes

Cellular and Molecular Bioengineering

Volumn 4, Issue 3, 2011, Pages 457-465

  Li, Kaitao ^a   Fu, Chaoqi ^a   Cheng, Heping ^a   Tan, Wenchang ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Anomalous subdiffusion; Calcium spark; FWHM paradox; Numerical simulation

Indexed keywords

ADENOSINE TRIPHOSPHATASE (CALCIUM); CALCIUM ION;

ANIMAL CELL; ANOMALOUS SUBDIFFUSION; ARTICLE; CALCIUM BINDING; CALCIUM CELL LEVEL; CALCIUM HOMEOSTASIS; CALCIUM SPARK; CALCIUM TRANSPORT; CHEMICAL REACTION KINETICS; CONTROLLED STUDY; CYTOSOLIC DIFFUSION; DIFFUSION; DIFFUSION COEFFICIENT; FULL WIDTH AT HALF MAXIMUM PARADOX; HEART MUSCLE CELL; MATHEMATICAL MODEL; MATHEMATICAL PHENOMENA; NONHUMAN; PRIORITY JOURNAL; RAT; SARCOPLASMIC RETICULUM; SENSITIVITY ANALYSIS; SIMULATION;

EID: 81855182161     PISSN: 18655025     EISSN: 18655033     Source Type: Journal    
DOI: 10.1007/s12195-011-0174-y     Document Type: Article

References (27)

1. Cannell, M. B., H. Cheng, and W. J. Lederer. The control of calcium release in heart muscle. Science 268:1045-1049, 1995.
2. Cannell, M. B., and C. Soeller. Numerical analysis of ryanodine receptor activation by L-type channel activity in the cardiac muscle diad. Biophys. J. 73:112-122, 1997. (Pubitemid 27274109)
3. Cheng, H., W. J. Lederer, and M. B. Cannell. Calcium sparks: Elementary events underlying excitation-contraction coupling in heart muscle. Science 262:740-744, 1993. (Pubitemid 23350693)
4. Cheng, H., M. R. Lederer, R. P. Xiao, A. M. Gomez, Y. Y. Zhou, B. Ziman, H. Spurgeon, E. G. Lakatta, and W. J. Lederer. Excitation-contraction coupling in heart: New insights from Ca2+ sparks. Cell Calcium 20:129-140, 1996. (Pubitemid 26326565)
5. Cheng, H., L. S. Song, N. Shirokova, A. Gonzalez, E. G. Lakatta, E. Rios, and M. D. Stern. Amplitude distribution of calcium sparks in confocal images: Theory and studies with an automatic detection method. Biophys. J. 76:606-617, 1999. (Pubitemid 29264545)
6. Fabiato, A. Time and calcium dependence of activation and inactivation of calcium-induced release of calcium from the sarcoplasmic reticulum of a skinned canine cardiac Purkinje cell. J. Gen. Physiol. 85:247-289, 1985. (Pubitemid 15130972)
7. Fix, G. J., and S. L. Lu. A physical interpretation for the fractional derivative in Levy diffusion. Appl. Math. Lett. 15:907-911, 2002.
8. Fu, Y., G. Q. Zhang, X. M. Hao, C. H. Wu, Z. Chai, and S. Q. Wang. Temperature dependence and thermodynamic properties of Ca2+ sparks in rat cardiomyocytes. Biophys. J. 89:2533-2541, 2005. (Pubitemid 41401041)
9. Izu, L. T., J. R. Mauban, C. W. Balke, and W. G. Wier. Large currents generate cardiac Ca2+ sparks. Biophys. J. 80:88-102, 2001.
10. Izu, L. T., W. G. Wier, and C. W. Balke. Theoretical analysis of the Ca2+ spark amplitude distribution. Biophys. J. 75:1144-1162, 1998. (Pubitemid 28397585)
11. Jiang, Y. H., M. G. Klein, and M. F. Schneider. Numerical simulation of Ca(2+) "Sparks" in skeletal muscle. Biophys. J. 77:2333-2357, 1999. (Pubitemid 29519483)
12. Klafter, J., and I. M. Sokolov. Anomalous diffusion spreads its wings. Phys. World 18:29-32, 2005. (Pubitemid 41119744)
13. Klein, M. G., H. Cheng, L. F. Santana, Y. H. Jiang, W. J. Lederer, and M. F. Schneider. Two mechanisms of quantized calcium release in skeletal muscle. Nature 379:455-458, 1996. (Pubitemid 26039526)
14. Kou, S. C., and X. S. Xie. Generalized Langevin equation with fractional Gaussian noise: Subdiffusion within a single protein molecule. Phys. Rev. Lett. 93:180603, 2004.
15. Langer, G. A., and A. Peskoff. Calcium concentration and movement in the diadic cleft space of the cardiac ventricular cell. Biophys. J. 70:1169-1182, 1996. (Pubitemid 26073033)
16. Lopez-Lopez, J. R., P. S. Shacklock, C. W. Balke, and W. G. Wier. Local calcium transients triggered by single L-type calcium channel currents in cardiac cells. Science 268:1042-1045, 1995.
17. Metzler, R., and J. Klafter. Subdiffusive transport close to thermal equilibrium: From the Langevin equation to fractional diffusion. Phys. Rev. E 61:6308-6311, 2000.
18. Nelson, M. T., H. Cheng, M. Rubart, L. F. Santana, A. D. Bonev, H. J. Knot, and W. J. Lederer. Relaxation of arterial smooth muscle by calcium sparks. Science 270:633-637, 1995.
19. Podlubny, I. Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Mathematics in Science and Engineering, Vol. 198. San Diego, CA: Academic Press, 340 pp, 1999.
20. Pratusevich, V. R., and C. W. Balke. Factors shaping the confocal image of the calcium spark in cardiac muscle cells. Biophys. J. 71:2942-2957, 1996. (Pubitemid 26422339)
21. Smith, G. D., J. E. Keizer, M. D. Stern, W. J. Lederer, and H. Cheng. A simple numerical model of calcium spark formation and detection in cardiac myocytes. Biophys. J. 75:15-32, 1998. (Pubitemid 28311793)
22. Soeller, C., and M. B. Cannell. Numerical simulation of local calcium movements during L-type calcium channel gating in the cardiac diad. Biophys. J. 73:97-111, 1997. (Pubitemid 27274108)
23. Tan, W., C. Fu, C. Fu, W. Xie, and H. Cheng. An anomalous subdiffusion model for calcium spark in cardiac myocytes. Appl. Phys. Lett. 91:183901, 2007.
24. Tolic-Norrelykke, I. M., E. L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sorensen. Anomalous diffusion in living yeast cells. Phys. Rev. Lett. 93:078102, 2004.
25. Tsugorka, A., E. Rios, and L. A. Blatter. Imaging elementary events of calcium release in skeletal muscle cells. Science 269:1723-1726, 1995.
26. Weiss, M., M. Elsner, F. Kartberg, and T. Nilsson. Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells. Biophys. J. 87:3518-3524, 2004. (Pubitemid 40468604)
27. Wong, I. Y., M. L. Gardel, D. R. Reichman, E. R. Weeks, M. T. Valentine, A. R. Bausch, and D. A. Weitz. Anomalous diffusion probes microstructure dynamics of entangled F-actin networks. Phys. Rev. Lett. 92:178101, 2004.