The Timing Statistics of Spontaneous Calcium Release in Cardiac Myocytes

PLoS ONE

Volumn 8, Issue 5, 2013, Pages

  Asfaw, Mesfin ^a   Alvarez Lacalle, Enric ^b   Shiferaw, Yohannes ^a  

^a CALIFORNIA STATE UNIVERSITY   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARRHYTHMOGENESIS; ARTICLE; CALCIUM TRANSPORT; CELL SYNCHRONIZATION; HEART CYCLE; HEART MUSCLE CELL; HEART MUSCLE EXCITABILITY; MATHEMATICAL MODEL; PROBABILITY; QUANTITATIVE ANALYSIS; BIOLOGICAL MODEL; HEART ARRHYTHMIA; HUMAN; METABOLISM; PATHOPHYSIOLOGY; SARCOPLASMIC RETICULUM; TIME;

CALCIUM;

ARRHYTHMIAS, CARDIAC; CALCIUM; HUMANS; MODELS, CARDIOVASCULAR; MYOCYTES, CARDIAC; SARCOPLASMIC RETICULUM; TIME FACTORS;

EID: 84877867254     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0062967     Document Type: Article

References (45)

1. Haissaguerre M, Jais P, Shah DC, Takahashi A, Hocini M, et al. (1998) Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins. N Engl J Med 339: 659-666.
2. Antzelevitch C, Sicouri S, (1994) Clinical relevance of cardiac arrhythmias generated by afterdepolarizations. Role of M cells in the generation of U waves, triggered activity and torsade de pointes. J Am Coll Cardiol 23: 259-277.
3. Shiferaw Y, Aistrup GL, Wasserstrom JA, (2012) Intracellular Ca2+ waves, afterdepolarizations, and triggered arrhythmias. Cardiovasc Res 95: 265-268.
4. Xie Y, Sato D, Garfinkel A, Qu Z, Weiss JN, (2010) So little source, so much sink: requirements for afterdepolarizations to propagate in tissue. Biophys J 99: 1408-1415.
5. Chen W, Asfaw M, Shiferaw Y, (2012) The statistics of calcium-mediated focal excitations on a one-dimensional cable. Biophys J 102: 461-471.
6. Weiss JN, Qu Z, Chen PS, Lin SF, Karagueuzian HS, et al. (2005) The dynamics of cardiac fibrillation. Circulation 112: 1232-1240.
7. Ter Keurs HE, Boyden PA, (2007) Calcium and arrhythmogenesis. Physiol Rev 87: 457-506.
8. January CT, Fozzard HA, (1988) Delayed afterdepolarizations in heart muscle: mechanisms and relevance. Pharmacol Rev 40: 219-227.
9. Laurita KR, Rosenbaum DS, (2008) Mechanisms and potential therapeutic targets for ventricular arrhythmias associated with impaired cardiac calcium cycling. J Mol Cell Cardiol 44: 31-43.
10. Bers DM, (2002) Cardiac excitation-contraction coupling. Nature 415: 198-205.
11. Cheng H, Lederer WJ, (2008) Calcium sparks. Physiol Rev 88: 1491-1545.
12. Stuyvers BD, Boyden PA, ter Keurs HE, (2000) Calcium waves: physiological relevance in cardiac function. Circ Res 86: 1016-1018.
13. Chen W, Aistrup G, Wasserstrom JA, Shiferaw Y, (2011) A mathematical model of spontaneous calcium release in cardiac myocytes. Am J Physiol Heart Circ Physiol 300: H1794-1805.
14. Wasserstrom JA, Shiferaw Y, Chen W, Ramakrishna S, Patel H, et al. (2010) Variability in timing of spontaneous calcium release in the intact rat heart is determined by the time course of sarcoplasmic reticulum calcium load. Circ Res 107: 1117-1126.
15. Chen W, Wasserstrom JA, Shiferaw Y, (2009) Role of coupled gating between cardiac ryanodine receptors in the genesis of triggered arrhythmias. Am J Physiol Heart Circ Physiol 297: H171-180.
16. Falcke M, (2003) On the role of stochastic channel behavior in intracellular Ca2+ dynamics. Biophys J 84: 42-56.
17. Skupin A, Kettenmann H, Winkler U, Wartenberg M, Sauer H, et al. (2008) How does intracellular Ca2+ oscillate: by chance or by the clock? Biophys J 94: 2404-2411.
18. Ramay HR, Liu OZ, Sobie EA, (2011) Recovery of cardiac calcium release is controlled by sarcoplasmic reticulum refilling and ryanodine receptor sensitivity. Cardiovasc Res 91: 598-605.
19. Hinch R, (2004) A mathematical analysis of the generation and termination of calcium sparks. Biophys J 86: 1293-1307.
20. Thul R, Falcke M, (2006) Frequency of elemental events of intracellular Ca(2+) dynamics. Phys Rev E Stat Nonlin Soft Matter Phys 73: 061923.
21. Schendel T, Thul R, Sneyd J, Falcke M, (2012) How does the ryanodine receptor in the ventricular myocyte wake up: by a single or by multiple open L-type Ca2+ channels? Eur Biophys J 41: 27-39.
22. Thurley K, Skupin A, Thul R, Falcke M, (2012) Fundamental properties of Ca2+ signals. Biochim Biophys Acta 1820: 1185-1194.
23. Rovetti R, Das D, Shiferaw Y, (2007) Macroscopic consequences of calcium signaling in microdomains: A first passage time approach. Phys Rev E Stat Nonlin Soft Matter Phys 76: 051920.
24. Groff JR, Smith GD, (2008) Ryanodine receptor allosteric coupling and the dynamics of calcium sparks. Biophys J 95: 135-154.
25. Thurley K, Falcke M, (2011) Derivation of Ca2+ signals from puff properties reveals that pathway function is robust against cell variability but sensitive for control. Proc Natl Acad Sci U S A 108: 427-432.
26. Moenke G, Falcke M, Thurley K, (2012) Hierarchic stochastic modelling applied to intracellular Ca(2+) signals. PLoS One 7: e51178.
27. Baddeley D, Jayasinghe ID, Lam L, Rossberger S, Cannell MB, et al. (2009) Optical single-channel resolution imaging of the ryanodine receptor distribution in rat cardiac myocytes. Proc Natl Acad Sci U S A 106: 22275-22280.
28. Langer GA, Peskoff A, (1997) Role of the diadic cleft in myocardial contractile control. Circulation 96: 3761-3765.
29. Restrepo JG, Weiss JN, Karma A, (2008) Calsequestrin-mediated mechanism for cellular calcium transient alternans. Biophys J 95: 3767-3789.
30. Wang SQ, Stern MD, Rios E, Cheng H, (2004) The quantal nature of Ca2+ sparks and in situ operation of the ryanodine receptor array in cardiac cells. Proc Natl Acad Sci U S A 101: 3979-3984.
31. Kettlun C, Gonzalez A, Rios E, Fill M, (2003) Unitary Ca2+ current through mammalian cardiac and amphibian skeletal muscle ryanodine receptor Channels under near-physiological ionic conditions. J Gen Physiol 122: 407-417.
32. Mejia-Alvarez R, Kettlun C, Rios E, Stern M, Fill M, (1999) Unitary Ca2+ current through cardiac ryanodine receptor channels under quasi-physiological ionic conditions. J Gen Physiol 113: 177-186.
33. Sobie EA, Dilly KW, dos Santos Cruz J, Lederer WJ, Jafri MS, (2002) Termination of cardiac Ca(2+) sparks: an investigative mathematical model of calcium-induced calcium release. Biophys J 83: 59-78.
34. Shannon TR, Wang F, Puglisi J, Weber C, Bers DM, (2004) A mathematical treatment of integrated Ca dynamics within the ventricular myocyte. Biophys J 87: 3351-3371.
35. Pury P, Caceres M, (2003) Mean first-passage and residence times of random walks on asymmetric disordered chains. J Phys A: Math Gen 36: 2695.
36. Doering C, Sargsyan K, Sander L, (2005) Extinction Times for Birth-Death. SIAM Journal of Multiscale Modeling & Simulations 3: 283-299.
37. Nivala M, de Lange E, Rovetti R, Qu Z, (2012) Computational modeling and numerical methods for spatiotemporal calcium cycling in ventricular myocytes. Front Physiol 3: 114.
38. Schlotthauer K, Bers DM, (2000) Sarcoplasmic reticulum Ca(2+) release causes myocyte depolarization. Underlying mechanism and threshold for triggered action potentials. Circ Res 87: 774-780.
39. Takamatsu T, Wier WG, (1990) Calcium waves in mammalian heart: quantification of origin, magnitude, waveform, and velocity. Faseb J 4: 1519-1525.
40. Wasserstrom JA, Shiferaw Y, Chen W, Ramakrishna S, Patel H, et al. Variability in timing of spontaneous calcium release in the intact rat heart is determined by the time course of sarcoplasmic reticulum calcium load. Circ Res 107: 1117-1126.
41. Lakatta EG, Capogrossi MC, Kort AA, Stern MD, (1985) Spontaneous myocardial calcium oscillations: overview with emphasis on ryanodine and caffeine. Fed Proc 44: 2977-2983.
42. Nivala M, Ko CY, Nivala M, Weiss JN, Qu Z, (2012) Criticality in intracellular calcium signaling in cardiac myocytes. Biophys J 102: 2433-2442.
43. Belevych AE, Terentyev D, Terentyeva R, Ho HT, Gyorke I, et al. (2012) Shortened Ca2+ signaling refractoriness underlies cellular arrhythmogenesis in a postinfarction model of sudden cardiac death. Circ Res 110: 569-577.
44. Lindenberg K, West B, (1986) The first, the biggest, and other such considerations. Journal of Statistical Physics 42: 201.
45. Gardiner C (1985) Handbook of stochastic methods for physics, chemistry, and the natural sciences. Berlin;New York: Springer-Verlag.