Modeling Calcium Wave Based on Anomalous Subdiffusion of Calcium Sparks in Cardiac Myocytes

PLoS ONE

Volumn 8, Issue 3, 2013, Pages

  Chen, Xi ^a   Kang, Jianhong ^a   Fu, Ceji ^a   Tan, Wenchang ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BUFFER; CALCIUM ION;

ARTICLE; CALCIUM SIGNALING; CALCIUM SPARK; CALCIUM TRANSPORT; COLLISION; CONCENTRATION (PARAMETERS); DIFFUSION; EXCITATION CONTRACTION COUPLING; HEART MUSCLE CELL; MATHEMATICAL MODEL; STOCHASTIC MODEL;

ANIMALS; BUFFERS; CALCIUM SIGNALING; COLORING AGENTS; DIFFUSION; MODELS, BIOLOGICAL; MYOCYTES, CARDIAC; TIME FACTORS;

EID: 84874612409     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0057093     Document Type: Article

References (19)

1. Cheng H, Lederer W, Cannell M, (1993) Calcium sparks: elementary events underlying excitationccontraction coupling in heart muscle. Science 262: 740-744.
2. Cheng H, Lederer M, Xiao R, Gomez A, Zhou Y, et al. (1996a) Excitation-contraction coupling in heart: new insights from ca2+ sparks. Cell Calcium 20: 129-140.
3. Cannell M, Cheng H, Lederer W, (1995) The control of calcium release in heart muscle. Cell Calcium 268: 1045-1049.
4. Lopez-Lopez J, Shacklock P, Balke C, Wier W, (1995) Local calcium transients triggered by single l-type calcium channel currents in cardiac cells. Science 268: 1042-1045.
5. Fabiato A, (1985) 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.
6. Lakatta E, Guarnieri T, (1993) Spontaneous myocardial calcium oscillations: Are they linked to ventricular fibrillation. J Cardiovasc Electrophysiol 44: 73-89.
7. Izu L, Mauban J, Balke C, Wier W, (2001a) Large currents generate cardiac ca2+ sparks. Biophys J 80: 88-102.
8. Tan W, Fu C, Xie W, Cheng H, (2007) An anomalous subdiffusion model for calcium spark in cardiac myocytes. Appl Phys Lett 91: 183901.
9. Cheng H, Lederer W, (2008) Calcium sparks. Physiol Rev 88: 1491-1545.
10. Li K, Fu C, Cheng H, Tan W, (2011) Anomalous subdiffusion of calcium spark in cardiac myocytes. Cell Mol Bioeng 4: 457-465.
11. Girard S, Luckhoff A, Lechleiter J, Sneyd J, Clapham D, (1992) Two-dimensional model of calcium waves reproduces the patterns observed in xenopus oocytes. Biophys J 61: 509-517.
12. Keizer J, Smith G, (1998) Spark-to-wave transition: saltatory transmission of calcium waves in cardiac myocytes. Biophys Chem 72: 87-100.
13. Izu L, Gil W, William B, (2001b) Evolution of cardiac calcium waves from stochastic calcium sparks. Biophys J 80: 103-120.
14. Lu L, Xia L, Ye X, Cheng H, (2010) Simulation of the effect of rogue ryanodine receptors on a calcium wave in ventricular myocytes with heart failure. Phys Biol 7: 026005.
15. Baylor S, Hollingworth S, (1998) Model of sarcomeric ca2+ movements, including atp ca2+ binding and diffusion, during activation of frog skeletal muscle. J Gen Physiol 112: 297-316.
16. Charles T, Mark M, Hans-Peter S, (2006) A second-order accurate numerical approximation for the fractional diffusion equation. J Comput Phys 213: 205-213.
17. Cheng H, Lederer M, Lederer W, Cannell M, (1996b) Calcium sparks and [ca2+]i waves in cardiac myocytes. Am J Physiol 39: C148-C159.
18. John C, Lionel F, Ellis B, George T, (1978) A free calcium wave tranverses the activating egg of the medaka, oryzias latipes. J Cell Biology 76: 448-466.
19. Takamatsu K, Wier W, (1990) Calcium waves in mammalian heart: quantification of origin, magnitude, waveform, and velocity. J Cell Biology 4: 1519-1525.