Stochastic and spatial influences on drug-induced bifurcations in cardiac tissue culture

Physical Review Letters

Volumn 103, Issue 5, 2009, Pages

  Kim, Min Young ^a,b   Aguilar, Martin ^a   Hodge, Alex ^a   Vigmond, Edward ^c   Shrier, Alvin ^a   Glass, Leon ^a  

^a MCGILL UNIVERSITY   (Canada)

^b Korea Research Institute of Standards and Science   (South Korea)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CARDIAC ARRHYTHMIA; CARDIAC TISSUES; COMPLEX BIFURCATION; DRUG DIFFUSION; HEART CELLS; IONIC CURRENT; POTASSIUM CHANNELS; STOCHASTIC EVENTS; STOCHASTIC PARTIAL DIFFERENTIAL EQUATION; SUB-CELLULAR;

BIFURCATION (MATHEMATICS); CELL CULTURE; DIFFERENTIAL EQUATIONS; POTASSIUM; STOCHASTIC PROGRAMMING; TISSUE CULTURE;

STOCHASTIC MODELS;

EID: 68749108396     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.103.058101     Document Type: Article

References (27)

1. A. Pick and R. Langendorf, Interpretation of Complex Arrhythmias (Lea & Febiger, Philadelphia, 1979).
2. J.N. Weiss, A. Karma, Y. Shiferaw, P.S. Chen, A. Garfinkel, and Z. Qu, Circ. Res. 98, 1244 (2006). CIRUAL 0009-7330 10.1161/01.RES.0000224540.97431.f0
3. D. Sato, L. Xie, A.A. Sovari, D.X. Tran, N. Morita, F. Xie, H. Karagueuzian, A. Garfinkel, J.N. Weiss, and Z. Qu, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 106, 2983 (2009). 10.1073/pnas.0809148106
4. A. Shrier and J.R. Clay, Biophys. J. 50, 861 (1986). BIOJAU 0006-3495 10.1016/S0006-3495(86)83527-5
5. R. Wilders and H.J. Jongsma, Biophys. J. 65, 2601 (1993). BIOJAU 0006-3495 10.1016/S0006-3495(93)81289-X
6. T. Krogh-Madsen, P. Schaffer, A.D. Skriver, L.K. Taylor, B. Pelzmann, B. Koidl, and M.R. Guevara, Am. J. Physiol., Heart Circ. Physiol. 0363-6135 289, H398 (2005). 10.1152/ajpheart.00683.2004
7. A.J. Tanskanen, J.L. Greenstein, B. O'Rourke, and R. Winslow, Biophys. J. 88, 85 (2005). BIOJAU 0006-3495 10.1529/biophysj.104.051508
8. J. García-Ojalvo and J.M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
9. A. Hutt, A. Longtin, and L. Schimansky-Geier, Phys. Rev. Lett. 98, 230601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.230601
10. V. Schulte-Frohlinde, Y. Ashkenazy, P.C. Ivanov, L. Glass, A.L. Goldberger, and H.E. Stanley, Phys. Rev. Lett. 87, 068104 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.068104
11. C. Lerma, T. Krogh-Madsen, M.R. Guevara, and L. Glass, J. Stat. Phys. 128, 347 (2007). JSTPSB 0022-4715 10.1007/s10955-006-9191-y
12. G.X. Yan, Y. Wu, T. Liu, J. Wang, R.A. Marinchak, and P.R. Kowey, Circulation 103, 2851 (2001). CIRCAZ 0009-7322
13. R.S. Lankipalli, T. Zhu, D. Guo, and G.X. Yan, J. Electrocardiol. 38, 69 (2005). JECAB4 0022-0736 10.1016/j.jelectrocard.2005.06.008
14. A. Burashnikov and C. Antzelevitch, Pacing Clin. Electrophysiol. 0147-8389 29, 290 (2006). 10.1111/j.1540-8159.2006.00336.x
15. B. Fermini and A.A. Fossa, Nat. Rev. Drug Discov. 2, 439 (2003). NRDDAG 1474-1776 10.1038/nrd1108
16. M.C. Sanguinetti and M. Tristani-Firouzi, Nature (London) 440, 463 (2006). NATUAS 0028-0836 10.1038/nature04710
17. S.M. Hwang, K.H. Yea, and K.J. Lee, Phys. Rev. Lett. 92, 198103 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.198103
18. S. Hwang, T.Y. Kim, and K.J. Lee, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 102, 10363 (2005). 10.1073/pnas.0501539102
19. R.L. DeHaan, Dev. Biol. 16, 216 (1967). DEBIAO 0012-1606 10.1016/0012-1606(67)90025-5
20. M.R. Guevara, A. Shrier, and L. Glass, Am. J. Physiol., Heart Circ. Physiol. 0363-6135 251, H1298 (1986).
21. V.C. Kowtha, A. Kunysz, J.R. Clay, L. Glass, and A. Shrier, Prog. Biophys. Molec. Biol. 61, 255 (1994). PBIMAC 0079-6107 10.1016/0079-6107(94) 90002-7
22. E.J. Vigmond, R. Weber dos Santos, A.J. Prassl, M. Deo, and G. Plank, Prog. Biophys. Molec. Biol. PBIMAC 0079-6107 96, 3 (2008). 10.1016/j.pbiomolbio. 2007.07.012
23. H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids (Clarendon Press, Oxford, 1959), 2nd ed.
24. See EPAPS Document No. E-PRLTAO-103-082930 for details on the ionic models and theoretical computations. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.
25. P. Channell, G. Cymbalyuk, and A. Shilnikov, Phys. Rev. Lett. 98, 134101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.134101
26. Q. Lu, Z. Yang, L. Duan, H. Gu, and W. Ren, Chaos Solitons Fractals CSFOEH 0960-0779 40, 577 (2009). 10.1016/j.chaos.2007.08.040
27. C. Lerma, C.F. Lee, L. Glass, and A.L. Goldberger, J. Electrocardiol. 40, 78 (2007). JECAB4 0022-0736 10.1016/j.jelectrocard.2006.04.011