Chaotic pulse transmission and spiral formation in a calcium oscillation model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 4, 2008, Pages

  Sakaguchi, H ^a   Woafo, P ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; CIRCULAR WAVEGUIDES; MATHEMATICAL MODELS; WAVE PROPAGATION;

CALCIUM OSCILLATION MODELS; CHAOTIC PULSE TRANSMISSION; PULSE TRANSMISSION; SPIRAL FORMATION;

WAVE EQUATIONS;

EID: 42949178991     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.042902     Document Type: Article

References (22)

1. A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
2. S. Jakubith, H. H. Rotermund, W. Engel, A. von Oertzen, and G. Ertl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.3013 65, 3013 (1990).
3. F. X. Witkowski, L. J. Leon, P. A. Penkoske, W. R. Giles, M. L. Spano, W. L. Ditto, and A. T. Winfree, Nature (London) NATUAS 0028-0836 10.1038/32170 392, 78 (1998).
4. A. V. Panfilov and B. N. Vasiev, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90200-S 49, 107 (1991).
5. M. Gómez-Gesteira, J. L. del Castillo, M. E. Vázquez- Iglesias, V. Pérez-Munuzuri, and V. Pérez-Villar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.4646 50, 4646 (1994).
6. M. Bär and M. Eiswirth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.R1635 48, R1635 (1993).
7. A. V. Panfilov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 118101 88, 118101 (2002).
8. H. Sakaguchi and T. Fujimoto, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.067202 67, 067202 (2003).
9. M. J. Berridge, M. D. Bootman, and P. Lipp, Nature (London) NATUAS 0028-0836 10.1038/27094 395, 645 (1998).
10. E. B. Ridgway, J. C. Gilkey, and L. F. Jaffe, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.74.2.623 74, 623 (1977).
11. M. J. Sanderson, A. C. Charles, and E. R. Dirksen, Cell Regul. 1, 585 (1990). 1044-2030
12. A. H. Cornell-Bell, S. M. Finkbeiner, M. S. Cooper, and S. J. Smith, Science SCIEAS 0036-8075 10.1126/science.1967852 247, 470 (1990).
13. T. R. Uhrenholt, T. L. Domeier, and S. S. Segal, Am. J. Physiol. Heart Circ. Physiol. ZZZZZZ 0363-6135 292, H1634 (2007).
14. J. Lechleiter, S. Girard, E. Peralta, and D. Clapham, Science SCIEAS 0036-8075 10.1126/science.2011747 252, 123 (1991).
15. M. E. Harris-White, S. A. Zanotti, S. A. Frautschy, and A. C. Charles, J. Neurophysiol. 79, 1045 (1998). 0022-3077
16. G. Dupont, L. Combettes, and L. Leybaert, Int. Rev. Cytol. 261, 193 (2007). 0074-7696
17. M. Falcke, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730410001703159 53, 255 (2004).
18. M. Falcke, M. Bär, J. D. Lechleiter, and J. L. Hudson, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00324-8 129, 236 (1999).
19. M. Falcke, M. Or-Guil, and M. Bär, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4753 84, 4753 (2000).
20. G. Dupont, A. Goldbeter, and M. J. Berridge, Cell Regul. 1, 853 (1990). 1044-2030
21. W. D. Kepseu and P. Woafo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.041912 73, 041912 (2006).
22. H. Sakaguchi and T. Fujimoto, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.108.241 108, 241 (2002).