Intercellular calcium waves in the fire-diffuse-fire framework: Green's function for gap-junctional coupling

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

Volumn 82, Issue 5, 2010, Pages

  Harris, Jamie ^a   Timofeeva, Yulia ^b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM DYNAMICS; CALCIUM RELEASE; CALCIUM WAVES; CELLULAR COMMUNICATION; CELLULAR PROCESS; EXACT SOLUTION; GAP JUNCTIONS; IN-CELL; INFINITE ARRAYS; MULTIPLE CELLS; ONE-FORM; REALISTIC MODEL; RESPONSE FUNCTIONS; TRAVELING WAVE; TRAVELING WAVE SOLUTION; TRUNCATED VERSIONS;

CALCIUM; FIRES; PHYSIOLOGICAL MODELS; SOLITONS; WAVE PROPAGATION;

GREEN'S FUNCTION;

EID: 78651303584     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.051910     Document Type: Article

References (47)

1. M. J. Berridge, M. D. Bootman, and H. L. Roderick, Nat. Rev. Mol. Cell Biol. 4, 517 (2003). 10.1038/nrm1155
2. M. J. Berridge, New Comprehensive Biochemistry 41, 485 (2007). 10.1016/S0167-7306(06)41019-X
3. M. J. Sanderson, A. C. Charles, and E. R. Dirksen, Cell Regul. 1, 585 (1990).
4. A. H. Cornell-Bell, S. M. Finkbeiner, M. S. Cooper, and S. J. Smith, Science 247, 470 (1990). 10.1126/science.1967852
5. S. M. Finkbeiner, Neuron 8, 1101 (1992). 10.1016/0896-6273(92)90131-V
6. L. D. Robb-Gaspers and A. P. Thomas, J. Biol. Chem. 270, 8102 (1995) 10.1074/jbc.270.14.8102
7. P. D'Andrea and F. Vittur, Cell Calcium 20, 389 (1996). 10.1016/S0143-4160(96)90001-9
8. D. I. Yule, E. Stuenkel, and J. A. Williams, Am. J. Physiol.: Cell Physiol. 271, C1285 (1996).
9. E. Scemes and C. Giaume, Glia 54, 716 (2006). 10.1002/glia.20374
10. A. C. Charles, S. K. Kodali, and R. F. Tyndale, Mol. Cell. Neurosci. 7, 337 (1996). 10.1006/mcne.1996.0025
11. R. Malhó, A. Moutinho, A. van der Luit, and A. J. Trewavas, Biological Sciences 353, 1463 (1998). 10.1098/rstb.1998.0302
12. S. Boitano, E. R. Dirksen, and M. J. Sanderson, Science 258, 292 (1992). 10.1126/science.1411526
13. M. J. Sanderson, A. C. Charles, S. Boitano, and E. R. Dirksen, Mol. Cell Endocrinol. 98, 173 (1994). 10.1016/0303-7207(94)90136-8
14. T. D. Hassinger, P. B. Guthrie, P. B. Atkinson, M. V. L. Bennett, and S. B. Kater, Proc. Natl. Acad. Sci. U.S.A. 93, 13268 (1996). 10.1073/pnas.93.23. 13268
15. M. K. Frame and A. W. de Feijter, Exp. Cell Res. 230, 197 (1997). 10.1006/excr.1996.3409
16. C. E. Stout, J. L. Costantin, C. C. G. Naus, and A. C. Charles, J. Biol. Chem. 277, 10482 (2002). 10.1074/jbc.M109902200
17. C. Giaume and L. Venance, Glia 24, 50 (1998). 10.1002/(SICI)1098- 1136(199809)24:1<50::AID-GLIA6>3.0.CO;2-4
18. B. Zimmermann and B. Walz, EMBO J. 18, 3222 (1999). 10.1093/emboj/18.12. 3222
19. J. C. Sáez, J. A. Connor, D. C. Spray, and M. V. Bennett, Proc. Natl. Acad. Sci. U.S.A. 86, 2708 (1989). 10.1073/pnas.86.8.2708
20. G. J. Christ, A. P. Moreno, A. Melman, and D. C. Spray, Am. J. Physiol. Cell Physiol. 263, C373 (1992).
21. J. Sneyd, A. C. Charles, and M. J. Sanderson, Am. J. Physiol.: Cell Physiol. 266, C293 (1994).
22. J. Sneyd, T. R. Brian, B. Wetton, A. C. Charles, and M. J. Sanderson, Am. J. Physiol.: Cell Physiol. 268, C1537 (1995).
23. J. Sneyd, J. Keizer, and M. J. Sanderson, FASEB J. 9, 1463 (1995).
24. M. Wilkins and J. Sneyd, J. Theor. Biol. 191, 299 (1998). 10.1006/jtbi.1997.0585
25. T. Höfer, Biophys. J. 77, 1244 (1999). 10.1016/S0006-3495(99)76976-6
26. T. Höfer, A. Politi, and R. Heinrich, Biophys. J. 80, 75 (2001). 10.1016/S0006-3495(01)75996-6
27. T. Höfer, L. Venance, and C. Giaume, J. Neurosci. 22, 4850 (2002).
28. Y. Timofeeva, Ph.D. thesis, Loughborough University, 2003.
29. J. Keizer, G. D. Smith, S. Ponce-Dawson, and J. E. Pearson, Biophys. J. 75, 595 (1998). 10.1016/S0006-3495(98)77550-2
30. J. E. Pearson and S. Ponce-Dawson, Physica A 257, 141 (1998). 10.1016/S0378-4371(98)00136-8
31. S. Ponce Dawson, J. Keizer, and J. E. Pearson, Proc. Natl. Acad. Sci. U.S.A. 96, 6060 (1999). 10.1073/pnas.96.11.6060
32. S. Coombes, Bull. Math. Biol. 63, 1 (2001). 10.1006/bulm.2000.0193
33. Y. Timofeeva and S. Coombes, J. Math. Biol. 47, 249 (2003). 10.1007/s00285-003-0205-y
34. S. Coombes and Y. Timofeeva, Phys. Rev. E 68, 021915 (2003). 10.1103/PhysRevE.68.021915
35. Y. Timofeeva and S. Coombes, Phys. Rev. E 70, 062901 (2004). 10.1103/PhysRevE.70.062901
36. S. Coombes, R. Hinch, and Y. Timofeeva, Prog. Biophys. Mol. Biol. 85, 197 (2004). 10.1016/j.pbiomolbio.2004.01.015
37. R. Thul, G. D. Smith, and S. Coombes, J. Math. Biol. 56, 435 (2008). 10.1007/s00285-007-0123-5
38. R. Thul, S. Coombes, and G. D. Smith, Physica D 238, 2142 (2009). 10.1016/j.physd.2009.08.011
39. L. F. Abbott, E. Fahri, and S. Gutmann, Biol. Cybern. 66, 49 (1991). 10.1007/BF00196452
40. S. Coombes, Y. Timofeeva, C.-M. Svensson, G. J. Lord, K. Josic, S. J. Cox, and C. M. Colbert, Biol. Cybern. 97, 137 (2007). 10.1007/s00422-007-0161-5
41. J. Sneyd and K. Tsaneva-Atanasova, Understanding Calcium Dynamics: Experiments and Theory, Chapter Modeling Calcium Waves (Springer-Verlag, Berlin, 2003), pp. 179-199.
42. N. L. Allbritton, T. Meyer, and L. Stryer, Science 258, 1812 (1992). 10.1126/science.1465619
43. L. Levenberg, Q. Appl. Math. 2, 164 (1944).
44. D. Marquardt, SIAM J. Appl. Math. 11, 431 (1963). 10.1137/0111030
45. K. Nagel and H. J. Herrmann, Physica A 199, 254 (1993). 10.1016/0378-4371(93)90006-P
46. M. de Sousa Vieira, Phys. Rev. E 61, R6056 (2000). 10.1103/PhysRevE.61. R6056
47. Y. Timofeeva, Physica D 239, 494 (2010). 10.1016/j.physd.2010.01.004