Effect of axial growth on turing pattern formation

Physical Review Letters

Volumn 96, Issue 4, 2006, Pages

  Míguez, David G ^a   Dolnik, Milos ^a   Muñuzuri, Alberto P ^b   Kramer, Lorenz ^c  

^a BRANDEIS UNIVERSITY   (United States)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^c UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION;

AXIAL GROWTH; GROWTH VELOCITY; TURING PATTERN FORMATION;

TURING MACHINES;

CHLORINE DERIVATIVE; CHLORINE DIOXIDE; GEL; IODINE; MALONIC ACID; MALONIC ACID DERIVATIVE; OXIDE;

CHEMICAL MODEL; CHEMISTRY; COMPUTER SIMULATION; GEL; LIGHT; THERMODYNAMICS;

CHLORINE COMPOUNDS; COMPUTER SIMULATION; GELS; IODINE; LIGHT; MALONATES; MODELS, CHEMICAL; OXIDES; THERMODYNAMICS;

EID: 33144487704     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.048304     Document Type: Article

References (38)

1. H. Meinhardt, Models of Biological Pattern Formation (Academic, New York, 1982).
2. A.J. Koch and H. Meinhardt, Rev. Mod. Phys. 66, 1481 (1994). RMPHAT 0034-6861 10.1103/RevModPhys.66.1481
3. S. Kondo and R. Asai, Nature (London) NATUAS 0028-0836 376, 765 (1995). 10.1038/376765a0
4. H. Meinhardt, The Algorithmic Beauty of Seashells (Springer-Verlag, Berlin, 1998).
5. M. Kærn, D.G. Míguez, A.P. Muñuzuri, and M. Menzinger, Biophys. Chem. 110, 231 (2004). BICIAZ 0301-4622 10.1016/j.bpc.2004.02.006
6. A.M. Turing, Phil. Trans. R. Soc. B PTRBAE 0962-8436 237, 37 (1952).
7. V. Castets, E. Dulos, J. Boissonade, and P. de Kepper, Phys. Rev. Lett. 64, 2953 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.64.2953
8. István Lengyel and Irving R. Epstein, in Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer Academic, Netherlands, 1995), p. 292.
9. A.S. Perelson, P.K. Maini, J.D. Murray, J.M. Hyman, and G.F. Oster, J. Math. Biol. 24, 525 (1986). JMBLAJ 0303-6812 10.1007/BF00275682
10. K.J. Painter, P.K. Maini, and H.M. Othmer, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 96, 5549 (1999). 10.1073/pnas.96.10.5549
11. M. Kærn, M. Menzinger, R. Satnoianu, and A. Hunding, Faraday Discuss. 120, 295 (2002). FDISE6 0301-7249 10.1039/b103244p
12. J.D. Murray, Sci. Am., 258 80 (1988). SCAMAC 0036-8733
13. J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1999).
14. B.N. Nagorcka and J.R. Mooney, J. Theor. Biol. 98, 575 (1982). JTBIAP 0022-5193 10.1016/0022-5193(82)90139-4
15. J.H.E. Cartwright, J. Theor. Biol. 217, 97 (2002). JTBIAP 0022-5193 10.1006/jtbi.2002.3012
16. D. Thompson, On Growth and Form (Cambridge University Press, Cambridge, England, 1917).
17. A.J. Chaplain, G.D. Singh, and J.C. McLachlan, On Growth And Form: Spatiotemporal Pattern Formation In Biology (John Wiley & Sons, Chichester, 1999).
18. I.K. Quigley and D.M. Parichy, Microsc. Res. Tech. 58, 442 (2002). MRTEEO 1059-910X 10.1002/jemt.10162
19. Q. Ouyang, Z. Noszticzius, and H.L. Swinney, J. Phys. Chem. 96, 6773 (1992). JPCHAX 0022-3654 10.1021/j100195a045
20. E. Dulos, P. Davies, B. Rudovics, and P.De Kepper, Physica D (Amsterdam) 98, 53 (1996). PDNPDT 0167-2789 10.1016/0167-2789(96)00072-3
21. Q. Ouyang and H.L. Swinney, Nature (London) NATUAS 0028-0836 352, 610 (1991). 10.1038/352610a0
22. O. Seehausen, P.J. Mayhew, and J.J.M. van Alphen, J. Evol. Biol. 12, 514 (1999). JEBIEQ 1420-9101 10.1046/j.1420-9101.1999.00055.x
23. J.L. Aragón, C. Varea, R.A. Barrio, and P.K. Maini, FORMA FOFUE6 13, 213 (1999).
24. K.J. Painter, IMA Volumen in Maths. & Apps (Springer-verlag, Berlin, 2000), Vol.A 121, p. 59.
25. C. Varea, J.L. Aragón, and R.A. Barrio, Phys. Rev. E 56, 1250 (1997). PLEEE8 1063-651X 10.1103/PhysRevE.56.1250
26. E.J. Crampin, E.A. Gaffney, and P.K. Maini, Bull. Math. Biol. 61, 1093 (1999). BMTBAP 0092-8240 10.1006/bulm.1999.0131
27. E.J. Crampin and P.K. Maini, Comments on Theoretical Biology CTBIEK 0894-8550 6, 229 (2001).
28. E.J. Crampin, W.W. Hackborn, and P.K. Maini, Bull. Math. Biol. 64, 747 (2002). BMTBAP 0092-8240 10.1006/bulm.2002.0295
29. R.G. Plaza, F. Sanchez-Garduño, P. Padilla, R.A. Barrio, and P.K. Maini, J. Dyn. Differ. Equ. JDDEEH 1040-7294 16, 1093 (2004). 10.1007/s10884-004-7834-8
30. P. Hantz and I. Biro, Phys. Rev. Lett. (to be published). PRLTAO 0031-9007
31. I. Lengyel, G. Rábai, and I.R. Epstein, J. Am. Chem. Soc. 112, 4606 (1990). JACSAT 0002-7863 10.1021/ja00167a103
32. I. Lengyel, G. Rábai, and I.R. Epstein, J. Am. Chem. Soc. 112, 9104 (1990). JACSAT 0002-7863 10.1021/ja00181a011
33. B. Rudovics, E. Barillot, P. Davies, E. Dulos, J. Boissonade, and P. de Kepper, J. Phys. Chem. A JPCAFH 1089-5639 103, 1790 (1999). 10.1021/jp983210v
34. A.P. Muñuzuri, M. Dolnik, A.M. Zhabotinsky, and I.R. Epstein, J. Am. Chem. Soc. 121, 8065 (1999). JACSAT 0002-7863 10.1021/ja9910457
35. A.B. Rovinsky and M. Menzinger, Phys. Rev. Lett. 69, 1193 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.1193
36. A.B. Rovinsky and M. Menzinger, in Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer Academic, Netherlands, 1995), p. 365.
37. I. Lengyel and I.R. Epstein, Science 251, 650 (1991). SCIEAS 0036-8075
38. I. Lengyel and I.R. Epstein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 89, 3977 (1992).