Two-stage Turing model for generating pigment patterns on the leopard and the jaguar

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

Volumn 74, Issue 1, 2006, Pages

  Liu, R T ^a   Liaw, S S ^a   Maini, P K ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; DIFFUSION; GENETIC ENGINEERING; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PIGMENTS; REACTION KINETICS;

PHYLOGENETIC ANALYSIS; PRIMITIVE PATTERN; REACTION-DIFFUSION MODELS; TUNING PARAMETERS;

PATTERN RECOGNITION;

EID: 33746216703     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.011914     Document Type: Article

References (32)

1. Rudyard Kipling, Just So Stories, illustrated by B. Moser (William Morrow and Company New York, 1996).
2. Alan Turing, Philos. Trans. R. Soc. London, Ser. B PTRBAE 0962-8436 237, 37 (1952).
3. A. Gierer and H. Meinhardt, Kybernetik KYBEAP 0023-5946 10.1007/BF00289234 12, 30 (1972).
4. J. B. L. Bard, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(81) 90109-0 93, 363 (1981).
5. J. D. Murray, Philos. Trans. R. Soc. London, Ser. B PTRBAE 0962-8436 295, 473 (1981);
6. J. D. Murray, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(81) 90334-9 88, 161 (1981).
7. S. Kondo and R. Asai, Nature (London) NATUAS 0028-0836 10.1038/376765a0 376, 765 (1995).
8. T. Hofer and P. K. Maini, Nature (London) NATUAS 0028-0836 10.1038/380678a0 380, 678 (1996).
9. C. Varea, J. L. Aragón, and R. A. Barrio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.1250 56, 1250 (1997).
10. S. S. Liaw, C. C. Yang, R. T. Liu, and J. T. Hong, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.041909 64, 041909 (2001).
11. E. Ben-Jacob, O. Shocher, A. Tenenbaum, I. Cohen, A. Czirok, and T. Vicsek, Nature (London) NATUAS 0028-0836 10.1038/368046a0 368, 46 (1994).
12. R. Tyson, S. R. Lubkin, and J. D. Murray, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.1999.0637 266, 299 (1999).
13. M. Matsushita, J. Wakita, H. Itoh, K. Watanabe, T. Arai, T. Matsuyama, H. Sakaguchi, and M. Mimura, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99) 00328-3 274, 190 (1999).
14. H. Meinhardt, Models of Biological Patterns Formation (Academic Press, New York, 1982).
15. S. S. Liaw, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.4589 57, 4589 (1998).
16. J. D. Murray, Mathematical Biology: II: Spatial Models and Biomedical Applications (Springer-Verlag, Berlin, 2003).
17. Y. Chen and A. F. Schler, Nature (London) NATUAS 0028-0836 10.1038/35079121 411, 607 (2001).
18. Q. Ouyang and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/352610a0 352, 610 (1991).
19. P. De Kepper, J. Boissonade, and I. R. Epstein, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100380a004 94, 6525 (1990).
20. G. Turk, Comput. Graphics COGRD2 0097-8493 25, 289 (1991).
21. A. J. Koch and H. Meinhardt, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.1481 66, 1481 (1994).
22. M. Walter, A. Fournier, and M. Reimers, Clonal Mosaic Model for the Synthesis of Mammalian Coat Patterns, in Proceedings of the 28th Annual Conference on Computer Graphics, 1998 (ACM Press, New York, 2001), pp. 82-91.
23. K. J. Painter, P. K. Maini, and H. G. Othmer, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s002850000035 41, 285 (2000).
24. Courtesy of the Feline Conservation Center of Exotic Feline Breeding Compound (EFBC/FCC), http://www.cathouse-fcc.org/index.html
25. Lars Werdelin and Lennart Olsson, Biol. J. Linn. Soc. BJLSBG 0024-4066 62, 383 (1997).
26. R. A. Barrio, C. Varea, J. L. Aragón, and P. K. Maini, Bull. Math. Biol. BMTBAP 0092-8240 10.1006/bulm.1998.0093 61, 483 (1999).
27. B. Ermentrout, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 434, 413 (1991).
28. B. N. Nagorcka and J. R. Mooney, IMA J. Math. Appl. Med. Biol. ZZZZZZ 0265-0746 9, 249 (1992).
29. J. L. Aragón, M. Torres, D. Gil, R. A. Barrio, and P. K. Maini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.051913 65, 051913 (2002).
30. Rihito Asai, Emiko Taguchi, Yukari Kume, Mayumi, and Shigeru Kondo, Mech. Dev. MEDVE6 0925-4773 89, 87 (1999).
31. R. Dillon, P. K. Maini, and H. G. Othmer, J. Math. Biol. JMBLAJ 0303-6812 10.1007/BF00160165 32, 345 (1994).
32. E. J. Crampin, E. A. Gaffney, and P. K. Maini, Bull. Math. Biol. BMTBAP 0092-8240 10.1006/bulm.1999.0131 61, 1093 (1999).