Stippling the Skin: Generation of Anatomical Periodicity by Reaction-Diffusion Mechanisms

D. J. Headon; K. J. Painter

doi:10.1051/mmnp/20094402

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Stippling the Skin: Generation of Anatomical Periodicity by Reaction-Diffusion Mechanisms

D. J. Headon ¹ ; K. J. Painter ²

¹ The Roslin Institute and Royal (Dick) School of Veterinary Studies University of Edinburgh, Midlothian, EH25 9PS, UK
² Department of Mathematics and Maxwell Institute for Mathematical Sciences, School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK

Mathematical modelling of natural phenomena, Tome 4 (2009) no. 4, pp. 83-102.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

During vertebrate development cells acquire different fates depending largely on their location in the embryo. The definition of a cell's developmental fate relies on extensive intercellular communication that produces positional information and ultimately generates an appropriately proportioned anatomy. Here we place reaction-diffusion mechanisms in the context of general concepts regarding the generation of positional information during development and then focus on these mechanisms as parsimonious systems for positioning anatomical structures relative to one another. In particular, we discuss the evidence for reaction-diffusion systems operating in the developing skin to yield the periodic arrangements of hairs and feathers and discuss how best to bring together experimental molecular biology and numerical simulations to yield a more complete understanding of the mechanisms of development and natural variation.

DOI : 10.1051/mmnp/20094402

Affiliations des auteurs :

D. J. Headon ¹ ; K. J. Painter ²

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     title = {Stippling the {Skin:} {Generation} of {Anatomical} {Periodicity} by {Reaction-Diffusion} {Mechanisms}},
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D. J. Headon; K. J. Painter. Stippling the Skin: Generation of Anatomical Periodicity by Reaction-Diffusion Mechanisms. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 4, pp. 83-102. doi : 10.1051/mmnp/20094402. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20094402/

Bibliographie
Cité par

[1] J. G. Abreu, N. I. Ketpura, B. Reversade, E. M. De Robertis Nat. Cell Biol. 2002 599 604

[2] M. Akam Nature 1989 282 283

[3] T. Andl, S. T. Reddy, T. Gaddapara, S. E. Millar Dev. Cell 2002 643 653

[4] N. J. Armstrong, K. J. Painter, J. A. Sherratt J. Theor. Biol. 2006 98 113

[5] R. Atit, R. A. Conlon, L. Niswander Dev. Cell 2003 231 240

[6] R. E. Baker, S. Schnell, P. K. Maini Dev. Biol. 2006 116 126

[7] W. Balemans, W. Van Hul Dev. Biol. 2002 231 250

[8] J. Cooke, E. C. Zeeman J. Theor. Biol. 1976 455 476

[9] E. J. Crampin, E. A. Gaffney, P. K. Maini Bull. Math. Biol. 1999 1093 1120

[10] Y. Cui, R. Hackenmiller, L. Berg, F. Jean, T. Nakayama, G. Thomas, J. L. Christian Genes Dev. 2001 2797 2802

[11] C. F. Drew, C. M. Lin, T. X. Jiang, G. Blunt, C. Mou, C. M. Chuong, D. J. Headon Dev. Biol. 2007 232 245

[12] R. Dillon, P. K. Maini, H. G. Othmer Pattern formation in generalised Turing systems. I. Steady state patterns in systems with mixed boundary conditions. J. Math. Biol., 32 (1994), 345–393.

[13] S. Eaton Curr. Opin. Genet. Dev. 2006 17 22

[14] E. A. Gaffney, N. A. Monk Bull. Math. Biol. 2006 99 130

[15] A. Gierer, H. Meinhardt Kybernetik 1972 30 39

[16] S.F. Gilbert. Developmental biology. Sinauer Associates, Sunderland, 2006.

[17] K. Harding, T. Hoey, R. Warrior, M. Levine EMBO J. 1989 1205 1212

[18] M. P. Harris, S. Williamson, J. F. Fallon, H. Meinhardt, R. O. Prum Proc. Natl. Acad. Sci. U.S.A. 2005 11734 11739

[19] L. Houghton, C. Lindon, B. A. Morgan Development 2005 863 872

[20] T. X. Jiang, H. S. Jung, R. B. Widelitz, C. M. Chuong Development 1999 4997 5009

[21] T. X. Jiang, R. B. Widelitz, W. M. Shen, P. Will, D. Y. Wu, C. M. Lin, H. S. Jung, C. M. Chuong Int. J. Dev. Biol. 2004 117 135

[22] H. S. Jung, P. H. Francis-West, R. B. Widelitz, T. X. Jiang, S. Ting-Berreth, C. Tickle, L. Wolpert, C. M. Chuong Dev. Biol. 1998 11 23

[23] M. Kashiwagi, T. Kuroki, N. Huh Dev. Biol. 1997 22 32

[24] E. F. Keller, L. A. Segel J. Theor. Biol. 1970 399 415

[25] S. Kondo Genes Cells 2002 535 541

[26] J. Laurikkala, J. Pispa, H. S. Jung, P. Nieminen, M. Mikkola, X. Wang, U. Saarialho-Kere, J. Galceran, R. Grosschedl, I. Thesleff Development 2002 2541 2553

[27] M. Mandler, A. Neubüser Development 2004 3333 3343

[28] H. Meinhardt. Models for positional signalling with application to the dorsoventral patterning of insects and segregation into different cell types. Development, 107 Suppl (2004), 169–180.

[29] J. R. Mooney, B. N. Nagorcka J. Theor. Biol. 1985 299 317

[30] C. Mou, B. Jackson, P. Schneider, P. A. Overbeek, D. J. Headon Proc. Natl. Acad. Sci. U.S.A. 2006 9075 9080

[31] J. D. Murray C. R. Acad. Sci. III 2000 5 14

[32] J. D. Murray C. R. Biol. 2003 239 252

[33] B. N. Nagorcka, J. R. Mooney J. Theor. Biol. 1985 243 272

[34] K. Narhi, E. Jarvinen, W. Birchmeier, M. M. Taketo, M. L. Mikkola, I. Thesleff Development 2008 1019 1028

[35] S. Noramly, A. Freeman, B. A. Morgan Development 1999 3509 3521

[36] S. Noramly, B. A. Morgan Development 1998 3775 3787

[37] K. J. Painter, P. K. Maini, H. G. Othmer Proc. Natl. Acad. Sci. U.S.A. 1999 5549 5554

[38] K. Patel, H. Makarenkova, H. S. Jung Mech. Dev. 1999 51 62

[39] R. Paus, G. Cotsarelis N. Engl. J. Med. 1999 491 497

[40] I. Salazar-Ciudad, J. Jernvall, S. A. Newman Development 2003 2027 2037

[41] R. Schmidt-Ullrich, R. Paus Bioessays 2005 247 261

[42] P. Sengel. Morphogenesis of skin. CUP, Cambridge, 1976.

[43] S. Sick, S. Reinker, J. Timmer, T. Schlake Science 2006 1447 1450

[44] H. Song, Y. Wang, P. F. Goetinck Proc. Natl. Acad. Sci. U.S.A. 1996 10246 10249

[45] A. A. Teleman, M. Strigini, S. M. Cohen Cell 2001 559 562

[46] A.M. Turing Phil. Trans. Roy. Soc. Lond. B 1952 37 72

[47] G. Turk Comp. Graphics 1991 289 298

[48] J.P. Vincent, J. Briscoe Curr. Biol. 2001 R851 854

[49] R. B. Widelitz, T. X. Jiang, J. Lu, C. M. Chuong Dev. Biol. 2000 98 114

[50] L. Wolpert. Principles of development. OUP, Oxford, 2006.

[51] M. Yamaguchi, E. Yoshimoto, S. Kondo Proc. Natl. Acad. Sci. U.S.A. 2007 4790 4793

[52] K. Yoshida, H. Munakata Biochim. Biophys. Acta 2007 672 680

[53] M. Yu, Z. Yue, P. Wu, D. Y. Wu, J. A. Mayer, M. Medina, R. B. Widelitz, T. X. Jiang, C. M. Chuong Int. J. Dev. Biol. 2004 181 191

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