Complex pattern formation by a self-destabilization of established patterns: Chemotactic orientation and phyllotaxis as examples

Comptes Rendus - Biologies

Volumn 326, Issue 2, 2003, Pages 223-237

  Meinhardt, Hans ^a  

^a MAX PLANCK INSTITUTE FOR DEVELOPMENTAL BIOLOGY   (Germany)

Author keywords

Chemotactic orientation; Complex patterns; Phyllotaxis

Indexed keywords

CHEMOATTRACTANT;

CHEMOTAXIS; MORPHOLOGY; ORIENTATION;

CATALYSIS; CELL POLARITY; CELL SHAPE; CHEMOTAXIS; COMPETITIVE INHIBITION; COMPUTER SIMULATION; CONTROLLED STUDY; DICTYOSTELIUM DISCOIDEUM; MATHEMATICAL COMPUTING; MERISTEM; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; NONHUMAN; PLANT BIOTECHNOLOGY; PLANT LEAF; REVIEW;

EID: 0038071794     PISSN: 16310691     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0691(03)00018-0     Document Type: Article

References (48)

1. S.H. Zigmond, Ability of polymorphonuclear leukocytes to orient in gradients of chemotactic factors, J. Cell Biol. 75 (1977) 606-617.
2. H. Baier, F. Bonhoeffer, Axon guidance by gradients of a target-derived component, Science 255 (1992) 472-475.
3. H. Meinhardt, M. Klingler, A model for pattern formation on the shells of molluscs, J. Theor. Biol. 126 (1987) 63-69.
4. H. Meinhardt, The Algorithmic Beauty of Sea Shells, 2nd edition, Springer, Heidelberg, New York, 1998.
5. A. Turing, The chemical basis of morphogenesis, Phil. Trans. B. 237 (1952) 37-72.
6. A. Gierer, H. Meinhardt, A theory of biological pattern formation, Kybernetik 12 (1972) 30-39 (available at http://www.eb.tuebingen.mpg.de/abt.4/meinhardt/theory.html).
7. H. Meinhardt, Organizer and axes formation as a self-organizing process, Int. J. Dev. Biol. 45 (2001) 177-188.
8. H. Meinhardt, A.J. Koch, G. Bernasconi, Models of pattern formation applied to plant development, in: D. Barabe, R.V. Jean (Eds.), Symmetry in Plants, World Scientific Publishing, Singapore, 1998, pp. 723-758.
9. L. Wolpert, Positional information and the spatial pattern of cellular differentiation, J. Theor. Biol. 25 (1969) 1-47.
10. H. Meinhardt, Models for organizer and notochord formation, C. R. Acad. Sci. Paris, Ser. III 323 (2000) 23-30.
11. I. Prigogine, R. Lefever, Symmetry-breaking instabilities in dissipative systems. II, J. Chem. Phys. 48 (1968) 1695-1700.
12. A.T. Winfree, The Geometry of Biological Time, Springer Verlag, New York, Heidelberg, Berlin, 1980.
13. L. Segel, Modelling Dynamic Phenomena in Molecular and Cellular Biology, Cambridge University Press, Cambridge, UK, 1984.
14. L. Glass, M.C. Mackey, From Clocks to Chaos, Princeton University Press, 1988.
15. J.D. Murray, Mathematical Biology, Springer, Heidelberg, New York, 1989.
16. A. Goldbeter, Biochemical Oscillations and the Cellular Rhythm: The Molecular Bases of Periodic and Chaotic Behaviour, Cambridge University Press, 1996.
17. R. Lefever, Dissipative structures in chemical systems, J. Chem. Phys. 49 (1968) 4977-4978.
18. R. Lefever, G. Nicolis, P. Borckmans, The Brusselator: it does oscillate all the same, J. Chem. Soc., Faraday Trans. 84 (1988) 1013-1023.
19. A.M. Zhabotinsky, A history of chemical oscillations and waves, Chaos 1 (1991) 379-386.
20. J.J. Tyson, Oscillations, bistability and echo waves in models of the Belusov-Zhabotinski reaction, Ann. NY Acad. Sci. 316 (1979) 279-295.
21. P.N. Devreotes, S.H. Zigmond, Chemotaxis in eukaryotic cells: a focus on leukocytes and Dictyostelium, Annu. Rev. Cell Biol. 4 (1988) 648-649.
22. T. Bretschneider, F. Siegert, C.J. Weijer, 3-dimensional scroll waves of camp could direct cell movement and gene expression in Dictyostelium slugs, PNAS 92 (1995) 4387-4391.
23. R.F. Lyndon, Plant Development - The Cellular Basis, Unwin Hyman, Boston, 1990.
24. G. Jürgens, Apical-basal pattern formation in Arabidopsis embryogenesis, EMBO J. 20 (2001) 3609-3616.
25. H. Meinhardt, Models of Biological Pattern Formation, Academic Press, London, 1982 (available at http://www.eb.tuebingen.mpg.de/abt.4/meinhardt/theory.html).
26. J.C. Schoute, Beiträge zur Blattstellung, Rec. Trav. Bot. Neerl. 10 (1913) 153-325.
27. H. Meinhardt, A. Gierer, Pattern formation by local self-activation and lateral inhibition, BioEssays 22 (2000) 753-760.
28. P.L.H. Rinne, C. van der Schoot, Symplasmic fields in the tunica of the shoot apical meristem coordinate morphogenetic events, Development 125 (1998) 1477-1485.
29. C. van der Schoot, P. Rinne, Networks for shoot design, Trends Plant Sci. 4 (1999) 31-37.
30. D. Reinhardt, T. Mandel, C. Kuhlemeier, Auxin regulates the initiation and radial position of plant lateral organs, Plant Cell 12 (2000) 507-518.
31. T. Vernoux, J. Kronenberger, O. Grandjean, P. Laufs, J. Traas, PIN-FORMED I regulates cell fate at the periphery of the shoot apical meristem, Development 127 (2000) 5157-5165.
32. C. Kuhlemeier, D. Reinhardt, Auxin and phyllotaxis, Trends Plant Sci. 6 (2000) 187-189.
33. S. Shindo, M. Ito, K. Ueda, M. Kato, M. Hasebe, Characterization of MADS genes in the gymnosperm Gnetum parvifoliium and its implication of the evolution of organs in seed plants, Evol. Dev. 1 (1999) 180 190.
34. U. Brand, M. Hobe, R. Simon, Functional domains in plant shoot meristems, BioEssays 23 (2001) 134-141.
35. K.F.X. Mayer, H. Schoof, A. Haecker, M. Lenhard, G. Jurgens, T. Laux, Role of wuschel in regulating stem cell fate in the arabidopsis shoot meristem, Cell 95 (1998) 805-815.
36. H. Schoof, A Lenhard, A. Haecker, K.F.X. Mayer, G. Jurgens, T. Laux, The stem cell population of arabidopsis shoot meristems is maintained by a regulatory loop between the clavata and wuschel genes, Cell 100 (2000) 635-644.
37. H. Meinhardt, A model for pattern-formation of hypostome, tentacles, and foot in hydra: how to form structures close to each other, how to form them at a distance, Dev. Biol. 157 (1993) 321-333.
38. H.J. Song, M.M. Poo, The cell biology of neuronal navigation, Nat. Cell Biol. 3 (2001) E81-E88.
39. C.Y. Chung, S. Funamoto, R.A. Firtel, Signaling pathways controlling cell polarity and chemotaxis, Trends Biochem. Sci. 26 (2001) 557-566.
40. O.D. Weiner, G. Servant, M.D. Welch, T.J. Mitchison, J.W. Sedat, H.R. Bourne, Spatial control of actin polymerization during neutrophil chemotaxis, Nat. Cell Biol. 1 (1999) 75-81:
41. H. Meinhardt, Orientation of chemotactic cells and growth cones: models and mechanisms, J. Cell Sci. 112 (1999) 2867-2874.
42. P. Rickert, O.D. Weiner, F. Wang, H.R. Bourne, G. Servant, Leukocytes navigate by compass: roles of PI3K gamma and its lipid products, Trends Cell Biol. 10 (2000) 466-473.
43. J.Q. Zheng, M.M. Poo, J.A. Connor, Calcium and chemotrophic turning of nerve growth cones, Persp. Dev. Neurobiol. 4 (1996) 205-213.
44. G.L. Ming, H.J. Song, B. Berninger, C.E. Holt, M. Tessier-Lavigne, M.M. Poo, cAMP-dependent growth cone guidance by netrin-1, Neuron 19 (1997) 1225-1235.
45. T. Killich, P.J. Plath, E.C. Hass, W. Xiang, H. Bultmann, L. Rensing, M.G. Vicker, Cell-movement and shape are non-random and determined by intracellular, oscillatory rotating waves in Dictyostelium amoebas, Biosystems 33 (1994) 75-87.
46. T. Killich, P.J. Plath, W. Xiang, H. Bultmann, L. Rensing, M.G. Vicker, The lokomotion shape and pseudopodial dynamics of unstimulated Dictyostelium cells are not random, J. Cell Sci. 106 (1993) 1005-1013.
47. C.A. Hale, H. Meinhardt, P.A.J. de Boer, Dynamic localization cycle of the cell division regulator MinE in Escherichia coli, EMBO J. 20 (2001) 1563-1572.
48. H. Meinhardt, P.A.J. de Boer, Pattern formation in E. coli: a model for the pole-to-pole oscillations of Min proteins and the localization of the division site, PNAS 98 (2001) 14202-14207.