Dynamic regulation of growing domains for elongating and branching morphogenesis in plants

BioSystems

Volumn 109, Issue 3, 2012, Pages 488-497

  Harrison, Lionel G ^a   Adams, Richard J ^a   Holloway, David M ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b BRITISH COLUMBIA INSTITUTE OF TECHNOLOGY   (Canada)

Author keywords

Branching; Growth; Plant morphogenesis; Reaction diffusion; Tip growth; Turing pattern formation

Indexed keywords

DIFFUSION; GROWTH; MORPHOGENESIS; MORPHOLOGY; PLANT ARCHITECTURE; ROOT; SHOOT;

ARTICLE; BRANCHING MORPHOGENESIS; FEEDBACK SYSTEM; GROWTH REGULATION; NONHUMAN; PROCESS DESIGN; STEM ELONGATION;

EID: 84865303688     PISSN: 03032647     EISSN: 18728324     Source Type: Journal    
DOI: 10.1016/j.biosystems.2012.03.004     Document Type: Article

References (52)

1. Benková E., Michniewicz M., Sauer M., Teichmann T., Seifertová D., Jürgens G., Friml J. Local, efflux-dependent auxin gradients as a common module for plant organ formation. Cell 2003, 115:591-602.
2. Besnard F., Vernoux T., Hamant O. Organogenesis from stem cells in planta: multiple feedback loops integrating molecular and mechanical signals. Cell. Mol. Life Sci. 2011, 68:2885-2906.
3. Bonner J. Studies on the growth hormone of plants. V. The relation of cell elongation to cell wall formation. Proc. Natl. Acad. Sci. U.S.A. 1934, 20:393-397.
4. Braybrook S.A., Kuhlemeier C. How a plant builds leaves. Plant Cell 2010, 22:1006-1018.
5. Cosgrove D.J. Plant cell enlargement and the action of expansins. Bioessays 1996, 18:533-540.
6. de Reuille P.B., Bohn-Courseau I., Ljung K., Morin H., Carraro N., Godin C., Traas J. Computer simulations reveal properties of the cell-cell signalling network at the shoot apex in Arabidopsis. Proc. Natl. Acad. Sci. U.S.A. 2006, 103:1627-1632.
7. Digiuni S., Schellmann S., Geier F., Greese B., Pesch M., Wester K., Dartan B., Mach V., Srinivas B.P., Timmer J., Fleck C., Hülskamp M. A competitive complex formation mechanism underlies trichome patterning in Arabidopsis leaves. Mol. Syst. Biol. 2008, 4. Art. 217.
8. Dumais J., Shaw S.L., Steele C.R., Long S.R., Ray P.M. An anisotropic-viscoplastic model of plant morphogenesis by tip growth. Int. J. Dev. Biol. 2006, 50:209-222.
9. Fleming A.J., McQueen-Mason S., Mandel T., Kuhlemeier C. Induction of leaf primordia by the cell wall protein expansin. Science 1997, 276:1415-1418.
10. Fujita H., Toyokura K., Okada K., Kawaguchi M. Reaction-diffusion mechanism in shoot apical meristem of plants. PLoS One 2011, 6:e18243.
11. Garzón-Alvarado D.A., Martinez A.M.R., Segrera D.L.L. Appearance and formation of seed and pericarp may be explained by a reaction-diffusion mechanism? A mathematical modeling. Math. Comp. Model. 2012, 55:853-860.
12. Gierer A., Meinhardt H. A theory of biological pattern formation. Kybernetik 1972, 12:30-39.
13. Green P.B., King A. A mechanism for the origin of specifically oriented textures in development with special reference to Nitella wall texture. Aust. J. Biol. Sci. 1966, 19:421-437.
14. Green P.B., Steele C.S., Rennich S.C. How plants produce pattern. A review and proposal that undulating field behavior is the mechanism. Symmetry in Plants 1998, 359-392. World Scientific, Singapore. R.V. Jean, D.D. Barabé (Eds.).
15. Grieneisen V.A., Xu J., Maree A.F.M., Hogeweg P., Scheres B. Auxin transport is sufficient to generate a maximum and gradient guiding root growth. Nature 2007, 449:1008-1013.
16. Harrison L.G., Snell J., Verdi R., Vogt D.E., Zeiss G.D., Green B.R. Hair morphogenesis in Acetabularia mediterranea: temperature-dependent spacing and models of morphogen waves. Protoplasma 1981, 106:211-221.
17. Harrison L.G., Hillier N.A. Quantitative control of Acetabularia morphogenesis by extracellular calcium: a test of kinetic theory. J. Theor. Biol. 1985, 114:177-192.
18. Harrison L.G., Graham K.T., Lakowski B.C. Calcium localization during Acetabularia whorl formation: evidence supporting a two-stage hierarchical mechanism. Development 1988, 104:255-262.
19. Harrison L.G., Kolář M. Coupling between reaction-diffusion prepattern and expressed morphogenesis, applied to desmids and dasyclads. J. Theor. Biol. 1988, 130:493-515.
20. Harrison L.G. Kinetic Theory of Living Pattern 1993, Cambridge University Press.
21. Harrison L.G., Donaldson G., Lau W., Lee M., Lin B.P., Lohachitranont S., Setyawati I., Yue J. CaEGTA uncompetitively inhibits calcium activation of whorl morphogenesis in Acetabularia. Protoplasma 1997, 196:190-196.
22. Harrison L.G., Wehner S., Holloway D.M. Complex morphogenesis of surfaces: theory and experiment on coupling of reaction-diffusion to growth. Faraday Disc. 2001, 120:277-294.
23. Harrison L.G. The Shaping of Life: The Generation of Biological Pattern 2011, Cambridge University Press.
24. Herschkowitz-Kaufman M. Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady-state solutions and comparison with numerical simulations. Bull. Math. Biol. 1975, 37:589-636.
25. Holloway D.M., Harrison L.G. Order and localization in reaction-diffusion pattern. Physica A 1995, 222:210-233.
26. Holloway D.M., Harrison L.G. Algal morphogenesis: modelling interspecific variation in Micrasterias with reaction-diffusion patterned catalysis of cell surface growth. Phil. Trans. R. Soc. Lond. B 1999, 354:417-433.
27. Holloway D.M., Harrison L.G. Pattern selection in plants: coupling chemical dynamics to surface growth in three dimensions. Ann. Bot. 2008, 101:361-374.
28. Holloway D.M. The role of chemical dynamics in plant morphogenesis. Biochem. Soc. Trans. 2010, 38:645-650.
29. Holloway, D.M., 2012. The chemical kinetics of shape determination in plants, in: Patel, V. (Ed.), Chemical Kinetics. InTech, Rijeka, pp. 203-226. Available at . http://www.intechopen.com/articles/show/title/the-chemical-kinetics-of-shape-determination-in-plants.
30. Iron D., Ward M.J., Wei J.C. The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Physica D 2001, 150:25-62.
31. Jiang T.-X., Jung H.-S., Widelitz R.B., Chuong C.-M. Self-organization of periodic patterns by dissociated feather mesenchymal cells and the regulation of size, number and spacing of primordial. Development 1999, 126:4997-5009.
32. Jönsson H., Heisler M., Reddy G.V., Agrawal V., Gor V., Shapiro B.E., Mjolsness E., Meyerowitz E.M. Modeling the organization of the WUSCHEL expression domain in the shoot apical meristem. Bioinformatics 2005, 21(Suppl.):i232-i240.
33. Jönsson H., Heisler M.G., Shapiro B.E., Mjolsness E., Meyerowitz E.M. An auxin-driven polarized transport model for phyllotaxis. Proc. Natl. Acad. Sci. U.S.A. 2006, 103:1633-1638.
34. Jönsson H., Krupinski P. Modeling plant growth and pattern formation. Curr. Opin. Plant Biol. 2010, 13:5-11.
35. Jung H.-S., Francis-West P.H., Widelitz R.B., Jiang T.-X., Ting-Berreth S., Tickle C., Wolpert L., Chuong C.-M. Local inhibitory action of BMPs and their relationships with activators in feather formation: implications for periodic patterning. Dev. Biol. 1998, 196:11-23.
36. Kiermayer O., Meindl U. Cellular morphogenesis: the desmid (chlorophyceae) system. Algae as Experimental Systems 1989, 149-167. Alan R. Liss, New York. A.W. Coleman, L.J. Goff, J.R. Stein-Taylor (Eds.).
37. Kondo S., Asai R. A reaction-diffusion wave on the skin of the marine angelfish Pomocanthus. Nature 1995, 376:765-768.
38. Kroeger J.H., Geitmann A., Grant M. Model for calcium dependent oscillatory growth in pollen tubes. J. Theor. Biol. 2008, 253:363-374.
39. Kuhlemeier C. Phyllotaxis. Trends Plant Sci. 2007, 12:143-150.
40. Lacalli T.C., Harrison L.G. The regulatory capacity of Turing's model for morphogenesis, with application to slime moulds. J. Theor. Biol. 1978, 70:273-295.
41. Lacalli T.C. Dissipative structures and morphogenetic pattern in unicellular algae. Phil. Trans. R. Soc. Lond. B 1981, 294:547-588.
42. Lacalli T.C. Modeling the Drosophila pair-rule pattern by reaction-diffusion: gap input and pattern control in a 4-morphogen system. J. Theor. Biol. 1990, 144:171-194.
43. Laskowski M., Grieneisen V.A., Hofhuis H., ten Hove C.A., Hogeweg P., Maree A.F.M., Scheres B. Root system architecture from coupling cell shape to auxin transport. PLoS Biol. 2008, 6:e307.
44. Meinhardt, H., 1982. Models of Biological Pattern Formation. Academic Press, London. Available at: . http://www.eb.tuebingen.mpg.de/departments/former-departments/h-meinhardt/82-book/Bur82.htm.
45. Meinhardt H. The Algorithmic Beauty of Sea Shells 2009, Springer, Heidelberg. 4th ed.
46. Prigogine I., Lefever R. Symmetry-breaking instabilities in dissipative systems. II. J. Chem. Phys. 1968, 48:1695-1700.
47. Sick S., Reinker S., Timmer J., Schlake T. WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism. Science 2006, 314:1447-1450.
48. Smith R.S., Guyomarc'h S., Mandel T., Reinhardt D., Kuhlemeier C., Prusinkiewicz P. A plausible model of phyllotaxis. Proc. Natl. Acad. Sci. U.S.A. 2006, 103:1301-1306.
49. Turing A. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. B 1952, 237:37-72.
50. van Mourik S., Kaufmann K., van Dijk A.D.J., Angenent G.C., Merks R.M.H., Molenaar J. Simulation of organ patterning on the floral meristem using a polar auxin transport model. PLoS One 2012, 7:e28762.
51. Zerzour R., Kroeger J., Geitmann A. Polar growth in pollen tubes is associated with spatially confined dynamic changes in cell mechanical properties. Dev. Biol. 2009, 334:437-446.
52. Zwieniecki M.A., Dumais J. Quantifying green life: grand challenges in plant biophysics and modeling. Front. Plant Sci. 2011, 2. Article 31.