Abstract
We consider mechanisms that may determine certain simple leaf shapes. Compared with other aspects of plant morphogenesis, such as phyllotaxis or spiral leaf arrangement, rather little is known about leaf-shape-determining mechanisms. We develop mathematical models for the gross pattern of leaf shape based on reaction diffusion systems. These models are consistent with what is known about factors that might determine leaf shape. They show that diverse leaf shapes may be obtained from a single reaction diffusion system. This has implications in terms of both convergent and divergent evolution. The models make predictions that can be tested experimentally. We predict the form of pre-patterns of growth promoters in leaf primordia of different sizes when the morphogens either diffuse into the primordia or are produced locally. We also predict the effects on leaf shape of removing parts of primordia at different times. The models can also predict the effects on leaf shape of the topical application of activators and inhibitors to leaf primordia.
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Selected References
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- Jean R. V. Phyllotaxis: the status of the field. Math Biosci. 1995 Jun;127(2):181–206. doi: 10.1016/0025-5564(95)00037-e. [DOI] [PubMed] [Google Scholar]
- McLean B. G., Hempel F. D., Zambryski P. C. Plant intercellular communication via plasmodesmata. Plant Cell. 1997 Jul;9(7):1043–1054. doi: 10.1105/tpc.9.7.1043. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Meinhardt H. Models for the ontogenetic development of higher organisms. Rev Physiol Biochem Pharmacol. 1978;80:47–104. doi: 10.1007/3540084665_2. [DOI] [PubMed] [Google Scholar]
- Paine P. L., Moore L. C., Horowitz S. B. Nuclear envelope permeability. Nature. 1975 Mar 13;254(5496):109–114. doi: 10.1038/254109a0. [DOI] [PubMed] [Google Scholar]
- Schnakenberg J. Simple chemical reaction systems with limit cycle behaviour. J Theor Biol. 1979 Dec 7;81(3):389–400. doi: 10.1016/0022-5193(79)90042-0. [DOI] [PubMed] [Google Scholar]
- Wolpert L. Positional information and the spatial pattern of cellular differentiation. J Theor Biol. 1969 Oct;25(1):1–47. doi: 10.1016/s0022-5193(69)80016-0. [DOI] [PubMed] [Google Scholar]
- Yang Y. W., Lai K. N., Tai P. Y., Li W. H. Rates of nucleotide substitution in angiosperm mitochondrial DNA sequences and dates of divergence between Brassica and other angiosperm lineages. J Mol Evol. 1999 May;48(5):597–604. doi: 10.1007/pl00006502. [DOI] [PubMed] [Google Scholar]
- Zambryski P. Plasmodesmata: plant channels for molecules on the move. Science. 1995 Dec 22;270(5244):1943–1944. doi: 10.1126/science.270.5244.1943. [DOI] [PubMed] [Google Scholar]