Toward a quantification of self-similarity in plants
Self-similarity of plants has attracted the attention of biologists for at least 50 years, yet its formal treatment is rare, and no measure for quantifying the degree of self-similarity currently exists. We propose a formal definition and measures of self-similarity, tailored to branching plant structures. To evaluate self-similarity, we make use of an algorithm for computing topological distances between branching systems, developed in computer science. The formalism is illustrated using theoretical branching systems, and applied to analyze self-similarity in two sample plant structures: inflorescences of Syringe vulgaris (lilac) and shoots of Oryza sativa (rice).
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| Main Authors: | , , |
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| Format: | article biblioteca |
| Language: | eng |
| Subjects: | F50 - Anatomie et morphologie des plantes, U10 - Informatique, mathématiques et statistiques, F62 - Physiologie végétale - Croissance et développement, anatomie végétale, modèle mathématique, ramification, application des ordinateurs, Syringa, Oryza sativa, http://aims.fao.org/aos/agrovoc/c_5954, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_1057, http://aims.fao.org/aos/agrovoc/c_24009, http://aims.fao.org/aos/agrovoc/c_7577, http://aims.fao.org/aos/agrovoc/c_5438, |
| Online Access: | http://agritrop.cirad.fr/526963/ http://agritrop.cirad.fr/526963/1/document_526963.pdf |
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| Summary: | Self-similarity of plants has attracted the attention of biologists for at least 50 years, yet its formal treatment is rare, and no measure for quantifying the degree of self-similarity currently exists. We propose a formal definition and measures of self-similarity, tailored to branching plant structures. To evaluate self-similarity, we make use of an algorithm for computing topological distances between branching systems, developed in computer science. The formalism is illustrated using theoretical branching systems, and applied to analyze self-similarity in two sample plant structures: inflorescences of Syringe vulgaris (lilac) and shoots of Oryza sativa (rice). |
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