| Description |
1 online resource (li, 835 pages) : illustrations |
| Series |
Series in mathematical biology and medicine ; vol. 4 |
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Series in mathematical biology and medicine ; vol. 4.
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| Contents |
Prologue by a mathematician: the role of mathematics in phyllotaxis / I. Adler -- Prologue by a botanist: phyllotactic symmetry in plant growth / R.O. Erickson -- Prologue by a molecular geneticist: the role of homoetic genes and of molecular mimicry in the determination of plant and animal symmetries / A. Lima-de-Faria -- Prologue by a crystallographer: phyllotaxis / A.L. Mackay -- pt. I. Basic information gathering and pattern recognition in phyllotaxis. Data-experimentation-description. 1. Investigation of phyllotaxis of rhododendron / L.A. Bursill and J.L. Rouse -- 2. Systems of phyllotaxis in the genus eucalyptus in relation to shoot architecture / D.J. Carr -- 3. Pendulum symmetry / W.A. Charlton -- 4. Phyllotaxis in the vitaceae / J.M. Gerrath, C.R. Lacroix and U. Posluszny -- 5. Phyllotaxis in flowers and in flower reversion / R.F. Lyndon -- 6. Decussate to spiral transitions in phyllotaxis / R.D. Meicenheimer -- 7. The physiological basis of pattern generation in the sunflower / J.H. Palmer -- 8. Plastochrone ratio and leaf arc as parameters of a quantitative phyllotaxis analysis in vascular plants / R. Rutishauser -- 9. Changes in phyllotactic pattern structure in pinus L. due to changes in altitude / I.I. Vakarelov -- 10. Biastrepsis and allomery of stems of dipsacus sylvestris mill / J. Vieth -- pt. II. Pattern generation in phyllotaxis. Modelling. 11. Generating phyllotaxis patterns on a cylindrical point lattice / I. Adler -- 12. Modelling meristic characters of asteracean flowerheads / J. Battjes and P. Prusinkiewicz -- 13. The shape of dirichlet regions in a coxeter lattice as a function of divergence and rise / R. Dixon -- 14. The selection of phyllotactic patterns / S. Douady -- 15. How plants produce pattern. A review and a proposal that undulating field is the mechanism / P.B. Green, C.R. Steele and S.C. Rennich -- 16. The crocograph and its practical utility in phyllotaxis / N. Halle -- 17. Phyllotaxis as a dynamical system: a study in number / J. Kappraff, D. Blackmore and G. Adamson -- 18. Phyllotaxis as a geometrical and dynamical system / A.-J. Koch, G. Bernasconi and F. Rothen -- 19. Creating phyllotaxis from seed to flower / F.M.J. van der Linden -- 20. The role and importance of vertical spacing at the plant apex in determining phyllotactic pattern / W.W. Schwabe -- pt. III. Origins of phyllotaxis. Homology-comparative morphology-exotic phyllotaxis. 21. The phyllotactic patterns as resulting from self-organization in an iterative process / S. Douady and Y. Couder |
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22. Universal results from a simple model of phyllotaxis / J. Guerreiro and F. Rothen -- 23. Elementary rules of growth in phyllotaxis / R.V. Jean -- 24. Universality in phyllotaxis: a mechanical theory / H.W. Lee and L.S. Levitov -- 25. The atomic origin of structural periodicity / A. Lima-de-Faria -- 26. Uniform spacing models for the morphogenesis of high symmetry biological structures: icosahedral capsids, coaxial helices, and helical phyllotaxis / C.J. Marzec -- 27. Models of pattern formation applied to plant development / H. Meinhardt, A.-J. Koch and G. Bernasconi -- 28. Light harvesting "fitness landscapes" for vertical shoots with different phyllotactic patterns / K.J. Niklas -- 29. On the origin of symmetry, branching and phyllotaxis in land plants / R. Sattler -- 30. Quasicrystalline pattern formation in fluid substrates and phyllotaxis / A.M. Selvam |
| Summary |
The book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters. The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood. Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis. The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis. This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Print version record |
| Subject |
Phyllotaxis -- Mathematical models
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Plant morphogenesis -- Mathematical models
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Symmetry (Biology) -- Mathematical models
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Plant physiology.
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Botany.
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Mathematical models.
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Plant Physiological Phenomena
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Botany
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Models, Theoretical
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botany.
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mathematical models.
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SCIENCE -- Life Sciences -- Anatomy & Physiology.
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Plant physiology
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Mathematical models
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Botany
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Phyllotaxis -- Mathematical models
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Plant morphogenesis -- Mathematical models
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Pflanzen
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Symmetrie
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Pflanzenanatomie
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Symétrie (biologie) -- Modèles mathématiques.
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Phyllotaxie -- Modèles mathématiques.
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Plantes -- Morphogenèse -- Modèles mathématiques.
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| Form |
Electronic book
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| Author |
Jean, Roger V
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Barabé, Denis, 1951-
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| ISBN |
9789814261074 |
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9814261076 |
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