Research Catalog

Details

Description

1. xiv, 386 pages : illustrations; 24 cm

Summary

1. Phyllotaxis, the study of the patterns exhibited by leaves and other organs of plants, raises some of the deepest questions of plant morphogenesis. What principles of biological organisation produce these dynamical geometric systems? The constant occurrence of the Fibonacci sequence in such systems is a phenomenon that has fascinated botanists and mathematicians for centuries. In this book, first published in 1994, the many facets of phyllotaxis are dealt with in an integrated manner for the first time. The author describes a unified concept of phyllotaxis based on experimental, anatomical, cellular, physiological and paleontological observations. The book provides a framework for formal analyses of botanical data and emphasises the relevance of the phyllotactic paradigm in the study of other structures, such as crystals and proteins. It is of interest to cystallographers and physicists as well as to botanists and mathematicians.

Subject

1. Phyllotaxis > Mathematical models
2. Plant morphogenesis > Mathematical models
3. 42.41 plant morphology
4. Fylogenese
5. Morfogenese
6. Planten
7. Phyllotaxie > Modèles mathématiques
8. Plantes > Morphogenèse > Modèles mathématiques

Contents

1. 1. The centric representation -- 2. The fundamental theorem and its applications -- 3. Hierarchical control in phyllotaxis -- 4. Allometry-type model in phyllotaxis -- 5. Practical pattern recognition -- 6. An interpretative model -- 7. Testing the interpretative model -- 8. The interpretative model and whorled patterns -- 9. Convergences among models -- 10. Exotic phyllotaxis -- 11. Morphogenetical parallelism and autoevolutionism -- 12. The challenge redefined -- App. 4. General properties of phyllotactic lattices -- App. 5. The Williams-Brittain model -- App. 6. Interpretation of Fujita's frequency diagrams in phyllotaxis -- App. 7. L-systems, Perron-Frobenius theory, and the growth of filamentous organisms -- App. 8. The Meinhardt-Gierer theory of pre-pattern formation -- App. 9. Hyperbolic transformations of the cylindrical lattice.

Owning institution

1. Princeton University Library

Bibliography (note)

1. Includes bibliographical references (p. 333-371) and indexes.