Symmetry in plants / editors, Roger V. Jean, Denis Barabe.

Format:

Book

Contributor:

Barabé, Denis, 1951-

Jean, Roger V.

Series:

Series in mathematical biology and medicine ; vol. 4.

Series in mathematical biology and medicine ; vol. 4

Language:

English

Subjects (All):

Phyllotaxis--Mathematical models.

Phyllotaxis.

Plant morphogenesis--Mathematical models.

Plant morphogenesis.

Symmetry (Biology)--Mathematical models.

Symmetry (Biology).

Physical Description:

1 online resource (888 p.)

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c1998.

Language Note:

English

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-lik

Contents:

Foreword: Multidisciplinarity: A Key to Phyllotaxis; Prologue by a Mathematician: The Role of Mathematics in Phyllotaxis; Prologue by a Botanist: Phyllotactic Symmetry in Plant Growth; Prologue by a Molecular Geneticist: The Role of Homoetic Genes and of Molecular Mimicry in the Determination of Plant and Animal Symmetries; Prologue by a Crystallographer: Phyllotaxis; Contents; List of Contributors; Part I. Basic Information Gathering and Pattern Recognition in Phyllotaxis Data-Experimentation-Description; Chapter 1. Investigation of Phyllotaxis of Rhododendron

Chapter 2. Systems of Phyllotaxis in the Genus Eucalyptus in Relation to Shoot ArchitectureChapter 3. Pendulum Symmetry; Chapter 4. Phyllotaxis in the Vitaceae; Chapter 5. Phyllotaxis in Flowers and in Flower Reversion; Chapter 6. Decussate to Spiral Transitions in Phyllotaxis; Chapter 7. The Physiological Basis of Pattern Generation in the Sunflower; Chapter 8. Plastochrone Ratio and Leaf Arc as Parameters of a Quantitative Phyllotaxis Analysis in Vascular Plants; Chapter 9. Changes in Phyllotactic Pattern Structure in Pinus L. due to Changes in Altitude

Chapter 10. Biastrepsis and Allomery of Stems of Dipsacus Sylvestris MillPart II. Pattern Generation in Phyllotaxis; Chapter 11. Generating Phyllotaxis Patterns on a Cylindrical Point Lattice; Chapter 12. Modelling Meristic Characters of Asteracean Flowerheads; Chapter 13. The Shape of Dirichlet Regions in a Coxeter Lattice as a Function of Divergence and Rise; Chapter 14. The Selection of Phyllotactic Patterns; Chapter 15. How Plants Produce Pattern. A Review and a Proposal that Undulating Field is the Mechanism; Chapter 16. The Crocograph and its Practical Utility in Phyllotaxis

Chapter 17. Phyllotaxis as a Dynamical System: A Study in NumberChapter 18. Phyllotaxis as a Geometrical and Dynamical System; Chapter 19. Creating Phyllotaxis from Seed to Flower; Chapter 20. The Role and Importance of Vertical Spacing at the Plant Apex in Determining Phyllotactic Pattern; Part III. Origins of Phyllotaxis Homology-Comparative Morphology-Exotic Phyllotaxis; Chapter 21. The Phyllotactic Patterns as Resulting from Self-Organization in an Iterative Process; Chapter 22. Universal Results from a Simple Model of Phyllotaxis; Chapter 23. Elementary Rules of Growth in Phyllotaxis

Chapter 24. Universality in Phyllotaxis: A Mechanical TheoryChapter 25. The Atomic Origin of Structural Periodicity; Chapter 26. Uniform Spacing Models for the Morphogenesis of High Symmetry Biological Structures: Icosahedral Capsids Coaxial Helices and Helical Phyllotaxis; Chapter 27. Models of Pattern Formation Applied to Plant Development; Chapter 28. Light Harvesting ""Fitness Landscapes"" for Vertical Shoots with Different Phyllotactic Patterns; Chapter 29. On the Origin of Symmetry Branching and Phyllotaxis in Land Plants

Chapter 30. Quasicrystalline Pattern Formation in Fluid Substrates and Phyllotaxis

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

9789814261074

9814261076