Phyllotaxis: a systemic study of plant pattern morphogenesis
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...
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Format: | Elektronisch E-Book |
Sprache: | English |
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Cambridge
Cambridge University Press
1994
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Zusammenfassung: | 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 |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xiv, 386 pages) |
ISBN: | 9780511666933 |
DOI: | 10.1017/CBO9780511666933 |
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Datensatz im Suchindex
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author | Jean, Roger V. |
author_facet | Jean, Roger V. |
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contents | 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 |
ctrlnum | (ZDB-20-CBO)CR9780511666933 (OCoLC)967688103 (DE-599)BVBBV043945496 |
dewey-full | 581.3/32 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 581 - Specific topics in natural history of plants |
dewey-raw | 581.3/32 |
dewey-search | 581.3/32 |
dewey-sort | 3581.3 232 |
dewey-tens | 580 - Plants |
discipline | Biologie |
doi_str_mv | 10.1017/CBO9780511666933 |
format | Electronic eBook |
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spelling | Jean, Roger V. Verfasser aut Phyllotaxis a systemic study of plant pattern morphogenesis Roger V. Jean Cambridge Cambridge University Press 1994 1 online resource (xiv, 386 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Mathematisches Modell Phyllotaxis / Mathematical models Plant morphogenesis / Mathematical models Morphogenese (DE-588)4132460-2 gnd rswk-swf Pflanzen (DE-588)4045539-7 gnd rswk-swf Pflanzenmorphologie (DE-588)4045572-5 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Pflanzen (DE-588)4045539-7 s Musterbildung (DE-588)4137934-2 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Morphogenese (DE-588)4132460-2 s 2\p DE-604 Pflanzenmorphologie (DE-588)4045572-5 s 3\p DE-604 Erscheint auch als Druckausgabe 978-0-521-10469-2 Erscheint auch als Druckausgabe 978-0-521-40482-2 https://doi.org/10.1017/CBO9780511666933 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Jean, Roger V. Phyllotaxis a systemic study of plant pattern morphogenesis 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 Mathematisches Modell Phyllotaxis / Mathematical models Plant morphogenesis / Mathematical models Morphogenese (DE-588)4132460-2 gnd Pflanzen (DE-588)4045539-7 gnd Pflanzenmorphologie (DE-588)4045572-5 gnd Musterbildung (DE-588)4137934-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
subject_GND | (DE-588)4132460-2 (DE-588)4045539-7 (DE-588)4045572-5 (DE-588)4137934-2 (DE-588)4114528-8 |
title | Phyllotaxis a systemic study of plant pattern morphogenesis |
title_auth | Phyllotaxis a systemic study of plant pattern morphogenesis |
title_exact_search | Phyllotaxis a systemic study of plant pattern morphogenesis |
title_full | Phyllotaxis a systemic study of plant pattern morphogenesis Roger V. Jean |
title_fullStr | Phyllotaxis a systemic study of plant pattern morphogenesis Roger V. Jean |
title_full_unstemmed | Phyllotaxis a systemic study of plant pattern morphogenesis Roger V. Jean |
title_short | Phyllotaxis |
title_sort | phyllotaxis a systemic study of plant pattern morphogenesis |
title_sub | a systemic study of plant pattern morphogenesis |
topic | Mathematisches Modell Phyllotaxis / Mathematical models Plant morphogenesis / Mathematical models Morphogenese (DE-588)4132460-2 gnd Pflanzen (DE-588)4045539-7 gnd Pflanzenmorphologie (DE-588)4045572-5 gnd Musterbildung (DE-588)4137934-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
topic_facet | Mathematisches Modell Phyllotaxis / Mathematical models Plant morphogenesis / Mathematical models Morphogenese Pflanzen Pflanzenmorphologie Musterbildung |
url | https://doi.org/10.1017/CBO9780511666933 |
work_keys_str_mv | AT jeanrogerv phyllotaxisasystemicstudyofplantpatternmorphogenesis |