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Phyllotactic Patterns: A Multidisciplinary Approach

Phyllotactic Patterns: A Multidisciplinary Approach
Author: Denis Barabe
Publisher: World Scientific
Total Pages: 298
Release: 2020-04-22
Genre: Science
ISBN: 9811211027

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The book provides a current review of the field of phyllotaxis from a variety of perspectives, that is, morphological, developmental, biochemical, molecular genetics, biophysical, and evolutionary.This unique book covers phyllotactic processes from the level of genes involved in the establishment of patterns to modeling the emergence of those patterns in space and time. The models in question (deterministic or stochastic) touch on various fields, including geometry, biochemistry, and biophysics.Not only providing a recent review but also current critique and analysis of the discipline, the book will appeal to a variety of individuals involved in developmental modeling as well as pattern initiation and formation. The text is highly illustrated with excellent pictures representing recent developments in the field.A biological context or perspective to models and ideas is explored in the book. Terminology specific to the discipline is defined and updated as well.


Phyllotaxis and Symmetry in Angiosperms

Phyllotaxis and Symmetry in Angiosperms
Author: Jean-Paul Walch
Publisher: John Wiley & Sons
Total Pages: 260
Release: 2024-07-24
Genre: Science
ISBN: 1394306342

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Symmetry and the causes of shifts in different types of symmetries in flowers follow specific patterns that are ruled by developmental and genetic factors. Using a unified system of phyllotaxic equations, we have modeled the molecular mechanisms and pressure forces that act in inflorescence and floral meristems, giving flowers their organ arrangement. In this book, we state general physical principles, whereby the symmetry of the perianth is derived from the symmetry of certain TCP gene expression. Thus, we define the interplay between the expression of CYC2-like genes and the phyllotactic mechanisms. This new evo-devo approach is applied to major groups of angiosperms with predominantly actinomorphic flowers (in which rare zygomorphy is positional) and groups with mainly bilaterally symmetrical flowers (in which zygomorphy is constitutional). It has thus allowed us to revisit the contributions of the great floral morphologists of the 20th and early 21st centuries.


Double Helix of Phyllotaxis

Double Helix of Phyllotaxis
Author: Boris Rozin
Publisher: BrownWalker Press
Total Pages: 186
Release: 2020-08-01
Genre: Science
ISBN: 1627347488

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This book is devoted to anyone who is in search of beauty in mathematics, and mathematics in the beauty around us. Attempting to combine mathematical rigor and magnificence of the visual perception, the author is presenting the mathematical study of phyllotaxis, the most beautiful phenomenon of the living nature. The distinctive feature of this book is an animation feature that explains the work of mathematical models and the transformation of 3D space. The analysis of the phyllotactic pattern as a system of discrete objects together with the mathematical tools of generalized sequences made it possible to find a universal algorithm for calculating the divergence angle. In addition, it is serving as a new proof of the fundamental theorem of phyllotaxis and analytically confirming well-known formulas obtained intuitively earlier as well as casting some doubts on a few stereotypes existing in mathematical phyllotaxis. The presentation of phyllotaxis morphogenesis as a recursive process allowed the author to formulate the hydraulic model of phyllotaxis morphogenesis and propose a method for its experimental verification. With the help of artificial intelligence, the author offered methodology for the digital measurement of phyllotaxis allowing a transition to a qualitatively new level in the study of plant morphogenesis. Due to the successful combination of mathematical constructions and their visual presentation, the materials of this study are comprehensible to readers with high school advanced mathematical levels.


Solving the Riddle of Phyllotaxis

Solving the Riddle of Phyllotaxis
Author: Irving Adler
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 205
Release: 2012
Genre: Mathematics
ISBN: 9789814407625

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Foreword by Stephen L Adler (Institute for Advanced Study, USA) Illustrations by Peggy Adler The term Phyllotaxis refers to the patterns on plants formed by the arrangement of repeated biological units. In nearly all cases, the Fibonacci Numbers and the Golden Ratio occur in these arrangements. This topic has long fascinated scientists. Over a period of more than two decades, Irving Adler wrote a number of papers that construct a rigorously derived mathematical model for Phyllotaxis, which are major and enduring contributions to the field. These papers are collected in this reprint volume to enable their access to a wider readership.


Symmetry in Plants

Symmetry in Plants
Author: Roger V. Jean
Publisher: World Scientific
Total Pages: 900
Release: 1998
Genre: Science
ISBN: 9789810226213

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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.


Plant Form

Plant Form
Author: Adrian D. Bell
Publisher: Timber Press
Total Pages: 433
Release: 2008-09-03
Genre: Science
ISBN: 088192850X

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The ideal reference for students of botany and horticulture, gardeners, and naturalists. The diverse external shapes and structures that make up flowering plants can be bewildering and even daunting, as can the terminology used to describe them. An understanding of plant form—plant morphology—is essential to appreciating the wonders of the plant world and to the study of botany and horticulture at every level. In this ingeniously designed volume, the complex subject becomes both accessible and manageable. The first part of the book describes and clearly illustrates the major plant structures that can be seen with the naked eye or a hand lens. The second part focuses on how plants grow: bud development, the growth of reproductive organs, leaf arrangement, branching patterns, and the accumulation and loss of structures. Aimed at students of botany and horticulture, enthusiastic gardeners, and amateur naturalists, it functions as an illustrated dictionary, a basic course in plant morphology, and an intriguing and enlightening book to dip into.


Floral Diagrams

Floral Diagrams
Author: Louis P. Ronse De Craene
Publisher: Cambridge University Press
Total Pages:
Release: 2010-02-04
Genre: Science
ISBN: 1139484559

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Floral morphology remains the cornerstone for plant identification and studies of plant evolution. This guide gives a global overview of the floral diversity of the angiosperms through the use of detailed floral diagrams. These schematic diagrams replace long descriptions or complicated drawings as a tool for understanding floral structure and evolution. They show important features of flowers, such as the relative positions of the different organs, their fusion, symmetry, and structural details. The relevance of the diagrams is discussed, and pertinent evolutionary trends are illustrated. The range of plant species represented reflects the most recent classification of flowering plants based mainly on molecular data, which is expected to remain stable in the future. This book is invaluable for researchers and students working on plant structure, development and systematics, as well as being an important resource for plant ecologists, evolutionary botanists and horticulturists.


Symmetry In Plants

Symmetry In Plants
Author: Denis Barabe
Publisher: World Scientific
Total Pages: 888
Release: 1998-03-26
Genre: Science
ISBN: 9814499153

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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.