Phyllotaxis Models
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Phyllotaxis Models
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Author : Jean-Paul Walch
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-13
Phyllotaxis Models written by Jean-Paul Walch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-13 with Science categories.
The equations of phyllotaxis were discovered by Douady and Couder: these describe the inhibition "force" generated by an incipient primordium, preventing the initiation of other primordia in its vicinity: the method that was lacking was to take into account the distance of primordia to the meristem apex over the course of its development. With these parameters, our model integrates both biochemical "forces" (inhibition due to auxin) and mechanical forces (contact pressure). This powerful tool allows us to revisit many important notions of plant biology. For example, we model auxin concentrations at the plant apex, as well as the development of vegetative and reproductive meristems. We also explain why the whorls of monocots are trimerous and those of plants with quincuncial perianths are pentamerous. We design a geometric method for reconstructing inflorescences from their building blocks, i.e. floral meristems. We also show that phyllotaxic spirals are only the application of a general property of symmetry, the advantages of which have been exploited by natural selection.
Phyllotactic Patterns A Multidisciplinary Approach
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Author : Denis Barabe
language : en
Publisher: World Scientific
Release Date : 2020-04-22
Phyllotactic Patterns A Multidisciplinary Approach written by Denis Barabe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Science categories.
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
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Author : Jean-Paul Walch
language : en
Publisher: John Wiley & Sons
Release Date : 2024-07-24
Phyllotaxis And Symmetry In Angiosperms written by Jean-Paul Walch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-24 with Science categories.
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
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Author : Boris Rozin
language : en
Publisher: BrownWalker Press
Release Date : 2020-08-01
Double Helix Of Phyllotaxis written by Boris Rozin and has been published by BrownWalker Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-01 with Science categories.
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.
Meristematic Tissues In Plant Growth And Development
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Author : Michael T. McManus
language : en
Publisher: CRC Press
Release Date : 2002
Meristematic Tissues In Plant Growth And Development written by Michael T. McManus and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Nature categories.
This book presents an overview of the role of meristematic tissues in plant growth and development, with an emphasis on advances of the last decade. It examines meristematic tissues as a defined, independent tissue type in plants and gives consideration to their origin, maintenance, and function. The editors pay particular attention to the molecular mechanisms underlying meristem formation and maintenance. This volume is a tremendously valuable resource for plant geneticists, developmental biologists, and molecular biologists.
Symmetry In Plants
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Author : Denis Barabe
language : en
Publisher: World Scientific
Release Date : 1998-03-26
Symmetry In Plants written by Denis Barabe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-26 with Science categories.
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.
The Mathematics Of Form And Pattern Applied To Plant Phyllotaxis
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Author : James Charles Strickland
language : en
Publisher:
Release Date : 1997
The Mathematics Of Form And Pattern Applied To Plant Phyllotaxis written by James Charles Strickland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Phyllotaxis categories.
Spiral Symmetry
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Author : Istvan Hargittai
language : en
Publisher: World Scientific
Release Date : 1992-03-24
Spiral Symmetry written by Istvan Hargittai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-24 with Science categories.
From the tiny twisted biological molecules to the gargantuan curling arms of many galaxies, the physical world contains a startling repetition of spiral patterns. Today, researchers have a keen interest in identifying, measuring, and defining these patterns in scientific terms. Spirals play an important role in the growth processes of many biological forms and organisms. Also, through time, humans have imitated spiral motifs in their art forms, and invented new and unusual spirals which have no counterparts in the natural world. Therefore, one goal of this multiauthored book is to stress the conspicuous role that spirals play in science, and to show the reader how to create such spirals using a computer. Another goal is to show how simple mathematical formulas can reveal magnificent shapes and images. This interdisciplinary book revolves around a common theme, spiral symmetry, and is intended for scientists, humanists, and interested laypeople.
Beyond Measure
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2002
Beyond Measure written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
Practical Systems Biology
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Author : Alistair Hetherington
language : en
Publisher: Taylor & Francis
Release Date : 2008-11-19
Practical Systems Biology written by Alistair Hetherington and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-19 with Science categories.
Practical Systems Biology provides a detailed overview of the different approaches used in this relatively new discipline, integrating bioinformatics, genomics, proteomics and metabolomics. Various areas of research are also discussed, including the use of computational models of biological processes, and post-genomic research.