Growth Patterns In Physical Sciences And Biology
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Growth Patterns In Physical Sciences And Biology
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Author : Jaun-Manuel Garcia-Ruiz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Growth Patterns In Physical Sciences And Biology written by Jaun-Manuel Garcia-Ruiz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.
The Mathematics And Mechanics Of Biological Growth
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Author : Alain Goriely
language : en
Publisher: Springer
Release Date : 2017-05-29
The Mathematics And Mechanics Of Biological Growth written by Alain Goriely and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Mathematics categories.
This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
On Growth And Form
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Author : M. A. J. Chaplain
language : en
Publisher: John Wiley & Sons
Release Date : 1999
On Growth And Form written by M. A. J. Chaplain 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 1999 with Mathematics categories.
On Growth and Form Spatio-temporal Pattern Formation in Biology M. A. J. Chaplain and G. D. Singh, both of the University of Dundee, UK J. C. McLachlan, St. Andrews University, UK Spatio-temporal pattern formation is a major area of research within the subject of mathematical biology. The topic involves the use of mathematical modelling to analyse how patterns in biology are created and develop. For example, the growth, over time, of the intricate and beautiful patterns on certain sea-shells or the striped markings on a tiger can be modelled and their development predicted in terms of non-linear mathematical processes. The current volume captures the breadth of recent research into various aspects of spatio-temporal pattern and form, such as development biology, reaction-diffusion systems and morphometrics. * Brings the ideas of the classic On Growth and Form by D'Arcy Thompson, the founding classic of mathematical biology, fully up to date and looks to future developments in the subject * Foreword provided by Professor John Tyler Bonner, Princeton University * World class collection of internationally renowned contributors from both experimental and theoretical backgrounds Taking its inspiration from D'Arcy Thompson's classic and still influential volume On Growth and Form, this new volume presents a collection of 21 articles from the Plenary Speakers of the recent D'Arcy Thompson Conference, held at the University of Dundee, 20-24 September 1998. The topics covered include pattern formation in development biology, reaction-diffusion systems, intercellular systems and morphometrics, offering the reader a stimulating blend of theory and experiment. This book will be of particular interest to bio-mathematicians and development biologists. Paediatric clinicians, evolutionary biologists, orthodontists, anatomists, physiologists and many other members of the biology community will also benefit greatly from it.
Fractals Scaling And Growth Far From Equilibrium
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Author : Paul Meakin
language : en
Publisher: Cambridge University Press
Release Date : 1998
Fractals Scaling And Growth Far From Equilibrium written by Paul Meakin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Branches
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Author : Philip Ball
language : en
Publisher: Oxford University Press
Release Date : 2011-05-26
Branches written by Philip Ball and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Art categories.
Philip Ball explores the science of the shapes we see in nature, revealing how there is a pattern-forming tendency in the basic processes of nature, and from a few simple themes, and the repetition of simple rules, endless beautiful variations can arise.
Patterns Of Human Growth
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Author : Barry Bogin
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-06
Patterns Of Human Growth written by Barry Bogin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-06 with Medical categories.
A revised edition of an established text on human growth and development from an anthropological and evolutionary perspective.
Symmetry In Plants
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Author : Roger V. Jean
language : en
Publisher: World Scientific
Release Date : 1998
Symmetry In Plants written by Roger V. Jean 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 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 Life
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Author : Ian Stewart
language : en
Publisher: Hachette UK
Release Date : 2011-06-07
The Mathematics Of Life written by Ian Stewart and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-07 with Science categories.
Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world -- and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world -- and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.
Chemical Physics Of Intercalation Ii
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Author : Patrick Bernier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chemical Physics Of Intercalation Ii written by Patrick Bernier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This volume provides a record of the second ASI on the subject "Chemical Physics of Intercalation", which was patterned after its highly successful July 1987 predecessor. A growing community of chemists, physicists and materials scientists has come to appreciate the utility of extending the intercalation concept to generic guest-host compounds and solid solutions. The unifying themes are the complex phase equilibria which result from the competition between repulsive and attractive interactions between and within the guest and host substructures, the tunability of properties by control of guest concentration and superlattice periodicity, and the broad spectrum of potential applications which these materials may provide. The success of this initiative may be judged by noting the enlarged scope of materials covered in this volume as compared to its predecessor. The present volume covers the spectrum from 3-dimensional oxides, 2-dimensional classical layer intercalates,- dimensional doped polymers and zero-dimensional doped fullerene lattices. Hybrid systems such as polymers in layer hosts and nonporous hosts are also treated. Several chapters provide global unifying viewpoints by focussing on sold state chemical aspects, transport and optical properties, the occurrence of superconductivity, etc.
Annual Reviews Of Computational Physics Ii
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Author : Dietrich Stauffer
language : en
Publisher: World Scientific
Release Date : 1995-03-31
Annual Reviews Of Computational Physics Ii written by Dietrich Stauffer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-31 with Science categories.
This series of books covers all areas of computational physics, collecting together reviews where a newcomer can learn about the state of the art regarding methods and results.The present volume emphasizes simulations of specific materials (polymers, water, and amphiphilic systems), and then discusses surfaces, percolation, and critical slowing-down. Also emphasized is complex optimization, such as spin glasses, simulated annealing, and the graph colouring problem.