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Growth Patterns in Physical Sciences and Biology

Growth Patterns in Physical Sciences and Biology
Author: Jaun-Manuel Garcia-Ruiz
Publisher: Springer Science & Business Media
Total Pages: 417
Release: 2012-12-06
Genre: Science
ISBN: 1461528526

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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.


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.


Branches

Branches
Author: Philip Ball
Publisher: Oxford University Press
Total Pages: 236
Release: 2011-05-26
Genre: Art
ISBN: 0199604886

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"Nature's patterns is a trilogy composed of Shapes, Flow, and Branches."


Pattern Formation In The Physical And Biological Sciences

Pattern Formation In The Physical And Biological Sciences
Author: H. Frederick Nijhout
Publisher: CRC Press
Total Pages: 318
Release: 2018-02-19
Genre: Mathematics
ISBN: 0429972997

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This Lecture Notes Volume represents the first time any of the summer school lectures have been collected and published on a discrete subject rather than grouping all of a season's lectures together. This volume provides a broad survey of current thought on the problem of pattern formation. Spanning six years of summer school lectures, it includes articles which examine the origin and evolution of spatial patterns in physio-chemical and biological systems from a great diversity of theoretical and mechanistic perspectives. In addition, most of these pieces have been updated by their authors and three articles never previously published have been added.


The Mathematics and Mechanics of Biological Growth

The Mathematics and Mechanics of Biological Growth
Author: Alain Goriely
Publisher: Springer
Total Pages: 646
Release: 2017-05-29
Genre: Mathematics
ISBN: 038787710X

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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.


Annual Reviews of Computational Physics II

Annual Reviews of Computational Physics II
Author: Dietrich Stauffer
Publisher: World Scientific
Total Pages: 416
Release: 1995-03-31
Genre: Science
ISBN: 981452512X

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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. Contents:Preface (D Stauffer)Spinodal Decomposition in Polymer Blends (S C Glotzer)Molecular Dynamics Simulations of Water (F Sciortino et al.)Structure, Topology and Phase Behaviour of Amphiphilic Systems (G Gompper & J Goos)Nonequilibrium Surfaces (L-H Tang)Progress in Percolation Theory and Its Applications (M Sahimi)The Microscopic Representation of Complex Macroscopic Phenomena: Critical Slowing Down — A Blessing in Disguise (S Solomon)Monte Carlo Studies of Ising Spin Glasses and Random Field Systems (H Rieger)Optimization by Simulated Annealing: Recent Progress (D A Stariolo & C Tsallis)Applications of Statistical Mechanics to Combinatorial Search Problems (T Hogg) Readership: Computational physicists and theoretical physicists. keywords:Polymers;Complex Fluids;Spin Glasses;Optimization


Unifying Themes in Complex Systems IV

Unifying Themes in Complex Systems IV
Author: Ali A. Minai
Publisher: Springer Science & Business Media
Total Pages: 419
Release: 2008-11-05
Genre: Science
ISBN: 3540738495

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In June of 2002, over 500 professors, students and researchers met in Boston, Massachusetts for the Fourth International Conference on Complex Systems. The attendees represented a remarkably diverse collection of fields: biology, ecology, physics, engineering, computer science, economics, psychology and sociology, The goal of the conference was to encourage cross-fertilization between the many disciplines represented and to deepen understanding of the properties common to all complex systems. This volume contains 43 papers selected from the more than 200 presented at the conference. Topics include: cellular automata, neurology, evolution, computer science, network dynamics, and urban planning. About NECSI: For over 10 years, The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI conducts research, education, knowledge dissemination, and community development around the world for the promotion of the study of complex systems and its application for the betterment of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book Series in conjunction with Springer Publishers. ALI MINAI is an Affiliate of the New England Complex Systems Institute and an Associate Professor in the Department of Electrical and Computer Engineering and Computer Science at the University of Cincinnati. YANEER BAR-YAM is President and founder of the New England Complex Systems Institute. He is the author of Dynamics of Complex Systems and Making Things Work: Solving Complex Problems in a Complex World.


Chemical Physics of Intercalation II

Chemical Physics of Intercalation II
Author: Patrick Bernier
Publisher: Springer Science & Business Media
Total Pages: 402
Release: 2012-12-06
Genre: Science
ISBN: 146152850X

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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.


Fractal Geometry in Biological Systems

Fractal Geometry in Biological Systems
Author: Philip M. Iannaccone
Publisher: CRC Press
Total Pages: 448
Release: 1996-07-25
Genre: Science
ISBN: 9780849376368

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Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.