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Morphogenesis and Pattern Formation in Biological Systems

Morphogenesis and Pattern Formation in Biological Systems
Author: T. Sekimura
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2013-11-11
Genre: Mathematics
ISBN: 4431659587

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A central goal of biology is to decode the mechanisms that underlie the processes of morphogenesis and pattern formation. Concerned with the analysis of those phenomena, this book integrates experimental and theoretical aspects of biology for the construction and investigation of models of complex processes. It offers an interdisciplinary approach to the pattern formation problems and provides a scope of forthcoming integrated biology including experiments and theories.


Pattern Formation in Morphogenesis

Pattern Formation in Morphogenesis
Author: Vincenzo Capasso
Publisher: Springer Science & Business Media
Total Pages: 283
Release: 2012-10-03
Genre: Mathematics
ISBN: 3642201636

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Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.


Thermodynamics and Pattern Formation in Biology

Thermodynamics and Pattern Formation in Biology
Author: Ingolf Lamprecht
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 536
Release: 2019-07-08
Genre: Science
ISBN: 3110848406

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No detailed description available for "Thermodynamics and Pattern Formation in Biology".


Morphogenesis

Morphogenesis
Author: Paul Bourgine
Publisher: Springer Science & Business Media
Total Pages: 353
Release: 2010-10-28
Genre: Technology & Engineering
ISBN: 3642131743

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What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.


Mathematical Aspects of Pattern Formation in Biological Systems

Mathematical Aspects of Pattern Formation in Biological Systems
Author: Juncheng Wei
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2013-09-18
Genre: Mathematics
ISBN: 1447155262

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This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.


Mathematical Models for Biological Pattern Formation

Mathematical Models for Biological Pattern Formation
Author: Philip K. Maini
Publisher: Springer Science & Business Media
Total Pages: 327
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461301335

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This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.


Pattern Formation in Biology, Vision and Dynamics

Pattern Formation in Biology, Vision and Dynamics
Author: Alessandra Carbone
Publisher: World Scientific
Total Pages: 452
Release: 2000
Genre: Science
ISBN: 9789810237929

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Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader.


Biological Processes in Living Systems

Biological Processes in Living Systems
Author: C. H. Waddington
Publisher: Routledge
Total Pages: 296
Release: 2017-09-08
Genre: Science
ISBN: 1351297147

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Biological Processes in Living Systems is the fourth and final volume of the Toward a Theoretical Biology series. It contains essays that deal in detail with particular biological processes: morphogenesis of pattern, the development of neuronal networks, evolutionary processes, and others. The main thrust of this volume brings relevance to the general underlying nature of living systems. Faced with trying to understand how the complexity of molecular microstates leads to the relative simplicity of phenome structures, Waddington-on behalf of his colleagues-stresses on the structure of language as a paradigm for a theory of general biology. This is language in an imperative mood: a set of symbols, organized by some form of generative grammar, making possible the conveyance of commands for action to produce effects on the surroundings of the emitting and the receiving entities. "Biology," he writes, "is concerned with algorithm and program." Among the contributions in this volume are: "The Riemann-Hugoniot Catastrophe and van der Waals Equation," David H. Fowler; "Differential Equations for the Heartbeat and Nerve Impulse," E. Christopher Zeeman; "Structuralism and Biology," Rene Thom; "The Concept of Positional Information and Pattern Formation," Lewis Wolpert; "Pattern Formation in Fibroblast Cultures," Tom Elsdale; "Form and Information," C. H. Waddington; "Organizational Principles for Theoretical Neurophysiology," Michael A. Arbib; "Stochastic Models of Neuroelectric Activity," Jack D. Cowan. Biological Processes in Living Systems is a pioneering volume by recognized leaders in an ever-growing field.


Modelling the Dynamics of Biological Systems

Modelling the Dynamics of Biological Systems
Author: Erik Mosekilde
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2012-12-06
Genre: Science
ISBN: 3642792901

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The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.