Modeling One Dimensional Pattern Formation by Anti-diffusion PDF Download
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Author: J. F. Kaashoek
Publisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 294
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Author: J. F. Kaashoek
Publisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 294
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Author:
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 420
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Author: Philip K. Maini
Publisher: Springer Science & Business Media
ISBN: 1461301335
Category : Mathematics
Languages : en
Pages : 327
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Book Description
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.
Author: Eugene L. Lawler
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 340
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Author: Juncheng Wei
Publisher: Springer Science & Business Media
ISBN: 1447155262
Category : Mathematics
Languages : en
Pages : 324
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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.
Author: Patrick J. Oonincx
Publisher:
ISBN:
Category : Fourier transformations
Languages : en
Pages : 188
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Author: Marten H. Wegkamp
Publisher:
ISBN:
Category : Bayesian statistical decision theory
Languages : en
Pages : 134
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Author: Wim Vervaat
Publisher:
ISBN:
Category : Lattice theory
Languages : en
Pages : 194
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Author: M. van Loon
Publisher:
ISBN:
Category : Air
Languages : en
Pages : 170
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Author: B. J. Wijers
Publisher:
ISBN:
Category : Computer networks
Languages : en
Pages : 168
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