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Mutational and Morphological Analysis

Mutational and Morphological Analysis
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461215765

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The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.


Morphological Analysis in Comparison

Morphological Analysis in Comparison
Author: Wolfgang U. Dressler
Publisher: John Benjamins Publishing
Total Pages: 278
Release: 2000-01-01
Genre: Language Arts & Disciplines
ISBN: 9789027237088

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This volume consists of selected and revised papers from the Seventh International Morphology Meeting, held in 1996 in Vienna. It presents advances in morphological theorizing, such as the foundations of sign-based morphology, the morphology-syntax interface, the boundaries between compounding and derivation, derivation and inflection, and the emergence of morphology from premorphological precursors in early first-language acquisition. The contributions deal with morphological analyses in various fields of the ever-widening domain of morphology and its relevance to the lexicon. The comparative aspect is reflected in the above-mentioned areas, and through the variety of languages investigated: Indo-European and non-Indo-European languages of Europe, and Asian, African and American languages. This breadth allows valuable insights into current problems of morphological research in America, Western and Eastern Europe.


Mutational Analysis

Mutational Analysis
Author: Thomas Lorenz
Publisher: Springer Science & Business Media
Total Pages: 526
Release: 2010-06-08
Genre: Language Arts & Disciplines
ISBN: 3642124704

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Ordinary differential equations have been extended to evolution equations in Banach spaces. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.


Diversity and Evolution of Butterfly Wing Patterns

Diversity and Evolution of Butterfly Wing Patterns
Author: Toshio Sekimura
Publisher:
Total Pages: 320
Release: 2020-10-08
Genre: Science
ISBN: 9781013268496

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This book facilitates an integrative understanding of the development, genetics and evolution of butterfly wing patterns. To develop a deep and realistic understanding of the diversity and evolution of butterfly wing patterns, it is essential and necessary to approach the problem from various kinds of key research fields such as "evo-devo," "eco-devo," "developmental genetics," "ecology and adaptation," "food plants," and "theoretical modeling."The past decade-and-a-half has seen a veritable revolution in our understanding of the development, genetics and evolution of butterfly wing patterns. In addition, studies of how environmental and climatic factors affect the expression of color patterns has led to increasingly deeper understanding of the pervasiveness and underlying mechanisms of phenotypic plasticity. In recognition of the great progress in research on the biology, an international meeting titled "Integrative Approach to Understanding the Diversity of ButterflyWing Patterns (IABP-2016)" was held at Chubu University, Japan in August 2016. This book consists of selected contributions from the meeting. Authors include main active researchers of new findings of corresponding genes as well as world leaders in both experimental and theoretical approaches to wing color patterns.The book provides excellent case studies for graduate and undergraduate classes in evolution, genetics/genomics, developmental biology, ecology, biochemistry, and also theoretical biology, opening the door to a new era in the integrative approach to the analysis of biological problems. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.


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.


Evolutionary Genetics

Evolutionary Genetics
Author: R. S. Singh
Publisher: Cambridge University Press
Total Pages: 738
Release: 2000-03-28
Genre: Medical
ISBN: 9780521571234

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This book brings out the central role of evolutionary genetics in all aspects of its connection to evolutionary biology.


Set-Valued Analysis

Set-Valued Analysis
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
Total Pages: 474
Release: 2009-03-02
Genre: Science
ISBN: 0817648488

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"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math


Mouse Phenotypes

Mouse Phenotypes
Author: Virginia E. Papaioannou
Publisher: CSHL Press
Total Pages: 260
Release: 2005
Genre: Medical
ISBN: 9780879696405

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The generation of mutant mice raises many questions about the best means of phenotypic analysis, breeding, and maintenance. The answers are now available from two experts with a wealth of detailed knowledge never previously assembled in one volume. Informal and highly practical, this handbook provides step–by–step methods for troubleshooting experiments, from the basics of gene targeting through the analysis of postnatal effects.


Sound Mutations

Sound Mutations
Author: Degif Petros Banksira
Publisher: John Benjamins Publishing
Total Pages: 366
Release: 2000-10-20
Genre: Language Arts & Disciplines
ISBN: 9027298475

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This monograph, which evolved from the first linguistic dissertation to be written on Chaha (an Ethiopian Semitic language), is also the first book to deal exclusively with the phonology and morphology of the language. It is an exhaustive description and analysis, by a native speaker, of the sound patterns of this often misdescribed language and deserves to be the standard reference on the phonology of Chaha. The book presents a vast amount of new data and it unearths some fascinating new generalizations about double linking, geminate devoicing, nasalization of liquid consonants, phonotactic constraints within morphemes, and palatalization and labialization triggered by decomposition of a single back high round vowel. The book also challenges the categorization of Semitic subject affixes into prefix and suffix sets, instead proposing a novel classification in which all prefixes and some suffixes form a set that excludes the remaining suffixes. The generalizations and analyses are significant not only for the study of Chaha and Semitic languages, but also for phonological theory in general.


Mutational Analysis

Mutational Analysis
Author: Thomas Lorenz
Publisher: Springer
Total Pages: 526
Release: 2010-05-29
Genre: Mathematics
ISBN: 3642124712

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Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals. Here are some of the examples: - Feedback evolutions of compact subsets of the Euclidean space - Birth-and-growth processes of random sets (not necessarily convex) - Semilinear evolution equations - Nonlocal parabolic differential equations - Nonlinear transport equations for Radon measures - A structured population model - Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.