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Author : Wolfgang Pauli
Publisher : Springer
ISBN 13 : 9783540089629
Total Pages : 577 pages
Book Rating : 4.0/5 (896 download)
Download or read book Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg u.a. written by Wolfgang Pauli and published by Springer. This book was released on 1979-11-01 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. L. Bookstein
Publisher : Springer Science & Business Media
ISBN 13 : 364293093X
Total Pages : 201 pages
Book Rating : 4.6/5 (429 download)
Download or read book The Measurement of Biological Shape and Shape Change written by F. L. Bookstein and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Subhash R. Lele
Publisher : CRC Press
ISBN 13 : 1420036173
Total Pages : 328 pages
Book Rating : 4.4/5 (2 download)
Download or read book An Invariant Approach to Statistical Analysis of Shapes written by Subhash R. Lele and published by CRC Press. This book was released on 2001-01-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form , defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to succeed, it needs techniques that not only satisfy mathematical and statistical rigor but also attend to the scientific issues. An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. They present the history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for choosing landmark coordinates as a preferred data type. They describe the statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and reflection of the objects introduce infinitely many nuisance parameters. The most fundamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, classification, clustering, and asymmetry. Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological form. With the advantage of dual perspectives, An Invariant Approach to the Statistical Analysis of Shapes stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.
Author : Christopher G. Small
Publisher : Springer Science & Business Media
ISBN 13 : 1461240328
Total Pages : 237 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Statistical Theory of Shape written by Christopher G. Small and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis tical theory of shape. This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their study of shape variation. Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe matical tools from differential geometry and probability, and is the subject of this book. The book does not assume a particularly strong background by the reader in these subjects, and so a brief introduction is provided to each of these topics. Anyone who is unfamiliar with this material is advised to consult a more complete reference. As the literature on these subjects is vast, the introductory sections can be used as a brief guide to the literature.
Author : Pete E. Lestrel
Publisher : Cambridge University Press
ISBN 13 : 0521452015
Total Pages : 480 pages
Book Rating : 4.5/5 (214 download)
Download or read book Fourier Descriptors and Their Applications in Biology written by Pete E. Lestrel and published by Cambridge University Press. This book was released on 1997-05-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory and the practice of using Fourier descriptors as a method for measuring the shape of whole, or parts of organisms.
Author : N. Ikeya
Publisher : Elsevier
ISBN 13 : 9780080868523
Total Pages : 1353 pages
Book Rating : 4.8/5 (685 download)
Download or read book Evolutionary Biology of Ostracoda written by N. Ikeya and published by Elsevier. This book was released on 2011-10-10 with total page 1353 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many competitive works on the market concerning evolutionary biology, but this volume is quite distinctive in its idiographic aspect focusing on Ostracoda viewed from a wide range of disciplines, ages and environments. The book deals with various lines of idiographic biology and palaeontology of Ostracoda and nomothetic trials focusing strongly on evolutionary biology. Particular themes are morphology, biology, evolution, speciation, ecology, palaeoecology, deep sea fauna, biogeography, palaeobiogeography, biostratigraphy and exploration, all concerning Ostracoda. The last decade has witnessed a spectacular renewal of interest in the study of Otracoda, particularly in the evolutionary biology of Ostracoda, including speciation. Ostracoda are unique, ranging in age from the Cambrian period to modern times with carapaces ready to be preserved as fossils, providing various lines of invaluable evidence regarding evolutionary processes. More than 120 participants from 20 countries assembled at the Ninth International Symposium on Ostracoda and this book is a collection of all the papers presented at the Symposium, plus selected papers submitted by non-attending members. It presents an outstanding record of much pioneering research and will be of interest to specalists in Ostracoda as well as all earth and life scientists concerned with evolution. Its value is further enhanced by easy-to-use indexes of authors, localities and taxa.
Author : Andrew D. Dixon
Publisher : CRC Press
ISBN 13 : 1351446665
Total Pages : 508 pages
Book Rating : 4.3/5 (514 download)
Download or read book Fundamentals of Craniofacial Growth written by Andrew D. Dixon and published by CRC Press. This book was released on 2017-12-14 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together in one volume selected important topics in craniofacial growth. Topics include: principles of skeletal growth; osteogenesis and its control; formation of the cranial base and craniofacial joints; prenatal development of the facial skeleton; growth of the mandible, nasomaxillary complex, orbit, cranial base, ear capsule, and cranial vault; bone remodeling; muscles; soft tissues; and blood vessels. Fundamentals of Craniofacial Growth contains detailed illustrations and extensive reference lists. Independently authored chapters provide comprehensive reviews encompassing both contemporary and historical perspectives. In addition to medicine and dentistry, contributors provide expertise from such diverse backgrounds as anatomy, biology, biomathematics, embryology, orthodontics, physical anthropology, and plastic and reconstructive surgery.
Author : Simon A. Levin
Publisher : Springer Science & Business Media
ISBN 13 : 3642501249
Total Pages : 637 pages
Book Rating : 4.6/5 (425 download)
Download or read book Frontiers in Mathematical Biology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
Author : Ryan Metcalfe
Publisher : Archaeopress Publishing Ltd
ISBN 13 : 1784910279
Total Pages : 177 pages
Book Rating : 4.7/5 (849 download)
Download or read book Palaeopathology in Egypt and Nubia written by Ryan Metcalfe and published by Archaeopress Publishing Ltd. This book was released on 2014-12-31 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 16 papers explore the subject of palaeopathology in Egypt and Nubia from its beginnings in the early 1900s through to current research themes and the impact of technological development in the field.
Author : Ian L. Dryden
Publisher : John Wiley & Sons
ISBN 13 : 1119072506
Total Pages : 496 pages
Book Rating : 4.1/5 (19 download)
Download or read book Statistical Shape Analysis written by Ian L. Dryden and published by John Wiley & Sons. This book was released on 2016-06-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised and updated edition of this introduction to modern statistical methods for shape analysis Shape analysis is an important tool in the many disciplines where objects are compared using geometrical features. Examples include comparing brain shape in schizophrenia; investigating protein molecules in bioinformatics; and describing growth of organisms in biology. This book is a significant update of the highly-regarded `Statistical Shape Analysis’ by the same authors. The new edition lays the foundations of landmark shape analysis, including geometrical concepts and statistical techniques, and extends to include analysis of curves, surfaces, images and other types of object data. Key definitions and concepts are discussed throughout, and the relative merits of different approaches are presented. The authors have included substantial new material on recent statistical developments and offer numerous examples throughout the text. Concepts are introduced in an accessible manner, while retaining sufficient detail for more specialist statisticians to appreciate the challenges and opportunities of this new field. Computer code has been included for instructional use, along with exercises to enable readers to implement the applications themselves in R and to follow the key ideas by hands-on analysis. Statistical Shape Analysis: with Applications in R will offer a valuable introduction to this fast-moving research area for statisticians and other applied scientists working in diverse areas, including archaeology, bioinformatics, biology, chemistry, computer science, medicine, morphometics and image analysis .
Author : Jonathan M. Adrain
Publisher : Springer Science & Business Media
ISBN 13 : 9780306467219
Total Pages : 420 pages
Book Rating : 4.4/5 (672 download)
Download or read book Fossils, Phylogeny, and Form written by Jonathan M. Adrain and published by Springer Science & Business Media. This book was released on 2002-01-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phylogenetic analysis and morphometrics have been developed by biologists into rigorous analytic tools for testing hypotheses about the relationships between groups of species. This book applies these tools to paleontological data. The fossil record is our one true chronicle of the history of life, preserving a set of macroevolutionary patterns; thus various hypotheses about evolutionary processes can be tested in the fossil record using phylogentic analysis and morphometrics. The first book of its type, Fossils, Phylogeny, and Form will be useful in evolutionary biology, paleontology, systematics, evolutionary development, theoretical biology, biogeography, and zoology. It will also provide a practical, researcher-friendly gateway into computer-based phylogenetics and morphometrics.
Author : Peter L. Antonelli
Publisher : University of Alberta
ISBN 13 : 9780888640895
Total Pages : 362 pages
Book Rating : 4.6/5 (48 download)
Download or read book Mathematical Essays on Growth and the Emergence of Form written by Peter L. Antonelli and published by University of Alberta. This book was released on 1985 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of interest to theoretical biologists, as well as mathematicians, physical scientists or anyone concerned with problems in growth, chemical ecology and the developmental biology of form, these essays on biological modelling by American, British and Canadian researchers provide an interesting geometric excursion to the frontiers of contemporary mathematical biology.
Author : William J. Jungers
Publisher : Springer Science & Business Media
ISBN 13 : 1489936475
Total Pages : 492 pages
Book Rating : 4.4/5 (899 download)
Download or read book Size and Scaling in Primate Biology written by William J. Jungers and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: In very general terms, "scaling" can be defined as the structural and func tional consequences of differences in size (or scale) among organisms of more or less similar design. Interest in certain aspects of body size and scaling in primate biology (e. g. , relative brain size) dates to the turn of the century, and scientific debate and dialogue on numerous aspects of this general subject have continued to be a primary concern of primatologists, physical an thropologists, and other vertebrate biologists up to the present. Indeed, the intensity and scope of such research on primates have grown enormously in the past decade or so. Information continues to accumulate rapidly from many different sources, and the task of synthesizing the available data and theories on any given topic is becoming increasingly formidable. In addition to the formal exchange of new ideas and information among scientific experts in specific areas of scaling research, two of the major goals of this volume are an assessment of our progress toward understanding various size-related phe nomena in primates and the identification of future prospects for continuing advances in this realm. Although the subject matter and specific details of the issues considered in the 20 chapters that follow are very diversified, all topics share the same fundamental and unifying biological theme: body size variation in primates and its implications for behavior and ecology, anatomy and physiology, and evolution.
Author : Stephen L. Bacharach
Publisher : Springer Science & Business Media
ISBN 13 : 9400942613
Total Pages : 564 pages
Book Rating : 4.4/5 (9 download)
Download or read book Information Processing in Medical Imaging written by Stephen L. Bacharach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 9th Conference, Washington D.C., 10-14 June 1985 Sponsored by the Clinical Center and the Fogarty International Center of the National Institutes of Health, Bethesda, Maryland, USA
Author : Frédéric Cazals
Publisher : Springer Science & Business Media
ISBN 13 : 364231208X
Total Pages : 333 pages
Book Rating : 4.6/5 (423 download)
Download or read book Modeling in Computational Biology and Biomedicine written by Frédéric Cazals and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational biology, mathematical biology, biology and biomedicine are currently undergoing spectacular progresses due to a synergy between technological advances and inputs from physics, chemistry, mathematics, statistics and computer science. The goal of this book is to evidence this synergy by describing selected developments in the following fields: bioinformatics, biomedicine and neuroscience. This work is unique in two respects - first, by the variety and scales of systems studied and second, by its presentation: Each chapter provides the biological or medical context, follows up with mathematical or algorithmic developments triggered by a specific problem and concludes with one or two success stories, namely new insights gained thanks to these methodological developments. It also highlights some unsolved and outstanding theoretical questions, with a potentially high impact on these disciplines. Two communities will be particularly interested in this book. The first one is the vast community of applied mathematicians and computer scientists, whose interests should be captured by the added value generated by the application of advanced concepts and algorithms to challenging biological or medical problems. The second is the equally vast community of biologists. Whether scientists or engineers, they will find in this book a clear and self-contained account of concepts and techniques from mathematics and computer science, together with success stories on their favorite systems. The variety of systems described represents a panoply of complementary conceptual tools. On a practical level, the resources listed at the end of each chapter (databases, software) offer invaluable support for getting started on a specific topic in the fields of biomedicine, bioinformatics and neuroscience.
Author : R.R. Poznanski
Publisher : Routledge
ISBN 13 : 1351430963
Total Pages : 366 pages
Book Rating : 4.3/5 (514 download)
Download or read book Modeling in the Neurosciences written by R.R. Poznanski and published by Routledge. This book was released on 2019-01-22 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from more than 40 renowned experts, Modeling in the Neurosciences: From Ionic Channels to Neural Networks is essential for those interested in neuronal modeling and quantitative neiroscience. Focusing on new mathematical and computer models, techniques and methods, this monograph represents a cohesive and comprehensive treatment
Author : Roger Buis
Publisher : John Wiley & Sons
ISBN 13 : 178630483X
Total Pages : 246 pages
Book Rating : 4.7/5 (863 download)
Download or read book Biology and Mathematics written by Roger Buis and published by John Wiley & Sons. This book was released on 2019-12-12 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: To formalize the dynamics of living things is to search for invariants in a system that contains an irreducible aspect of “fuzziness”, because biological processes are characterized by their large statistical variability, and strong dependence on temporal and environmental factors. What is essential is the identification of what remains stable in a “living being” that is highly fluctuating. The use of mathematics is not limited to the use of calculating tools to simulate and predict results. It also allows us to adopt a way of thinking that is founded on concepts and hypotheses, leading to their discussion and validation. Instruments of mathematical intelligibility and coherence have gradually “fashioned” the view we now have of biological systems. Teaching and research, fundamental or applied, are now dependent on this new order known as Integrative Biology or Systems Biology.
