Mathematical Hierarchies and Biology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885796
Total Pages : 404 pages
Book Rating : 4.8/5 (857 download)

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Book Synopsis Mathematical Hierarchies and Biology by : Boris Grigorʹevich Mirkin

Download or read book Mathematical Hierarchies and Biology written by Boris Grigorʹevich Mirkin and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-four articles from the November 1996 workshop investigate the reconstruction of trees or ranking hierarchies from dissimilarity or entity-to-character data, the use of hierarchies for modeling evolution and other processes, and the combining of gene trees. Included are mathematical treatments of hierarchies in the frameworks of set systems, linear subspaces, graph objects, and tree metrics in their analyses. Such current applications as learning robots, intron evolution, and the development of language are addressed. Annotation copyrighted by Book News, Inc., Portland, OR.

Mathematical Hierarchies and Biology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821807625
Total Pages : 401 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Hierarchies and Biology by : Boris Grigorʹevich Mirkin

Download or read book Mathematical Hierarchies and Biology written by Boris Grigorʹevich Mirkin and published by American Mathematical Soc.. This book was released on 1997 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-four articles from the November 1996 workshop investigate the reconstruction of trees or ranking hierarchies from dissimilarity or entity-to-character data, the use of hierarchies for modeling evolution and other processes, and the combining of gene trees. Included are mathematical treatments of hierarchies in the frameworks of set systems, linear subspaces, graph objects, and tree metrics in their analyses. Such current applications as learning robots, intron evolution, and the development of language are addressed. Annotation copyrighted by Book News, Inc., Portland, OR.

Mathematical Hierarchies and Biology

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Publisher :
ISBN 13 : 9781470439958
Total Pages : 388 pages
Book Rating : 4.4/5 (399 download)

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Book Synopsis Mathematical Hierarchies and Biology by : Boris Grigorʹevich Mirkin

Download or read book Mathematical Hierarchies and Biology written by Boris Grigorʹevich Mirkin and published by . This book was released on 1997 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical approach to the study of hierarchies presents the theoretical basis for many important areas of current scientific investigation. Biology has benefited from this research and has also stimulated the mathematical study of hierarchies. This collection presents papers devoted to theoretical, algorithmical, and application issues related to (1) reconstructing hierarchies (trees or ranking) from (dis)similarity or entity-to-character data, (2) using hierarchies for modeling evolution and other processes, and (3) combining (gene) trees. The papers in this volume provide a contempora.

Foundations of Mathematical Biology

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Publisher : Academic Press
ISBN 13 : 1483272133
Total Pages : 316 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of Mathematical Biology by : Robert J. Rosen

Download or read book Foundations of Mathematical Biology written by Robert J. Rosen and published by Academic Press. This book was released on 2013-10-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematical Biology, Volume 1, Subcellular Systems, provides an introduction the place of mathematical biology in relation to the other biological, physical, and organizational sciences. It discusses the use of mathematical tools and techniques to solve biological problems. The book contains four chapters and begins with a discussion of the nature of hierarchical control in living matter. This is followed by a chapter on chemical kinetics and enzyme kinetics, covering the physicomathematical principles, models, and approximations underlying transition-state theory and the unimolecular reaction. Subsequent chapters deal with quantum genetics and membrane excitability.

The Mathematical Nature of the Living World

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Publisher : World Scientific
ISBN 13 : 9789812565754
Total Pages : 308 pages
Book Rating : 4.5/5 (657 download)

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Book Synopsis The Mathematical Nature of the Living World by : Gilbert Chauvet

Download or read book The Mathematical Nature of the Living World written by Gilbert Chauvet and published by World Scientific. This book was released on 2005 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of the book a theory of functional biology thatincorporates the fundamental principles underlying the functioning ofliving organisms is clearly appropriate as we celebrate the 50thanniversary of the discovery by Watson and Crick of the structure ofthe DNA molecule.

Hierarchy in Natural and Social Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 1402041276
Total Pages : 248 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Hierarchy in Natural and Social Sciences by : Denise Pumain

Download or read book Hierarchy in Natural and Social Sciences written by Denise Pumain and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hierarchy is a form of organisation of complex systems that rely on or produce a strong differentiation in capacity (power and size) between the parts of the system. It is frequently observed within the natural living world as well as in social institutions. According to the authors, hierarchy results from random processes, follows an intentional design, or is the result of the organisation which ensures an optimal circulation of energy for information. This book reviews ancient and modern representations and explanations of hierarchies, and compares their relevance in a variety of fields, such as language, societies, cities, and living species. It throws light on concepts and models such as scaling laws, fractals and self-organisation that are fundamental in the dynamics and morphology of complex systems. At a time when networks are celebrated for their efficiency, flexibility and better social acceptance, much can be learned about the persistent universality and adaptability of hierarchies, and from the analogies and differences between biological and social organisation and processes. This book addresses a wide audience of biologists and social scientists, as well as managers and executives in a variety of institutions.

Memory Evolutive Systems

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Publisher : Elsevier Science Limited
ISBN 13 : 9780444522443
Total Pages : 386 pages
Book Rating : 4.5/5 (224 download)

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Book Synopsis Memory Evolutive Systems by : Andrée Charles Ehresmann

Download or read book Memory Evolutive Systems written by Andrée Charles Ehresmann and published by Elsevier Science Limited. This book was released on 2007 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Memory Evolutive Systems represents a mathematical model for natural open self-organizing systems, such as biological, sociological or neural systems. In these systems, the dynamics are modulated by the cooperative and/or competitive interactions between the global system and a net of internal Centers of Regulation (CR) wich a differential access to a central heirarchical Memory. The MES proposes a mathematical model for autonomous evolutionary systems and is based on the Category Theory of mathematics. It provides a framework to study and possibly simulate the structre of "living systems" and their dynamic behavior. MES explores what characterizes a complex evolutionary system, what distinguishes it from inanimate physical systems, its functioning and evolution in time, from its birth to its death. The behavior of this type of system depends heavily on its former experiences, and a model representing the system over a period of time, could anticipate later behavior and perhaps even predict some evolutionary alternatives. The role of the MES model will be two-fold: theoretical, for a comprehension of a fundamental nature and practical, for applications in biology, medicine, sociology, ecology, economy, meteorology, and other sciences. Key Features: *Comprehensive and comprehensible coverage of Memory Evolutive System *Written by the developers of the Memory Evolutive Systems *Designed to explore the common language between sciences

The Hierarchical Genome and Differentiation Waves

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Publisher : World Scientific
ISBN 13 : 9789810222680
Total Pages : 936 pages
Book Rating : 4.2/5 (226 download)

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Book Synopsis The Hierarchical Genome and Differentiation Waves by : Richard Gordon

Download or read book The Hierarchical Genome and Differentiation Waves written by Richard Gordon and published by World Scientific. This book was released on 1999 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades numerous scientists have called for a unification of the fields of embryo development, genetics, and evolution. Each field has glaring holes in its ability to explain the fundamental phenomena of life. In this book, the author shows how the phenomenon of cell differentiation, considered in its temporal and spatial aspects during embryogenesis, provides a starting point for a unified theory of multicellular organisms (plants, fungi and animals), including their evolution and genetics. This unification is based on the recent discovery of differentiation waves by the author and his colleagues, described in the appendices, and illustrated by a flip movie prepared by a medical artist. To help the reader through the many fields covered, a glossary is included.This book will be of great value to the researcher and practicing doctors/scientists alike. The research students will receive an in-depth tutorial on the topics covered. The seasoned researcher will appreciate the applications and the gold mine of other possibilities for novel research topics.

The Mathematics and Mechanics of Biological Growth

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Publisher : Springer
ISBN 13 : 038787710X
Total Pages : 646 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis The Mathematics and Mechanics of Biological Growth by : Alain Goriely

Download or read book The Mathematics and Mechanics of Biological Growth written by Alain Goriely and published by Springer. This book was released on 2017-05-29 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and 21st Century Biology

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Publisher : National Academies Press
ISBN 13 : 0309095840
Total Pages : 163 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Mathematics and 21st Century Biology by : National Research Council

Download or read book Mathematics and 21st Century Biology written by National Research Council and published by National Academies Press. This book was released on 2005-07-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systemsâ€" from molecules to ecosystemsâ€"an analysis of cross-cutting themes, and a set of recommendations to advance the mathematics-biology connection that are applicable to all agencies funding research in this area.

Biological Neural Networks: Hierarchical Concept of Brain Function

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Publisher : Springer Science & Business Media
ISBN 13 : 1461241006
Total Pages : 307 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Biological Neural Networks: Hierarchical Concept of Brain Function by : Konstantin V. Baev

Download or read book Biological Neural Networks: Hierarchical Concept of Brain Function written by Konstantin V. Baev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a novel conceptual theoretical framework of neuro science and is an attempt to show that we can postulate a very small number of assumptions and utilize their heuristics to explain a very large spectrum of brain phenomena. The major assumption made in this book is that inborn and acquired neural automatisms are generated according to the same func tional principles. Accordingly, the principles that have been revealed experi mentally to govern inborn motor automatisms, such as locomotion and scratching, are used to elucidate the nature of acquired or learned automat isms. This approach allowed me to apply the language of control theory to describe functions of biological neural networks. You, the reader, can judge the logic of the conclusions regarding brain phenomena that the book derives from these assumptions. If you find the argument flawless, one can call it common sense and consider that to be the best praise for a chain of logical conclusions. For the sake of clarity, I have attempted to make this monograph as readable as possible. Special attention has been given to describing some of the concepts of optimal control theory in such a way that it will be under standable to a biologist or physician. I have also included plenty of illustra tive examples and references designed to demonstrate the appropriateness and applicability of these conceptual theoretical notions for the neurosciences.

Scales, Hierarchies and Emergent Properties in Ecological Models

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Publisher : Peter Lang Publishing
ISBN 13 : 9780820454627
Total Pages : 0 pages
Book Rating : 4.4/5 (546 download)

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Book Synopsis Scales, Hierarchies and Emergent Properties in Ecological Models by : Franz Hölker

Download or read book Scales, Hierarchies and Emergent Properties in Ecological Models written by Franz Hölker and published by Peter Lang Publishing. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and computational approaches provide powerful tools in the study of problems in population biology and ecosystem science. Recent analytical advances, coupled with the enhanced potential of high-speed computation, have opened up new sights and presented new challenges especially in those fields of ecological theory which met methodological restrictions in the past: For many years scales and hierarchies have been considered an important research topic in ecology. Nevertheless, the prevailing methodological constraints frequently reduced the analysis to conceptual consideration. Conceptual structuring remains to be the primary practical contribution of scale and hierarchy to the development of ecological theory. In this volume we attempt to demonstrate to what extent this is currently changing. The application of models which are capable to represent precisely the relations of different scales and integration levels have made a remarkable progress and let us observe how a wide range of emergent properties can be analyzed in the output of ecological models. By linking empirical findings and similar model specifications with the implementation of self-organisation processes on the level of model components, the analytical and synthetic power of modelling can be extended to a new, synergistic level. The contributions of this volume provide background, examples and current results. The volumes starts with concept articles, then presents an example of artificial networks, provides papers concerning genetic aspects and ends with articles dealing with botanical features.

The Axiomatic Method in Biology

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Publisher : CUP Archive
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Axiomatic Method in Biology by :

Download or read book The Axiomatic Method in Biology written by and published by CUP Archive. This book was released on with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction Mathematical Taxonomy

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Publisher : Cambridge University Press
ISBN 13 : 9780521239790
Total Pages : 168 pages
Book Rating : 4.2/5 (397 download)

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Book Synopsis Introduction Mathematical Taxonomy by : G. Dunn

Download or read book Introduction Mathematical Taxonomy written by G. Dunn and published by Cambridge University Press. This book was released on 1982-04-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your technical skills and professional expertise are evidence of your ability to accomplish difficult tasks. Strong presentation skills can help you further advance your career. The ability to present articulately to customers, management, peers and others can significantly enhance your credibility, clout, and professional status. Delivering ......

Phylogenetic Supertrees

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402023293
Total Pages : 568 pages
Book Rating : 4.0/5 (232 download)

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Book Synopsis Phylogenetic Supertrees by : O. R. P. Bininda-Emonds

Download or read book Phylogenetic Supertrees written by O. R. P. Bininda-Emonds and published by Springer Science & Business Media. This book was released on 2004-08-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on "phylogenetic supertrees", a recent, but controversial development for inferring evolutionary trees. Rather than analyze the combined primary character data directly, supertree construction proceeds by combining the tree topologies derived from those data. This difference in strategy has allowed for the exciting possibility of larger, more complete phylogenies than are otherwise currently possible, with the potential to revolutionize evolutionarily-based research. This book provides a comprehensive look at supertrees, ranging from the methods used to build supertrees to the significance of supertrees to bioinformatic and biological research. Reviews of many the major supertree methods are provided and four new techniques, including a Bayesian implementation of supertrees, are described for the first time. The far-reaching impact of supertrees on biological research is highlighted both in general terms and through specific examples from diverse clades such as flowering plants, even-toed ungulates, and primates. The book also critically examines the many outstanding challenges and problem areas for this relatively new field, showing the way for supertree construction in the age of genomics. Interdisciplinary contributions from the majority of the leading authorities on supertree construction in all areas of the bioinformatic community (biology, computer sciences, and mathematics) will ensure that this book is a valuable reference with wide appeal to anyone interested in phylogenetic inference.

An Introduction to the Mathematics of Biology

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Publisher : Birkhauser
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to the Mathematics of Biology by : Edward K. Yeargers

Download or read book An Introduction to the Mathematics of Biology written by Edward K. Yeargers and published by Birkhauser. This book was released on 1996 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bioconsensus

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871034
Total Pages : 264 pages
Book Rating : 4.8/5 (71 download)

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Book Synopsis Bioconsensus by : Melvin F. Janowitz

Download or read book Bioconsensus written by Melvin F. Janowitz and published by American Mathematical Soc.. This book was released on with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on two DIMACS working group meetings on ''Bioconsensus''. It provides a valuable introduction and reference to the various aspects of this rapidly developing field. The meetings brought together mathematical and biological scientists to discuss the uses in the biological sciences of methods of consensus and social choice. These two lively meetings contributed much toward establishing the new field of ''bioconsensus''. Yet this book is much more than just a report of two meetings. It includes some historical background, as well as a substantial introduction to the axiomatic foundations of the field of bioconsensus and some practical applications of consensus methods to real data. Also included are contributed papers from experts who were not at the meetings. The book is intended for mathematical biologists, evolutionary biologists, and computer scientists.