Information Geometry and Population Genetics

Information Geometry and Population Genetics PDF Author: Julian Hofrichter
Publisher: Springer
ISBN: 3319520458
Category : Mathematics
Languages : en
Pages : 323

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Book Description
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.

E-Government ICT Professionalism and Competences Service Science

E-Government ICT Professionalism and Competences Service Science PDF Author: Antonino Mazzeo
Publisher: Springer
ISBN: 9780387097121
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
This book constitutes the refereed proceedings of Industry Oriented Conferences held at IFIP 20th World Computer Congress in September 2008. The IFIP series publishes state-of-the-art results in the sciences and technologies of information and communication. The scope of the series includes: foundations of computer science; software theory and practice; education; computer applications in technology; communication systems; systems modeling and optimization; information systems; computers and society; computer systems technology; security and protection in information processing systems; artificial intelligence; and human-computer interaction. Proceedings and post-proceedings of refereed international conferences in computer science and interdisciplinary fields are featured. These results often precede journal publication and represent the most current research. The principal aim of the IFIP series is to encourage education and the dissemination and exchange of information about all aspects of computing.

Cell Biology by the Numbers

Cell Biology by the Numbers PDF Author: Ron Milo
Publisher: Garland Science
ISBN: 1317230698
Category : Science
Languages : en
Pages : 399

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Book Description
A Top 25 CHOICE 2016 Title, and recipient of the CHOICE Outstanding Academic Title (OAT) Award. How much energy is released in ATP hydrolysis? How many mRNAs are in a cell? How genetically similar are two random people? What is faster, transcription or translation?Cell Biology by the Numbers explores these questions and dozens of others provid

Topology and Robotics

Topology and Robotics PDF Author: Michael Farber
Publisher: American Mathematical Soc.
ISBN: 0821842463
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Ever since the literary works of Capek and Asimov, mankind has been fascinated by the idea of robots. Modern research in robotics reveals that along with many other branches of mathematics, topology has a fundamental role to play in making these grand ideas a reality. This volume summarizes recent progress in the field of topological robotics--a new discipline at the crossroads of topology, engineering and computer science. Currently, topological robotics is developing in two main directions. On one hand, it studies pure topological problems inspired by robotics and engineering. On the other hand, it uses topological ideas, topological language, topological philosophy, and specially developed tools of algebraic topology to solve problems of engineering and computer science. Examples of research in both these directions are given by articles in this volume, which is designed to be a mixture of various interesting topics of pure mathematics and practical engineering.

Mathematics of Bioinformatics

Mathematics of Bioinformatics PDF Author: Matthew He
Publisher: John Wiley & Sons
ISBN: 1118099524
Category : Computers
Languages : en
Pages : 231

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Book Description
Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.

Imaging Genetics

Imaging Genetics PDF Author: Adrian Dalca
Publisher: Academic Press
ISBN: 9780128139684
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
Imaging Genetics presents the latest research in imaging genetics methodology for discovering new associations between imaging and genetic variables, providing an overview of the state-of the-art in the field. Edited and written by leading researchers, this book is a beneficial reference for students and researchers, both new and experienced, in this growing area. The field of imaging genetics studies the relationships between DNA variation and measurements derived from anatomical or functional imaging data, often in the context of a disorder. While traditional genetic analyses rely on classical phenotypes like clinical symptoms, imaging genetics can offer richer insights into underlying, complex biological mechanisms.

Topological Data Analysis for Genomics and Evolution

Topological Data Analysis for Genomics and Evolution PDF Author: Raúl Rabadán
Publisher: Cambridge University Press
ISBN: 1108753396
Category : Science
Languages : en
Pages : 521

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Book Description
Biology has entered the age of Big Data. The technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce questions to a comparison of algebraic invariants, such as numbers, which are typically easier to solve. Topological data analysis is a rapidly-developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology alongside mathematicians interested in applied topology.

The Geometry of Evolution

The Geometry of Evolution PDF Author: George R. McGhee
Publisher: Cambridge University Press
ISBN: 1139459953
Category : Science
Languages : en
Pages : 185

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Book Description
The metaphor of the adaptive landscape - that evolution via the process of natural selection can be visualized as a journey across adaptive hills and valleys, mountains and ravines - permeates both evolutionary biology and the philosophy of science. The focus of this 2006 book is to demonstrate to the reader that the adaptive landscape concept can be put into actual analytical practice through the usage of theoretical morphospaces - geometric spaces of both existent and non-existent biological form - and to demonstrate the power of the adaptive landscape concept in understanding the process of evolution. The adaptive landscape concept further allows us to take a spatial approach to the concepts of natural selection, evolutionary constraint and evolutionary development. For that reason, this book relies heavily on spatial graphics to convey the concepts developed within these pages, and less so on formal mathematics.

Genetics of Bone Biology and Skeletal Disease

Genetics of Bone Biology and Skeletal Disease PDF Author: Rajesh V. Thakker
Publisher: Academic Press
ISBN: 0128041986
Category : Science
Languages : en
Pages : 880

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Book Description
Genetics of Bone Biology and Skeletal Disease, Second Edition, is aimed at students of bone biology and genetics and includes general introductory chapters on bone biology and genetics. More specific disease orientated chapters comprehensively summarize the clinical, genetic, molecular, animal model, molecular pathology, diagnostic, counseling, and treatment aspects of each disorder. The book is organized into five sections that each emphasize a particular theme, general background to bone biology, general background to genetics and epigenetics, disorders of bone and joint, parathyroid and related disorders, and vitamin D and renal disorders. The first section is specifically devoted to providing an overview of bone biology and structure, joint and cartilage biology, principles of endocrine regulation of bone, and the role of neuronal regulation and energy homeostasis. The second section reviews the principles and progress of medical genetics and epigenetics related to bone disease, including genome-wide association studies (GWAS), genomic profiling, copy number variation, prospects of gene therapy, pharmacogenomics, genetic testing and counseling, as well as the generation and utilizing of mouse models. The third section details advances in the genetics and molecular biology of bone and joint diseases, both monogenic and polygenic, as well as skeletal dysplasias, and rarer bone disorders. The fourth section highlights the central role of the parathyroids in calcium and skeletal homeostasis by reviewing the molecular genetics of: hyperparathyroidism, hypoparathyrodism, endocrine neoplasias, and disorders of the PTH and calcium-sensing receptors. The fifth section details molecular and cellular advances across associated renal disorders such as vitamin D and rickets. - Identifies and analyzes the genetic basis of bone disorders in humans and demonstrates the utility of mouse models in furthering the knowledge of mechanisms and evaluation of treatments - Demonstrates how the interactions between bone and joint biology, physiology, and genetics have greatly enhanced the understanding of normal bone function as well as the molecular pathogenesis of metabolic bone disorders - Summarizes the clinical, genetic, molecular, animal model, molecular pathology, diagnostic, counseling, and treatment aspects of each disorder

The Geometry of Biological Time

The Geometry of Biological Time PDF Author: Arthur T. Winfree
Publisher: Springer Science & Business Media
ISBN: 3662224925
Category : Mathematics
Languages : en
Pages : 543

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Book Description
As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.