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Mathematical Concepts and Methods in Modern Biology

Mathematical Concepts and Methods in Modern Biology
  • Author : Raina S. Robeva,Terrell L. Hodge
  • Publisher :Unknown
  • Release Date :2013
  • Total pages :349
  • ISBN : 0124157807
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Summary : Arising from current scientific publications and on-going investigations by leading researchers this book is an essential resource for anyone needing to better understand the interdisciplinary relationship between mathematics and biology. The book is organized by research topic of interest and introduces mathematical models and methods specifically to that topic --

Algebraic and Discrete Mathematical Methods for Modern Biology

Algebraic and Discrete Mathematical Methods for Modern Biology
  • Author : Raina Robeva
  • Publisher :Unknown
  • Release Date :2015-03-01
  • Total pages :452
  • ISBN : 0128012137
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Summary : Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. Examines significant questions in modern biology and their mathematical treatments Presents important mathematical concepts and tools in the context of essential biology Features material of interest to students in both mathematics and biology Presents chapters in modular format so coverage need not follow the Table of Contents Introduces projects appropriate for undergraduate research Utilizes freely accessible software for visualization, simulation, and analysis in modern biology Requires no calculus as a prerequisite Provides a complete Solutions Manual Features a companion website with supplementary resources

Mathematical Concepts and Methods in Modern Biology

Mathematical Concepts and Methods in Modern Biology
  • Author : Raina Robeva,Terrell Hodge
  • Publisher :Unknown
  • Release Date :2013-02-26
  • Total pages :372
  • ISBN : 9780124157934
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Summary : Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. Features self-contained chapters with real biological research examples using freely available computational tools Spans several mathematical techniques at basic to advanced levels Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology

Algebraic and Discrete Mathematical Methods for Modern Biology

Algebraic and Discrete Mathematical Methods for Modern Biology
  • Author : Raina Robeva
  • Publisher :Unknown
  • Release Date :2015-05-09
  • Total pages :382
  • ISBN : 9780128012710
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Summary : Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. Examines significant questions in modern biology and their mathematical treatments Presents important mathematical concepts and tools in the context of essential biology Features material of interest to students in both mathematics and biology Presents chapters in modular format so coverage need not follow the Table of Contents Introduces projects appropriate for undergraduate research Utilizes freely accessible software for visualization, simulation, and analysis in modern biology Requires no calculus as a prerequisite Provides a complete Solutions Manual Features a companion website with supplementary resources

Laboratory Manual of Biomathematics

Laboratory Manual of Biomathematics
  • Author : Raina S. Robeva,James R. Kirkwood,Robin L. Davies
  • Publisher :Unknown
  • Release Date :2008
  • Total pages :178
  • ISBN : 9780123740229
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Summary : Laboratory Manual of Biomathematics is a companion to the textbook An Invitation to Biomathematics. This laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs. It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology . Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies. This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology. Can be used as a computer lab component of a course in biomathematics or as homework projects for independent student work Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology Mathematical topics include: Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms Includes more than 120 exercises derived from ongoing research studies

An Invitation to Biomathematics

An Invitation to Biomathematics
  • Author : Raina Robeva,James R. Kirkwood,Robin Lee Davies,Leon Farhy,Boris P. Kovatchev,Martin Straume,Michael L. Johnson
  • Publisher :Unknown
  • Release Date :2007-08-28
  • Total pages :480
  • ISBN : 0080550991
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Summary : Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement. The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290) * Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems * Includes well-known examples from across disciplines in the life sciences including modern biomedical research * Explains how to use data sets or dynamical processes to build mathematical models * Offers extensive illustrative materials * Written in clear and easy-to-follow language without assuming a background in math or biology * A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text

Algebraic and Combinatorial Computational Biology

Algebraic and Combinatorial Computational Biology
  • Author : Raina Robeva,Matthew Macauley
  • Publisher :Unknown
  • Release Date :2018-10-08
  • Total pages :434
  • ISBN : 9780128140697
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Summary : Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences. Integrates a comprehensive selection of tools from computational biology into educational or research programs Emphasizes practical problem-solving through multiple exercises, projects and spinoff computational simulations Contains scalable material for use in undergraduate and graduate-level classes and research projects Introduces the reader to freely-available professional software Supported by illustrative datasets and adaptable computer code

An Invitation to Biomathematics

An Invitation to Biomathematics
  • Author : Raina S. Robeva
  • Publisher :Unknown
  • Release Date :2008
  • Total pages :453
  • ISBN : 0120887711
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Summary : This textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. It is written by a team of experienced educators, and offers students a solid understanding of solving biological problems with mathematical applications. It succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement.

Soviet Education

Soviet Education
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1961
  • Total pages :229
  • ISBN : UOM:39015039498889
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Summary :

Haldane and Modern Biology

Haldane and Modern Biology
  • Author : John Burdon Sanderson Haldane,Krishna R. Dronamraju
  • Publisher :Unknown
  • Release Date :1968
  • Total pages :333
  • ISBN : UCAL:B5018761
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Summary :

Mathematics for the Life Sciences

Mathematics for the Life Sciences
  • Author : Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
  • Publisher :Unknown
  • Release Date :2014-08-17
  • Total pages :640
  • ISBN : 9781400852772
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Summary : An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available

Mathematical Techniques for Biology and Medicine

Mathematical Techniques for Biology and Medicine
  • Author : William Simon
  • Publisher :Unknown
  • Release Date :2015-05-05
  • Total pages :340
  • ISBN : 9780486780795
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Summary : Suitable for both graduate and undergraduate courses, this text recalls basic concepts of calculus and shows how problems can be formulated in terms of differential equations. Fully worked-out solutions to selected problems. Fourth edition.

Modern Statistics for Modern Biology

Modern Statistics for Modern Biology
  • Author : Susan Holmes,Wolfgang Huber
  • Publisher :Unknown
  • Release Date :2018-11-30
  • Total pages :400
  • ISBN : 9781108427029
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Summary : A far-reaching course in practical advanced statistics for biologists using R/Bioconductor, data exploration, and simulation.

American Journal of Physics

American Journal of Physics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1979
  • Total pages :229
  • ISBN : UOM:39015011979567
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Summary :

Mathematical Models in Biology

Mathematical Models in Biology
  • Author : Leah Edelstein-Keshet
  • Publisher :Unknown
  • Release Date :1988
  • Total pages :586
  • ISBN : 0898719143
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Summary : Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Introduction to Mathematical Biology

Introduction to Mathematical Biology
  • Author : S. I. Rubinow
  • Publisher :Unknown
  • Release Date :2002
  • Total pages :386
  • ISBN : 0486425320
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Summary : Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions, physiological tracers, biological fluid dynamics and diffusion. Topics essentially follow a course in elementary differential equations — some linear algebra and graph theory; requires only a knowledge of elementary calculus.

Unexplored Model Systems in Modern Biology

Unexplored Model Systems in Modern Biology
  • Author : Robert M. Friedenberg
  • Publisher :Unknown
  • Release Date :1968
  • Total pages :98
  • ISBN : MINN:31951D01781435I
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Summary :

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
  • Author : Sarah P. Otto,Troy Day
  • Publisher :Unknown
  • Release Date :2011-09-19
  • Total pages :744
  • ISBN : 9781400840915
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Summary : Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Bioanalytics

Bioanalytics
  • Author : Friedrich Lottspeich,Joachim W. Engels
  • Publisher :Unknown
  • Release Date :2018-03-08
  • Total pages :450
  • ISBN : 9783527694440
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Summary : Analytical methods are the essential enabling tools of the modern biosciences. This book presents a comprehensive introduction into these analytical methods, including their physical and chemical backgrounds, as well as a discussion of the strengths and weakness of each method. It covers all major techniques for the determination and experimental analysis of biological macromolecules, including proteins, carbohydrates, lipids and nucleic acids. The presentation includes frequent cross-references in order to highlight the many connections between different techniques. The book provides a bird's eye view of the entire subject and enables the reader to select the most appropriate method for any given bioanalytical challenge. This makes the book a handy resource for students and researchers in setting up and evaluating experimental research. The depth of the analysis and the comprehensive nature of the coverage mean that there is also a great deal of new material, even for experienced experimentalists. The following techniques are covered in detail: - Purification and determination of proteins - Measuring enzymatic activity - Microcalorimetry - Immunoassays, affinity chromatography and other immunological methods - Cross-linking, cleavage, and chemical modification of proteins - Light microscopy, electron microscopy and atomic force microscopy - Chromatographic and electrophoretic techniques - Protein sequence and composition analysis - Mass spectrometry methods - Measuring protein-protein interactions - Biosensors - NMR and EPR of biomolecules - Electron microscopy and X-ray structure analysis - Carbohydrate and lipid analysis - Analysis of posttranslational modifications - Isolation and determination of nucleic acids - DNA hybridization techniques - Polymerase chain reaction techniques - Protein sequence and composition analysis - DNA sequence and epigenetic modification analysis - Analysis of protein-nucleic acid interactions - Analysis of sequence data - Proteomics, metabolomics, peptidomics and toponomics - Chemical biology

The Mathematics and Biology of the Biodistribution of Radiopharmaceuticals - A Clinical Perspective

The Mathematics and Biology of the Biodistribution of Radiopharmaceuticals - A Clinical Perspective
  • Author : William C Klingensmith III
  • Publisher :Unknown
  • Release Date :2016-04-06
  • Total pages :274
  • ISBN : 9783319267043
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Summary : This book explores the mathematics and biology of the biodistribution of radiopharmaceuticals following their introduction into the body, but does so primarily from a clinical perspective – from the point of view of image interpretation and any associated image-derived quantification. All of the equations included in the book relate directly to the biodistribution of radiopharmaceuticals and are clinically useful, either conceptually or because of their value in quantifying a biological parameter, e.g., renal clearance. In particular, the more complex equations are not meant to be solved but instead are intended to provide a conceptual basis for the analysis of clinical images, especially those that are unusual and/or difficult to interpret. The efficacy of every diagnostic and therapeutic nuclear medicine procedure is critically dependent on the biodistribution of the radiopharmaceutical in question over time. This book will enable the reader to gain a sound understanding of the relevant mathematics and biology, and the clinical orientation ensures that it will be of value in enhancing clinical practice.

American Book Publishing Record Cumulative, 1950-1977: Title index

American Book Publishing Record Cumulative, 1950-1977: Title index
  • Author : R.R. Bowker Company. Department of Bibliography
  • Publisher :Unknown
  • Release Date :1978
  • Total pages :229
  • ISBN : UOM:49015003053999
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Summary :