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Mathematical Models For Society And Biology

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Mathematical Models for Society and Biology

Mathematical Models for Society and Biology Book
Author : Edward Beltrami
Publisher : Academic Press
Release : 2013-06-19
ISBN : 0124046932
Language : En, Es, Fr & De

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Book Description :

Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. Offers 40% more content – 5 new chapters in addition to revisions to existing chapters Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book

Mathematical Models in Biology

Mathematical Models in Biology Book
Author : Leah Edelstein-Keshet
Publisher : SIAM
Release : 1988
ISBN : 9780898719147
Language : En, Es, Fr & De

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Book Description :

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.

Instructor s Manual to Accompany Mathematical Models for Society and Biology

Instructor s Manual to Accompany Mathematical Models for Society and Biology Book
Author : Beltrami
Publisher : Academic Press
Release : 2002-01-26
ISBN : 9780120855629
Language : En, Es, Fr & De

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Book Description :

Download Instructor s Manual to Accompany Mathematical Models for Society and Biology book written by Beltrami, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematical Modeling of Biological Systems Volume II

Mathematical Modeling of Biological Systems  Volume II Book
Author : Andreas Deutsch,Rafael Bravo de la Parra,Rob J. de Boer,Odo Diekmann,Peter Jagers,Eva Kisdi,Mirjam Kretzschmar,Petr Lansky,Hans Metz
Publisher : Springer Science & Business Media
Release : 2007-11-07
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential to solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modelling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computations and visualization, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact undisputable. Insights and predictions from mathematical modelling are used increasingly in de- sion support in medicine (e.g., immunology and spread of infectious diseases, cancer research, cardiovascular research, neurological research, optimization of medical tre- ments, imaging), environmentalandnaturemanagement, climateproblems, agriculture and management of natural resources. Fast developments in areas such as biotechn- ogy (e.g., genome projects, genetic modi?cation, tissue engineering) continue to add new focal points of activity to the ?eld. The contributions of this volume capture some of these developme

A Course in Mathematical Biology

A Course in Mathematical Biology Book
Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes Mller,Birgitt SchÓnfisch
Publisher : SIAM
Release : 2006-07-01
ISBN : 0898716128
Language : En, Es, Fr & De

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Book Description :

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Mathematical Models in Developmental Biology

Mathematical Models in Developmental Biology Book
Author : Jerome K. Percus,Stephen Childress
Publisher : American Mathematical Soc.
Release : 2015-06-19
ISBN : 147041080X
Language : En, Es, Fr & De

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Book Description :

The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

A Primer in Mathematical Models in Biology

A Primer in Mathematical Models in Biology Book
Author : Lee A. Segel,Leah Edelstein-Keshet
Publisher : SIAM
Release : 2013-05-09
ISBN : 1611972493
Language : En, Es, Fr & De

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Book Description :

A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.

An Invitation to Biomathematics

An Invitation to Biomathematics Book
Author : Raina Robeva,James R. Kirkwood,Robin Lee Davies,Leon Farhy,Boris P. Kovatchev,Martin Straume,Michael L. Johnson
Publisher : Academic Press
Release : 2007-08-28
ISBN : 9780080550992
Language : En, Es, Fr & De

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Book Description :

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

MATHEMATICAL MODELS Volume III

MATHEMATICAL MODELS     Volume III Book
Author : Jerzy A. Filar,Jacek B Krawczyk
Publisher : EOLSS Publications
Release : 2009-09-19
ISBN : 1848262442
Language : En, Es, Fr & De

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Book Description :

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

An Introduction to Mathematical Modeling in Physiology Cell Biology and Immunology

An Introduction to Mathematical Modeling in Physiology  Cell Biology  and Immunology Book
Author : James Sneyd
Publisher : American Mathematical Soc.
Release : 2002
ISBN : 0821828169
Language : En, Es, Fr & De

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Book Description :

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done, what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

MATHEMATICAL MODELS Volume I

MATHEMATICAL MODELS     Volume I Book
Author : Jerzy A. Filar,Jacek B Krawczyk
Publisher : EOLSS Publications
Release : 2009-09-19
ISBN : 1848262426
Language : En, Es, Fr & De

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Book Description :

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

MATHEMATICAL MODELS Volume II

MATHEMATICAL MODELS     Volume II Book
Author : Jerzy A. Filar,Jacek B Krawczyk
Publisher : EOLSS Publications
Release : 2009-09-19
ISBN : 1848262434
Language : En, Es, Fr & De

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Book Description :

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance

Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance Book
Author : Carlos A. Braumann
Publisher : Wiley
Release : 2019-04-29
ISBN : 1119166063
Language : En, Es, Fr & De

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Book Description :

A comprehensive introduction to the core issues of stochastic differential equations and their effective application Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance offers a comprehensive examination to the most important issues of stochastic differential equations and their applications. The author — a noted expert in the field — includes myriad illustrative examples in modelling dynamical phenomena subject to randomness, mainly in biology, bioeconomics and finance, that clearly demonstrate the usefulness of stochastic differential equations in these and many other areas of science and technology. The text also features real-life situations with experimental data, thus covering topics such as Monte Carlo simulation and statistical issues of estimation, model choice and prediction. The book includes the basic theory of option pricing and its effective application using real-life. The important issue of which stochastic calculus, Itô or Stratonovich, should be used in applications is dealt with and the associated controversy resolved. Written to be accessible for both mathematically advanced readers and those with a basic understanding, the text offers a wealth of exercises and examples of application. This important volume: Contains a complete introduction to the basic issues of stochastic differential equations and their effective application Includes many examples in modelling, mainly from the biology and finance fields Shows how to: Translate the physical dynamical phenomenon to mathematical models and back, apply with real data, use the models to study different scenarios and understand the effect of human interventions Conveys the intuition behind the theoretical concepts Presents exercises that are designed to enhance understanding Offers a supporting website that features solutions to exercises and R code for algorithm implementation Written for use by graduate students, from the areas of application or from mathematics and statistics, as well as academics and professionals wishing to study or to apply these models, Introduction to Stochastic Differential Equations with Applications to Modelling in Biology and Finance is the authoritative guide to understanding the issues of stochastic differential equations and their application.

Mathematical Models in Biological Discovery

Mathematical Models in Biological Discovery Book
Author : D L Solomon,C F Walter
Publisher : Unknown
Release : 1977-03-01
ISBN : 9783642930584
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Models in Biological Discovery book written by D L Solomon,C F Walter, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Competition Models in Population Biology

Competition Models in Population Biology Book
Author : Paul Waltman
Publisher : SIAM
Release : 1983
ISBN : 9781611970258
Language : En, Es, Fr & De

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Book Description :

This book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations.

Mathematical Models in Biological Discovery

Mathematical Models in Biological Discovery Book
Author : D.L. Solomon,C.F. Walter
Publisher : Springer
Release : 1977-03-01
ISBN : 9783540081340
Language : En, Es, Fr & De

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Book Description :

When I was asked to help organize an American Association for the Advancement of Science symposium about how mathematical models have con tributed to biology, I agreed immediately. The subject is of immense importance and wide-spread interest. However, too often it is discussed in biologically sterile environments by "mutual admiration society" groups of "theoreticians", many of whom have never seen, and most of whom have never done, an original scientific experiment with the biolog ical materials they attempt to describe in abstract (and often prejudiced) terms. The opportunity to address the topic during an annual meeting of the AAAS was irresistable. In order to try to maintain the integrity ;,f the original intent of the symposium, it was entitled, "Contributions of Mathematical Models to Biological Discovery". This symposium was organized by Daniel Solomon and myself, held during the 141st annual meeting of the AAAS in New York during January, 1975, sponsored by sections G and N (Biological and Medical Sciences) of the AAAS and the North American Regions of the Biometric Society, and supported by grant BMS 75-0280) from the National Science Foundation. What follows in this volume are papers by nine of the participants who not only felt that they had something to say in a symposium entitled, "Contributions of Mathematical Models to Biological Discovery", but who falso were willing to record their ideas in more detail here.

Bioterrorism

Bioterrorism Book
Author : H. T. Banks,C. Castillo-Chavez
Publisher : SIAM
Release : 2003-01-01
ISBN : 0898715490
Language : En, Es, Fr & De

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Book Description :

Collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror.

Mathematical Physiology

Mathematical Physiology Book
Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Release : 2010-06-04
ISBN : 038775847X
Language : En, Es, Fr & De

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Book Description :

Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

An Introduction to Mathematical Modeling in Physiology Cell Biology and Immunology

An Introduction to Mathematical Modeling in Physiology  Cell Biology  and Immunology Book
Author : James Sneyd,American Mathematical Society
Publisher : American Mathematical Soc.
Release : 2021-09-26
ISBN : 9780821867648
Language : En, Es, Fr & De

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Book Description :

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done,what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

A Course in Mathematical Biology

A Course in Mathematical Biology Book
Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes Mller,Birgitt SchÓnfisch
Publisher : SIAM
Release : 2006-07-01
ISBN : 0898718252
Language : En, Es, Fr & De

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Book Description :

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.