An Introduction To The Mathematics Of Biology With Computer Algebra Models

Author : Edward K. Yeargers,James V. Herod,Ronald W. Shonkweiler
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 54,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781475710953

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An Introduction to the Mathematics of Biology: with Computer Algebra Models by Edward K. Yeargers,James V. Herod,Ronald W. Shonkweiler Pdf

Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. Fortunately there are plenty of interesting (and fun) problems in biology, and virtually all scientific disciplines have become the richer for it. For example, two major journals, Mathematical Biosciences and Journal of Mathematical Biology, have tripled in size since their inceptions 20-25 years ago. The various sciences have a great deal to give to one another, but there are still too many fences separating them. In writing this book we have adopted the philosophy that mathematical biology is not merely the intrusion of one science into another, but has a unity of its own, in which both the biology and the math ematics should be equal and complete, and should flow smoothly into and out of one another. We have taught mathematical biology with this philosophy in mind and have seen profound changes in the outlooks of our science and engineering students: The attitude of "Oh no, another pendulum on a spring problem!," or "Yet one more LCD circuit!" completely disappeared in the face of applications of mathematics in biology. There is a timeliness in calculating a protocol for ad ministering a drug.

Author : Edward K. Yeargers,James V. Herod,Ronald W. Shonkweiler
Publisher : Unknown
Page : 428 pages
File Size : 49,6 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 1475710968

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An Introduction to the Mathematics of Biology by Edward K. Yeargers,James V. Herod,Ronald W. Shonkweiler Pdf

Author : Ching Shan Chou,Avner Friedman
Publisher : Springer
Page : 172 pages
File Size : 50,9 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9783319296388

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Introduction to Mathematical Biology by Ching Shan Chou,Avner Friedman Pdf

This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

Author : Ronald W. Shonkwiler,James Herod
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 46,7 Mb
Release : 2009-08-04
Category : Science
ISBN : 9780387709840

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Mathematical Biology by Ronald W. Shonkwiler,James Herod Pdf

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

Author : Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton
Publisher : Springer Nature
Page : 479 pages
File Size : 48,7 Mb
Release : 2020-02-17
Category : Mathematics
ISBN : 9783030336455

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An Introduction to Undergraduate Research in Computational and Mathematical Biology by Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton Pdf

Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Author : Elizabeth Spencer Allman,John A. Rhodes
Publisher : Cambridge University Press
Page : 388 pages
File Size : 40,9 Mb
Release : 2004
Category : Mathematics
ISBN : 0521525861

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Mathematical Models in Biology by Elizabeth Spencer Allman,John A. Rhodes Pdf

This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.

Author : Linda J. S. Allen
Publisher : Pearson
Page : 0 pages
File Size : 43,6 Mb
Release : 2007
Category : Biology
ISBN : 0130352160

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An Introduction to Mathematical Biology by Linda J. S. Allen Pdf

For advanced undergraduate and beginning graduate courses on Modeling offered in departments of Mathematics. This text introduces a variety of mathematical models for biological systems, and presents the mathematical theory and techniques useful in analyzing those models. Material is organized according to the mathematical theory rather than the biological application. Undergraduate courses in calculus, linear algebra, and differential equations are assumed.

Author : J. David Logan,William Wolesensky
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 52,9 Mb
Release : 2009-08-17
Category : Science
ISBN : 9780470525876

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Mathematical Methods in Biology by J. David Logan,William Wolesensky Pdf

A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Author : Richard H. Enns,George C. McGuire
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 55,9 Mb
Release : 2007-02-26
Category : Mathematics
ISBN : 9780387312620

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Computer Algebra Recipes by Richard H. Enns,George C. McGuire Pdf

* Contains computer algebra worksheets or "recipes" designed using MAPLE (System 10); no prior knowledge of MAPLE is assumed * Effective computational science text for first- and second-year undergraduates in mathematics, physics, engineering, chemistry, economics, biology, and pre-medicine * Examples and problems provide basis for both self-study and on-line course

Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
Publisher : SIAM
Page : 307 pages
File Size : 41,9 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898716122

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A Course in Mathematical Biology by Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch Pdf

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?.

Author : Leah Edelstein-Keshet
Publisher : SIAM
Page : 629 pages
File Size : 44,5 Mb
Release : 1988-01-01
Category : Mathematics
ISBN : 0898719143

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Mathematical Models in Biology by Leah Edelstein-Keshet Pdf

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.

Author : Avner Friedman
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 54,5 Mb
Release : 2018-06-14
Category : Biology
ISBN : 9781470447151

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Mathematical Biology: Modeling and Analysis by Avner Friedman Pdf

The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods and simulations. The models studied are concerned with population dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.

Author : Ronald W. Shonkwiler
Publisher : Unknown
Page : 551 pages
File Size : 55,5 Mb
Release : 2007
Category : Biomathematics
ISBN : OCLC:646816773

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Mathematical Biology by Ronald W. Shonkwiler Pdf

Author : Glenn Ledder,Jenna P. Carpenter,Timothy D. Comar
Publisher : MAA
Page : 228 pages
File Size : 44,9 Mb
Release : 2013
Category : Education
ISBN : 9780883851913

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Undergraduate Mathematics for the Life Sciences by Glenn Ledder,Jenna P. Carpenter,Timothy D. Comar Pdf

There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.

Author : Ronald W. Shonkwiler,James Herod
Publisher : Springer
Page : 551 pages
File Size : 43,5 Mb
Release : 2011-10-20
Category : Science
ISBN : 0387565396

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Mathematical Biology by Ronald W. Shonkwiler,James Herod Pdf

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.