Product 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 since its first publication in 1988, the book 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 Mathematical Models in Biology are still important and informative.

Shortly after the first publication of Mathematical Models in Biology, the genomics revolution turned Mathematical Biology into a prominent area of interdisciplinary research. In this new millennium, biologists have discovered that mathematics is not only useful, but indispensable! As a result, there has been much resurgent interest in, and a huge expansion of, the fields collectively called mathematical biology. This book serves as a basic introduction to concepts in deterministic biological modeling.

Mathematical Models in Biology does not assume too much background knowledgeessentially 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 a number of researchers in math (and some in biology) who wanted to learn about this field. ... Read more

Customer Reviews (7)

Terrible Publisher
While the book seems to be fairly well written, reading easily with examples worked out in full detail, there are an abundance of errors throughout the text.Rather than actually correcting these errors, the publisher instead decided to put an "Errata" section at the beginning of the book, leaving the mistakes strewn throughout the text.So, prior to reading a chapter, one must look up what errors there are and either make a mental note or correct it by hand.Since the errors are quite copious, 16 pages worth in all with an error every 5 pages, it becomes extremely distracting.

From the author's webpage, the following is a list of errata in this edition: [...].

Classic textbook, with some flaws
A classic textbook in mathematical biology, and still one of the best I know. It is a testament to the quality of this book that many other textbooks that have been published after it essentially follow the template of this book.

No other book does a better job at explaining clearly and concisely the biological background. The tone is precise and approachable without being aloof.

There are two flaws about this book: One is the mathematical exposition, which is sometimes simply wrong. (The whole section about the Hopf bifurcation is very poor, and I couldn't use this section in classes I taught. It has to be supplemented by other textbooks.) The other, related, flaw is the flood of typos. This is the text with the most typos I've ever seen. (The latest errata list has 16 pages, and there are still many unlisted typos.) And this is the second edition! Normally typos don't bother me too much, but there are so many here that it truly becomes a nuisance.

Overall, though, this is a good textbook. I wish the author would decide to update the text and clean up the typos and some of the math sections.

Excellent
The book is very easy to read and appropriate for undergraduate and postgraduate level, whether it be review or introduction to a particular topic.The biology and how it relates to the mathematics is clearly explained.Overall I would highly recommend this book to students entering the biomathematics arena or who simply have an interest in this area.

math models in biology
This is a nice introductory book on math biology models. It is easy to understand and a necessary reading for those who want to approach more difficult books such as Mathematical Physiology. The exercises presented are useful for active learning of this topic.
Be aware: this book requires prior knowledge of calculus (differential equations, partial derivatives, Taylor series expansion...).

An excellent book
This is one of the best books I have read in Math. biology. I strongly propose that a second updated paperback edition is done so that many students will benefit from it. ... Read more

Product Description
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field. ... Read more

Product Description
In the ten years since the first edition of this book appeared the field of mathematical biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modelling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modelling can address. Due to this tremendous development in recent years, for this new edition Murray is covering certain items in depth, giving new applications such as modelling marital interaction, growth of cancer tumours, temperature sex determination, wolf territoriality, wolf-deer survival etc. In other areas he discusses basic modelling concepts and provides further references as needed. He also provides even closer links between models and experimental data throughout the text. The book continues to present a broad view of the field of theoretical and mathematical biology and gives us an excellent background from which to begin geniune interdisciplinary research in the biomedical sciences. ... Read more

Customer Reviews (2)

Difficult but very good
I bought part I a few years ago. I am an economist interested in using examples from biology to explain and model commercial markets, more as a hobby than as a professional. I recently worked on Lotka-Volterra predator prey models and competitive models (a grey squirrel competing a brown squirrel out of business). I hope to find patterns in time series that are similar to patterns in economic time series. Book I covers this but most of the subject is in book II. With help of the Mathematica package I played with the examples in the book and it worked fine. It is a high level mathematical book and although the approach is pragmatic and well written, this book is primarily written for specialized mathematicians which I am not. However I like these two books very much just because of the mathematical depth. Normally the author decides how deep I will dig into matters, here I can decide myself.

New edition - old book split into two
Many reviews here are about the old edition of Mathematical Biology (the softcover one volume, 2nd ed). Recently J.D. Murray split the second edition in two hardcover volumes. Volume 1 discusses mainly models that use Ordinary Differential Equation, while slightly more complicated Math is required for Volume 2. These new books have added topics (modelling of marital interaction, temperature-dependent sex determination, wolf territoriality, etc). While sometimes the model is still very simple and in its inital stages (e.g. marital interaction model), the books show how much biology and applied mathematics intersect, and they make very interesting read.
There is a certain lack of analysis of the nonlinear cases, so for those who need examples of amplitude equations, differentways of perturbing a linear model, these books are not so good. These books might be too complicated for a bio person with not much mathematical background, but it is very accessible to those with some math background, and are certainly easy for Math or Physics people who want to know more applications to biology. ... Read more

Product Description
It has been over a decade since the release of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modeling can address. Due to the tremendous development in the field this book is being published in two volumes. This first volume is an introduction to the field, the mathematics mainly involves ordinary differential equations that are suitable for undergraduate and graduate courses at different levels. For this new edition Murray is covering certain items in depth, giving new applications such as modeling marital interactions and temperature dependence sex determination. ... Read more

Customer Reviews (7)

Murray prevew
Nice book, in great condition and it got in the right place at the right time.

An excellent biomathematics book with practical applications and exercises
This book is the first of two volumes by the author on the topic and is an important addition to a series of Interdisciplinary Applied Mathematics volumes by the publisher. A comprehensive and interesting overview of mathematical approaches in modelling bioscience and biomedical phenomena. Topics including; kinetics, diffusion, nonlinear dynamics, feedback and control theory are covered. The material is significant and relevant to interdisciplinary physical scientists, engineers or mathematicians who are involved in the biomedical sciences. Each chapter reviews practical modelling strategies and includes exercises.

Mathematical Biology I
This product was in fabulous condition and was shipped quickly--I recommend the company to all.

Excellent book on the subject
A few decades ago mathematical biology consisted mostly of evolutionary and predator-prey models. This has changed dramatically in recent years with the advent of computational biology and gene sequencing projects. The applications of mathematics to biology are now exploding and this book is an excellent example of that. The book could best be described as the application of nonlinear dynamical systems and reaction-diffusion partial differential equations to biology structures and processes. Readers with background in these areas of mathematics will find their ideas applied beautifully in this book. The best sections of the book for me were the discussions of synchronized insect emergence, models of testosterone secretion control, insect dispersal models, calcium waves on amphibian eggs, mammalian coat patterns, models of hallucination patterns in the brain, and modeling the transmission dynamics of HIV. Numerous exercises end each chapter, and the mathematical algorithms can easily be coded in Mathematica or some other high level language. This is a fine addition to the literature on mathematical biology and for the price it is a real bargain.

Very interesting, worth your money
I thoroughly enjoyed this book.Although a tough read, it is well worth your time and effort.The sections on spots and stripe formation are excellent and quite interesting.An excellent book! ... Read more

Product Description
The field of mathematical biology is growing rapidly. Questions about infectious diseases, heart attacks, cell signaling, cell movement, ecology, environmental changes, and genomics are now being analyzed using mathematical and computational methods. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods teaches all aspects of modern mathematical modeling and is specifically designed to introduce undergraduate students to problem solving in the context of biology.

Divided into three parts, the book covers basic analytical modeling techniques and model validation methods; introduces computational tools used in the modeling of biological problems; and provides a source of open-ended problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, and there are many exercises related to biological questions. In addition, the book includes 25 open-ended research projects that can be used by students. The book is accompanied by a Web site that contains solutions to most of the exercises 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®.

Audience
Intended for upper level undergraduate students in mathematics or similar quantitative sciences, A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods is also appropriate for beginning graduate students in biology, medicine, ecology, and other sciences.It will also be of interest to researchers entering the field of mathematical biology. ... Read more

Product Description
Guiding readers from the elucidation and analysis of a genomic sequence to the prediction of a protein structure and the identification of the molecular function, Introduction to Bioinformatics describes the rationale and limitations of the bioinformatics methods and tools that can help solve biological problems. Requiring only a limited mathematical and statistical background, the book shows how to efficiently apply these approaches to biological data and evaluate the resulting information.

The author, an expert bioinformatics researcher, first addresses the ways of storing and retrieving the enormous amount of biological data produced every day and the methods of decrypting the information encoded by a genome. She then covers the tools that can detect and exploit the evolutionary and functional relationships among biological elements. Subsequent chapters illustrate how to predict the three-dimensional structure of a protein. The book concludes with a discussion of the future of bioinformatics.

Even though the future will undoubtedly offer new tools for tackling problems, most of the fundamental aspects of bioinformatics will not change. This resource provides the essential information to understand bioinformatics methods, ultimately facilitating in the solution of biological problems. ... Read more

Product Description
This volume is designed to cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods related to biology. This text explores five areas of mathematical biology, presented in a unified fashion: the first three subjects, cell growth, enzymatic reactions, and physiological tracers, are biological; the final two, biological fluid dynamics and diffusion, are biophysical. Introduced in an order of progressive mathematical complexity, the topics essentially follow a course in elementary differential equations, although linear algebra and graph theory are also touched upon. Free of mathematical jargon, the text requires only a knowledge of elementary calculus. A set of problems appears at the end of each chapter, with solutions at the end of the book. Unabridged republication of the edition published by John Wiley & Sons, New York, 1975. Preface. Solutions. References. Appendixes. Author Index. Subject Index.
... Read more

Customer Reviews (1)

A bit outdated (in some way) but still one of the best
This book was written in the 1970s. Applications of mathematics in biology are wider now. So it is not surprising that this book is in some way a bit outdated. There are other mathematical biology books that cover more contemporary topics.However, as far as fundamentals of mathematical biology in areas such as diffusion processes and fluid flows are concerned, I still regard this book as one of the best in the field. In my opinion, it is definitely better than some of the more recently written texts (e.g. "An Introduction to Mathematical Physiology and Biology" by J Mazumdar). ... Read more

Product Description

Customer Reviews (4)

Very satisfied
The book is in good shape and it came on time. No pages ripped, no highlights, very nice.

Great book for ecologists
This book is excellent at describing the utility of models for ecologists.It describes the theory and application.Unlike many others, it also describes the limitations.It is written in such as way that it is useful for novices to experienced statisticians.

Perfect for learning statistical modeling
Although I found most of the chapters were not relevant to what I am doing, chapters 1;2;8;9 were right on the money. Really helped me in my PhD research.

An excellent recent overview ofmodeling
This is an excellent book for students or faculty interested in learning more about the current state of the art in modeling of biological systems. The authors make a great effort to keep the mathematical sophistication at a level that students (or faculty) who primarily have a biological background will still be able to follow in some detail. They are also able to suggest some of the exciting current areas of research and new areas for the future. All in all, well worth reading if you are interested in the topic of modeling of biological systems. ... Read more

Product Description
Useful at both the graduate and undergraduate level, this volume recalls basic concepts of calculus and shows how physiological problems can be formulated in terms of differential equations. Techniques for solving differential equations are applied to often-encountered problems. 74 line illustrations. Prefaces. Bibliography.
... Read more

Customer Reviews (1)

Its more or less fine mathimatics book for BME students
Its book is interested me as a BME teacher; I found its useful but some time very easy and containing some very DUMMY things such as quadratic equation solution; its best for the firest year BME students with medicalbackground; ... Read more

Product Description

The unprecedented amount of data produced with high-throughput experimentation forces biologists to employ mathematical representation and computation methods to glean meaningful information in systems-level biology. Applying this approach to the underlying molecular mechanisms of tumorigenesis, cancer researchers can uncover a series of new discoveries and biological insights.

The First Cancer Systems Biology Book Designed for Computational and Experimental Biologists
Unusual in its dualistic approach, Cancer Systems Biology discusses the recent progress in the understanding of cancer systems biology at a time when more and more researchers and pharmaceutical companies are looking into a systems biology approach to find drugs that can effectively be used to treat cancer patients.

Product Description

Deepen students’ understanding of biological phenomena

Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.

New to the Second Edition

• A section on spiral waves
• Recent developments in tumor biology
• More on the numerical solution of differential equations and numerical bifurcation analysis
• MATLAB^® files available for download online
• Many additional examples and exercises

This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincaré phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator–prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases.

Product Description

Thoroughly Describes Biological Applications, Computational Problems, and Various Algorithmic Solutions

Developed from the author’s own teaching material, Algorithms in Bioinformatics: A Practical Introduction provides an in-depth introduction to the algorithmic techniques applied in bioinformatics. For each topic, the author clearly details the biological motivation and precisely defines the corresponding computational problems. He also includes detailed examples to illustrate each algorithm and end-of-chapter exercises for students to familiarize themselves with the topics. Supplementary material is available at http://www.comp.nus.edu.sg/~ksung/algo_in_bioinfo/

This classroom-tested textbook begins with basic molecular biology concepts. It then describes ways to measure sequence similarity, presents simple applications of the suffix tree, and discusses the problem of searching sequence databases. After introducing methods for aligning multiple biological sequences and genomes, the text explores applications of the phylogenetic tree, methods for comparing phylogenetic trees, the problem of genome rearrangement, and the problem of motif finding. It also covers methods for predicting the secondary structure of RNA and for reconstructing the peptide sequence using mass spectrometry. The final chapter examines the computational problem related to population genetics.

Product Description

The Beauty of Protein Structures and the Mathematics behind Structural Bioinformatics
Providing the framework for a one-semester undergraduate course, Structural Bioinformatics: An Algorithmic Approach shows how to apply key algorithms to solve problems related to macromolecular structure.

Helps Students Go Further in Their Study of Structural Biology
Following some introductory material in the first few chapters, the text solves the longest common subsequence problem using dynamic programming and explains the science models for the Nussinov and MFOLD algorithms. It then reviews sequence alignment, along with the basic mathematical calculations needed for measuring the geometric properties of macromolecules. After looking at how coordinate transformations facilitate the translation and rotation of molecules in a 3D space, the author introduces structural comparison techniques, superposition algorithms, and algorithms that compare relationships within a protein. The final chapter explores how regression and classification are becoming more useful in protein analysis and drug design.

At the Crossroads of Biology, Mathematics, and Computer Science
Connecting biology, mathematics, and computer science, this practical text presents various bioinformatics topics and problems within a scientific methodology that emphasizes nature (the source of empirical observations), science (the mathematical modeling of the natural process), and computation (the science of calculating predictions and mathematical objects based on mathematical models).

Customer Reviews (2)

For whom is this intended?
This book does a good job of explaining the common algorithms used in Structural bioinformatics. The reason why I am not giving it more than 3 stars is because this kind of information isn't very useful to many people. Most of these algorithms have been realized by various programmers, and it is all available in many servers. There are several internet sites and freely downloadble programs where you can upload/input PDB files and do various things like calculate Ramachandran plots, align structures, calculate RMSDs between various structures, do structural classifications, look for novel folds, calculate surface areas, determine the interactions between proteins in complexes and several other things structural bioinformaticians normally do. This book is useful for people who want to develop programs which can do all the aforementioned. But why would anyone, other than pastime codewriters, want to do something that has already been done several times before?

good start for students
I find the book by Forbes J.Burkowski to be a good text for students with some programming skills. Instead of focusing on the vast array of bioinformatics tools available in this field, the author chooses to show the details of a few fundamental algorithms that are behind many of those tools. I think this is an efficient way of teaching serious, critical users and also future developers. However, the book is not as comprehensive as I expected as it misses important bits such as side-chain design or fold recognition algorithms. Nevertheless, reading this book will help you grasp these absent subjects more easily, and I guess that might have been the author's intention. ... Read more

Product Description
In this first-ever survey of the partnership between mathematics and biology, leading experts look at how mathematical research and methods have made possible important discoveries in biology. Explores how differential geometry, topology, and differential mechanics have allowed researchers to "wind" and "unwind" DNA's double helix to understand the phenomenon of supercoiling. Explains how mathematical tools are revealing the workings of enzymes and proteins. Describes how mathematicians are detecting echoes from the origin of life by applying the stochastic and statictical theory to the study of DNA sequences. ... Read more

Product Description
Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers.Necessary notions from linear algebra and partial differential equationsare introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods. ... Read more

Product Description
Essential Mathematical Biology is a self-contained introduction to the fast-growing field of mathematical biology, written for students with a mathematical background. It sets the subject in its historical context, but guides the reader towards questions of current research interest.A broad range of topics is covered, including:• Population dynamics• Infectious diseases• Population genetics and evolution• Dispersal• Molecular and cellular biology• Pattern formation cancer modelingParticular attention is paid to situations where the simple assumptions of homogeneity made in early models break down, and the process of mathematical modeling is seen in action. Britton delivers a comprehensive overview of this exciting field of modern applied mathematics, and provides a solid foundation for interdisciplinary research in the biological sciences. ... Read more

Customer Reviews (3)

An excellent book for undergrads majoring both math and biology
This book introduces a variety of essential concepts and fundamental knowledge in the mathematical biology, such as SIR model, prey-predator model and Turing Instability. Thus, some students who are focusing on mathematics, ecology and even biochemistry, tend to find sparks in this book. On the other hand, the basic mathematical techniques provided in the appendixes may daunt readers with less fluent ability of mathemathics, especially in the differential equation.

Good
The book came in very good shape. But it is not as useful as I thought.

The passion for the description needs
In a world in which the precision of the knowledge is fundamental the alive beings' description and their relationships raisin the necessary being mathematically.
However a lack of titles that you/they can take this Mathematics to the professionals of the biological field exists.
The title of this book summarizes in exemplary way that he intends and it gets.
Fundamental reading for all those that they are impassioned by the life, but they don't lose common sense in you understand her. ... Read more

Product Description

Ubiquitous and fundamental in cell mechanics, multiscale problems can arise in the growth of tumors, embryogenesis, tissue engineering, and more. Cell Mechanics: From Single Scale-Based Models to Multiscale Modeling brings together new insight and research on mechanical, mathematical, physical, and biological approaches for simulating the behavior of cells, specifically tumor cells.

In the first part of the text, the book discusses the powerful tool of microrheology for investigating cell mechanical properties, multiphysics and multiscale approaches for studying intracellular mechanisms in cell motility, and the role of subcellular effects involving certain genes for inducing cell motility in cancer. Focusing on models based on physical, mathematical, and computational approaches, the second section develops tools for describing the complex interplay of cell adhesion molecules and the dynamic evolution of the cell cytoskeleton. The third part explores cell interactions with the environment, particularly the role of external mechanical forces and their effects on cell behavior. The final part presents innovative models of multicellular systems for developmental biology, cancer, and embryogenesis.

This book collects novel methods to apply to cells and tissues through a multiscale approach. It presents numerous existing tools while stimulating the discovery of new approaches that can lead to more effective and accurate predictions of pathologies.

Product Description
Rapid developments in experimental techniques continue to push back the limits in the resolution, size, and complexity of the chemical and biological systems that can be investigated. This challenges the theoretical community to develop innovative methods for better interpreting experimental results. Normal Mode Analysis (NMA) is one such technique. Capable of providing unique insights into the structural and dynamical properties of complex systems, it is now finding a wide range of applications in chemical and biological problems.

From the fundamental physical ideas to cutting-edge applications and beyond, this book presents a broad overview of normal mode analysis and its value in state-of-the-art research. The first section introduces NMA, examines NMA algorithm development at different resolutions, and explores the application of those techniques in the study of biological systems. Later chapters cover method developments based on or inspired by NMA but going beyond the harmonic approximation inherent in standard NMA techniques.

Normal mode analysis complements traditional approaches with computational efficiency and applicability to large systems that are beyond the reach of older methods. This book offers a unique opportunity to learn from the experiences of an international, interdisciplinary panel of top researchers andexplore the latest developments and applications of NMA to biophysical and chemical problems. ... Read more

Product Description
Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer research with MATLAB is incorporated throughout in exercises and more extensive projects to provide readers with actual experience with the mathematical models. ... Read more