The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosciences. The book also shows how mathematics can contribute to the science of the next 100 years and how physical scientists must get involved. It presents a broad view of the field of theoretical and mathematical biology and is a good starting place from which to start genuine interdisciplinary research.
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Editorial Reviews
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Reviews of the original edition: "Murray has produced a magnificent compilation of mathematical models and their applications in biology." Nature "Murray's Mathematical Biology belongs on the shelf of any person with a serious interest in mathematical biology." Bulletin of Mathematical Biology SIAM, 2004: "Murray's Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. ... I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics." From the reviews of the third edition: "Mathematical Biology would be eminently suitable as a text for a final year undergraduate or postgraduate course in mathematical biology … . It is also a good source of examples for courses in mathematical methods … . Mathematical Biology provides a good way in to the field and a useful reference for those of us already there. It may attract more mathematicians to work in biology by showing them that there is real work to be done." (Peter Saunders, The Mathematical Gazette, Vol. 90 (519), 2006)
--This text refers to the
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Most Helpful Customer Reviews
19 of 20 people found the following review helpful:
5.0 out of 5 stars
Excellent book on the subject,
By Dr. Lee D. Carlson (Baltimore, Maryland USA) - See all my reviews (VINE VOICE) (HALL OF FAME REVIEWER) (REAL NAME)
This review is from: Mathematical Biology (Biomathematics Series) (Paperback)
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.
5 of 5 people found the following review helpful:
5.0 out of 5 stars
An excellent reference in the field of the Mathematical Biology,
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This review is from: Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) (Hardcover)
This book is an excellent reference in the field. In fact, this book introduces almost sub-disciplinaries in the Mathematical Biology. Nevertheless, this book is not an introduction for beginners. Moveover, the mathematical analysis, the ordinary differential equation, the nonlinear nondynamics and chaos should be mastered before reading this excellent textbook.
4 of 5 people found the following review helpful:
5.0 out of 5 stars
An excellent biomathematics book with practical applications and exercises,
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This review is from: Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) (Hardcover)
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.
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First Sentence:
The increasing study of realistic and practically useful mathematical models in population biology, whether we are dealing with a human population with or without its age distribution, population of an endangered species, bacterial or viral growth and so on, is a reflection of their use in helping to understand the dynamic processes involved and in making practical predictions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
infected steady state, travelling wavefront solution, uninfluenced steady state, null clines, infected badgers, wavefront solutions, pteroptyx malaccae, disease transmission dynamics, resetting curves, limit cycle periodic solutions, phase locked solutions, positive steady state, epidemic ensues, phase resetting curve, dry levees, limit cycle solution, divorce prediction, mean worm burden, segmental oscillators, fictive swimming, constant phase lag, limit cycle behaviour, badger population, volatile couples, travelling wave solutions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Law of Mass Action, Scientific American, United Nations, Julian Cook, Hudson Bay Company, Insect Outbreak Model, South Africa, Weeks Figure New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
The increasing study of realistic and practically useful mathematical models in population biology, whether we are dealing with a human population with or without its age distribution, population of an endangered species, bacterial or viral growth and so on, is a reflection of their use in helping to understand the dynamic processes involved and in making practical predictions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
infected steady state, travelling wavefront solution, uninfluenced steady state, null clines, infected badgers, wavefront solutions, pteroptyx malaccae, disease transmission dynamics, resetting curves, limit cycle periodic solutions, phase locked solutions, positive steady state, epidemic ensues, phase resetting curve, dry levees, limit cycle solution, divorce prediction, mean worm burden, segmental oscillators, fictive swimming, constant phase lag, limit cycle behaviour, badger population, volatile couples, travelling wave solutions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Law of Mass Action, Scientific American, United Nations, Julian Cook, Hudson Bay Company, Insect Outbreak Model, South Africa, Weeks Figure New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 83
books:
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100
books
cite this book:
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- Pure Mathematics: Detailed Solutions to Advanced Level Questions by D. Murray on 4 pages
- Neural Control of Rhythmic Movements in Vertebrates (Wiley Series in Neurobiology) by Avis H. Cohen in Back Matter (1), Back Matter (2), and Back Matter (3)
- Asymptotic Analysis (Applied Mathematical Sciences) by J.D. Murray on page 400, page 421, and Back Matter
- Mathematical Models in Molecular Cellular Biology by Lee A. Segel in Back Matter (1), Back Matter (2), and Back Matter (3)
- Wildlife Management: Crocodiles and Alligators by Grahame J. W. Webb in Back Matter, and Index
See all 83 books this book cites
- Essential Mathematical Biology by Nicholas F. Britton on 4 pages
- Survey of Models for Tumor-Immune System Dynamics by John A. Adam on 4 pages
- Biomat 2005 by Rubem P Mondaini on page 70, page 230, and page 263
- Math & Bio 2010: Linking Undergraduate Disciplines by Lynn Arthur Steen on page 29, page 43, and Back Matter
- Molecular Driving Forces: Statistical Thermodynamics in Chemistry & Biology by Ken A. Dill on page 324, page 325, and page 339
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