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21. Computational Cell Biology | |
Hardcover: 488
Pages
(2002-07-09)
list price: US$79.95 -- used & new: US$53.08 (price subject to change: see help) Asin: 0387953698 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Carefully selected examples are used to motivate the concepts and techniques of computational cell biology, through a progression of increasingly more complex and demanding cases. Illustrative exercises are included with every chapter, and mathematical and computational appendices are provided for reference. This textbook will be useful for advanced undergraduate and graduate theoretical biologists, and for mathematics students and life scientists who wish to learn about modeling in cell biology. Royalties from this book will be donated to the Joel E. Keizer memorial endowment for collaborative interdisciplinary research in the life sciences. Customer Reviews (1)
An excellent overview Nanotechnology could be described as an up-and-coming field, but in the natural world one can find examples of this technology that surpass greatly what has been accomplished by human engineers. The authors begin their articles with a few examples of natural molecular machines, including the "rotary motors" DNA helicase and bacteriophage, and the "linear motor" kinesin, the latter they refer to as a "walking enzyme". Important in the modeling of all these is the theory of stochastic processes in the guise of Brownian motion, which the authors hold is the key to understanding the mechanics of proteins. In chapter 12 they give a detailed overview of the mathematical modeling of protein dynamics, followed in chapter 13 by an illustration of the mathematical formalism in the bacterial flagellar motor, a polymerization ratchet, and a motor governing ATP synthase. To the authors a molecular motor is an entity that converts chemical energy into mechanical force. The production of mechanical force though may involve intermediate steps of energy transduction, all these involving the release of free energy during binding events. But due to their size, molecular motors are subjected to thermal fluctuations, and thus to model their motion accurately requires the theory of stochastic processes. Thus the authors begin a study of stochastic processes, restricting their attention to ones that satisfy the Markov property. Starting with a discrete model of protein motion as a simple random walk, the authors show that the variance of the motion grows linearly with time, which is a sign of diffusive motion. The partial differential equation satisfied by the probability distribution function, in the continuous limit where the space and time scales are large enough, is left to the reader to derive as an exercise. The authors then consider polymer growth as another example of a stochastic process, a kind of hybrid one in that it involves both discrete and continuous random variables, the position of the polymer being continuous, while the number of monomers in the polymer is discrete. The authors derive an ordinary differential equation for the probability of there being exactly n polymers at a particular time. From this they show how to obtain sample paths for polymer growth and give a brief discussion on the statistics of polymer growth. Attention is then turned to the modeling of molecular motions, with the first example being the Brownian motion of proteins in aqueous solutions. The (stochastic) Langevin equation is given for the motion of the protein, both with and without an external force acting on the protein. To find a numerical solution of this equation is straightforward, as the authors show. But they caution however that simulation of this solution on a computer is liable to introduce spurious results, and so they derive the Smoluchowski model, a somewhat different way of looking at random motion via the evolution of ensembles of paths. In this formulation the Brownian force is replaced by a diffusion term, and the external force is modeled by a drift term. The authors then consider the modeling of chemical reactions, which supply the energy to the molecular motors. Because of the time scales involved in these reactions, a correct treatment of them would involve quantum mechanics, but the authors use the Smoluchowski model. The simple reaction model they consider involves a positive ion binding to negatively charged amino acid, and using as reaction coordinate the distance between the ion and the amino acid, study the free energy change as a function of the reaction coordinate. The numerical simulation of the protein motion is then considered in much greater detail, using an algorithm that preserves detailed balance. This involves converting the problem to a Markov chain and a consideration of the boundary conditions, which the authors do for the case of periodic, reflecting, and absorbing. Euler's method is used to solve the resulting equations for the Markov chain, and after dealing with issues of stability and accuracy, the Crank-Nicolson method is used. The last few sections of the chapter are devoted to the physics of these solutions and the authors give some intuitive feel for the entropic factors and energy balance on a protein motor. In the last chapter of the book, the considerations in chapter 12 are applied to concrete molecular motors. The first one examined is a model for switching in a bacterial flagellar motor, which involves the protein CheY as a signaling pathway. The binding of CheY to the motor is modeled as a two-state process, with the binding site being either empty or occupied. The resulting set of coupled differential equations for the probabilities is solved for when the concentration of CheY is constant. An expression for the change in free energy is obtained, and the authors give a discussion of the physics in the light of what was done in the last chapter. The switching rate is computed, along with the mean first passage time. Some other examples of molecular motors are also discussed, including the flashing racket, the polymerization ratchet, and a simplified model of the ion-driven F0 motor of ATP synthase. This latter motor is fascinating, since it describes the electrochemical energy involved in mitochondria for the production of ATP. The authors do a nice job of showing how the techniques of chapter 12 are used to solve this model, and also give an analytical solution for a certain limiting case. ... Read more |
22. An Introduction to Mathematical Biology by Linda J.S. Allen | |
Paperback: 368
Pages
(2006-07-29)
list price: US$84.00 -- used & new: US$32.50 (price subject to change: see help) Asin: 0130352160 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
23. Mathematical Methods in Biology (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) by J. David Logan, William Wolesensky | |
Paperback: 417
Pages
(2009-08-17)
list price: US$84.95 -- used & new: US$52.48 (price subject to change: see help) Asin: 0470525878 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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. |
24. Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation (Wiley Series in Mathematical & Computational Biology) by O. Diekmann, J. A. P. Heesterbeek | |
Paperback: 320
Pages
(2000-05-25)
list price: US$130.00 -- used & new: US$102.76 (price subject to change: see help) Asin: 0471492418 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Very Advanced
Great, but not as an intro to Infectious Disease Modeling |
25. Branching Processes in Biology (Interdisciplinary Applied Mathematics) by Marek Kimmel, David E. Axelrod | |
Paperback: 230
Pages
(2010-11-02)
list price: US$109.00 -- used & new: US$76.50 (price subject to change: see help) Asin: 1441929584 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book introduces biological examples of Branching Processes from molecular and cellular biology as well as from the fields of human evolution and medicine and discusses them in the context of the relevant mathematics. It provides a useful introduction to how the modeling can be done and for what types of problems branching processes can be used. |
26. Applied Mathematical Demography (Statistics for Biology and Health) by N. Keyfitz, Hal Caswell | |
Paperback: 558
Pages
(2010-11-02)
list price: US$115.00 -- used & new: US$91.73 (price subject to change: see help) Asin: 1441919775 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The third edition of this classic text maintains its focus on applications of demographic models, while extending its scope to matrix models for stage-classified populations. The authors first introduce the life table to describe age-specific mortality, and then use it to develop theory for stable populations and the rate of population increase. This theory is then revisited in the context of matrix models, for stage-classified as well as age-classified populations. Reproductive value and the stable equivalent population are introduced in both contexts, and Markov chain methods are presented to describe the movement of individuals through the life cycle. Applications of mathematical demography to population projection and forecasting, kinship, microdemography, heterogeneity, and multi-state models are considered. The new edition maintains and extends the book's focus on the consequences of changes in the vital rates. Methods are presented for calculating the sensitivity and elasticity of population growth rate, life expectancy, stable stage distribution, and reproductive value, and for applying those results in comparative studies. Stage-classified models are important in both human demography and population ecology, and this edition features examples from both human and non-human populations. In short, this third edition enlarges considerably the scope and power of demography. It will be an essential resource for students and researchers in demography and in animal and plant population ecology. Nathan Keyfitz is Professor Emeritus of Sociology at Harvard University. After holding positions at Canada's Dominion Bureau of Statistics, the University of Chicago, and the University of California at Berkeley, he became Andelot Professor of Sociology and Demography at Harvard in 1972. After retiring from Harvard, he became Director of the Population Program at the International Institute for Applied Systems Analysis (IIASA) in Vienna from 1983 to 1993. Keyfitz is a member of the U.S. National Academy of Sciences and the Royal Society of Canada, and a Fellow of the American Academy of Arts and Sciences. He has received the Mindel Sheps Award of the Population Association of America and the Lazarsfeld Award of the American Sociological Association, and was the 1997 Laureate of the International Union for the Scientific Study of Population. He has written 12 books, including Introduction to the Mathematics of Population (1968) and, with Fr. Wilhelm Flieger, SVD, World Population Growth and Aging: Demographic Trends in the Late Twentieth Century (1990). Hal Caswell is a Senior Scientist in the Biology Department of the Woods Hole Oceanographic Institution, where he holds the Robert W. Morse Chair for Excellence in Oceanography. He is a Fellow of the American Academy of Arts and Sciences. He has held a Maclaurin Fellowship from the New Zealand Institute of Mathematics and its Applications and a John Simon Guggenheim Memorial Fellowship. His research focuses on mathematical population ecology with applications in conservation biology. He is the author of Matrix Population Models: Construction, Analysis, and Interpretation (2001). |
27. Population Biology: Concepts and Models (Volume 0) by Alan Hastings | |
Paperback: 220
Pages
(1996-12-13)
list price: US$47.95 -- used & new: US$13.94 (price subject to change: see help) Asin: 0387948538 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Great book for beginners
GoodBookThatShouldBeEnlarged
As clear and concise a population biology text can be!
a gentle but thorough introduction to a fascinating field |
28. An Introduction to Systems Biology: Design Principles of Biological Circuits (Chapman & Hall/CRC Mathematical & Computational Biology) by Uri Alon | |
Paperback: 320
Pages
(2006-07-07)
list price: US$58.95 -- used & new: US$53.06 (price subject to change: see help) Asin: 1584886420 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models. Customer Reviews (22)
Beautiful book: concepts and the big picture
Wow! This book elicits such a strong response!
Great book for practical learning
Great initiation into the field
An Introduction to Systems Biology: Design Principles of Biological Circuits |
29. Optimal Control Applied to Biological Models (Chapman & Hall/CRC Mathematical & Computational Biology) by Suzanne Lenhart, John T. Workman | |
Hardcover: 280
Pages
(2007-05-07)
list price: US$91.95 -- used & new: US$83.65 (price subject to change: see help) Asin: 1584886404 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Excellent and Useful |
30. Tutorials in Mathematical Biosciences II: Mathematical Modeling of Calcium Dynamics and Signal Transduction (Lecture Notes in Mathematics / Mathematical Biosciences Subseries) (v. 2) | |
Paperback: 202
Pages
(2005-08-11)
list price: US$59.95 -- used & new: US$48.31 (price subject to change: see help) Asin: 3540254390 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions. |
31. A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by Sarah P. Otto, Troy Day | |
Hardcover: 752
Pages
(2007-02-20)
list price: US$78.50 -- used & new: US$57.79 (price subject to change: see help) Asin: 0691123446 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
That's good book !!
Very good on stability analysis |
32. Mechanics of Swimming and Flying (Cambridge Studies in Mathematical Biology) by Stephen Childress | |
Paperback: 168
Pages
(1981-07-31)
list price: US$43.00 -- used & new: US$15.84 (price subject to change: see help) Asin: 0521280710 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
33. The Mathematical Theory of Selection, Recombination, and Mutation (Wiley Series in Mathematical & Computational Biology) by R. Bürger | |
Hardcover: 422
Pages
(2000-11-27)
list price: US$250.00 -- used & new: US$196.00 (price subject to change: see help) Asin: 0471986534 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
WORLD OF MATHEMATICAL GENETICS.... EKREMAYNA |
34. Stochastic Modelling for Systems Biology (Chapman & Hall/CRC Mathematical & Computational Biology) by Darren J. Wilkinson | |
Hardcover: 280
Pages
(2006-04-18)
list price: US$92.95 -- used & new: US$88.02 (price subject to change: see help) Asin: 1584885408 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Correct title: Stochastic modeling of biological systems |
35. Mathematical Aspects of Hodgkin-Huxley Neural Theory (Cambridge Studies in Mathematical Biology) by Jane Cronin | |
Paperback: 276
Pages
(2008-06-05)
list price: US$53.00 -- used & new: US$44.93 (price subject to change: see help) Asin: 0521063884 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
36. Mathematical Models in Medical and Health Science (Innovations in Applied Mathematics) | |
Hardcover: 496
Pages
(1999-03-31)
list price: US$60.00 -- used & new: US$39.17 (price subject to change: see help) Asin: 0826513107 Canada | United Kingdom | Germany | France | Japan | |
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37. Biological Kinetics (Cambridge Studies in Mathematical Biology) | |
Paperback: 232
Pages
(2008-06-05)
list price: US$50.00 -- used & new: US$40.14 (price subject to change: see help) Asin: 0521064090 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
38. An Introduction to the Mathematics of Biology by Edward K. Yeargers, James V. Herod, Ronald W. Shonkweiler | |
Hardcover: 432
Pages
(1996-08-28)
list price: US$109.00 -- used & new: US$78.95 (price subject to change: see help) Asin: 0817638091 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The book has several important features that the authors have developed from their classroom experience. First and foremost, it is designed to be comprehensible to students of biology as well as to students of mathematics and related physical sciences. No prior study of biology is necessary and only a year of calculus is required. The mathematics proceeds from simple to more complex concepts, and the biology proceeds from the population level down to the molecular level. This arrangement makes the material accessible to most biology majors and to most mathematics students near the beginning of their mathematical studies. A unique feature of the book is the use of a computer algebra system, Maple, in parts of every chapter. This hands-on approach to computation provides a rich source of information through the use of "what-if" scenarios and thus allows students to grasp important biological and mathematical concepts in a way that is not possible without such technology. For students who do not have access to a computer algebra system, each topic is complete without the use of either numerical or symbolic equations. Graphic visualizations are provided for all the mathematical results. The text has extensive exercises, problems and examples, along with references for further study. It will be of interest to any mathematics department that teaches mathematical biology. It also lends itself to self-study for more advanced mathematicians and scientists who wish to explore further this most exciting frontier in the applications of mathematics and computers to the natural sciences. This text has been adopted at:Georgia Institute of Technology, Carnegie Mellon University, University of California at Los Angeles, California State University, Northeastern Illinois University, and University of Colorado. Customer Reviews (1)
An excellent book for a beginner interested in math and bio |
39. Compositional Evolution: The Impact of Sex, Symbiosis, and Modularity on the Gradualist Framework of Evolution (Vienna Series in Theoretical Biology) by Richard A. Watson | |
Hardcover: 344
Pages
(2006-02-17)
list price: US$50.00 -- used & new: US$4.97 (price subject to change: see help) Asin: 026223243X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
40. Mathematical Foundations of Neuroscience (Interdisciplinary Applied Mathematics) by G. Bard Ermentrout, David H. Terman | |
Hardcover: 422
Pages
(2010-07-08)
list price: US$74.95 -- used & new: US$52.34 (price subject to change: see help) Asin: 038787707X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University. |
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