Showing posts with label applied math. Show all posts
Showing posts with label applied math. Show all posts

11/14/2011

Modeling Biological Systems:: Principles and Applications Review

Modeling Biological Systems:: Principles and Applications
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This book is a complete dissapointment.
It does not offer any real scientific physical models which then can be transformed in an algorithm and being simulated but is is merely a conglomerate of several statistical procedures commonly used in Biology for interpreting data (maybe copied by the author and collected from other books, as nothing that he presents is new!). This book does not offer any scientific, fundamental insight in how to really model and simulate properly complex biological systems, it is also written in a very unscientific, popular style. The mathematical level corresponds to High-School and as the author says in the preface: "The process of modeling biological systems is certainly not a science, but neither is it as unconstrained as the creation of a work of pure art that is evaluated solely on its esthetic content". I think that nonsense speaks for itself. This author should rather write novels instead of cobbling something together that gets the label "scientific" on the cover.
The book is not trash, the author does have collected some of the simplest "models" there are to describe collections of data in statistical terms, but this has NOTHING to do with proper scientific numerical and mathematical modeling and even less with scientific Computing in the field of biological complex systems, e.g. how to simulate membranes, proteins using Quantum Chemistry or Molecular dynamics techniques.
All in all I judge this book as a complete waste of money and as completely superfluous.

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This is the second edition of a textbook currently published by Springer for a course in mathematical modeling and computer simulation for biologists at the advanced undergraduate and introductory graduate level. The audience for this edition is similar to that of the previous one: advanced level courses in computational biology, as well as researchers retooling themselves. This new edition includes a CD-ROM with real examples of models as teaching tools.

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10/20/2011

Stochastic Modeling: Analysis and Simulation (Dover Books on Mathematics) Review

Stochastic Modeling: Analysis and Simulation (Dover Books on Mathematics)
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A good mix of not-too-hard math with practical examples. Good review of probability and statistics. Down-to-earth readable style. My only complaint: A very skimpy index. Overall a great introduction to stochastic processes and their simulation.

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A coherent introduction to the techniques for modeling dynamic stochastic systems, this volume also offers a guide to the mathematical, numerical, and simulation tools of systems analysis. Each chapter opens with an illustrative case study, and comprehensive presentations include formulation of models, determination of parameters, analysis, and interpretation of results. 1995 edition.

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10/06/2011

Mathematical Modeling, Third Edition Review

Mathematical Modeling, Third Edition
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In this book you'll find, fully explained, subjects that are only mentioned briefly in other texts on modeling. I liked the chapter (chapter five) on Eigenvalue Methods for the analysis of dynamic models. I wished I had it four years ago when I was taking a course on modeling at the University of Washington. It really shows you how to do it. The same can be said about chapters 2 and 3 on optimization and chapters 7 and 8 on probability models (I liked specially the one on Markov Chains). I'm using it for teaching those techniques. The pseuodocode it includes is particularly helpful when you take the methods presented in the book to the computer. However, I would not recomend it to be used on its own as the only text in a course. It is a nice complement to texts like Gurney and Nisbet's Ecological Dynamics that presents many particular models in detail, while Meerschaert makes enphasis on general techniques. It's also a step up the ladder from "abc-of-modeling-techniques" texts like Vandermeer's Elementary Mathemathical Ecology. With 20/20 hindsight, if I had to learn modeling from the begining (or, if I had to teach it as I'm doing now) I would choose these titles as a step-by-step system, coupled with some Math packages like MathCad or Matlab.

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Mathematical Modeling 3e is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems.Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines.This new edition will be accompanied by expanded and enhanced on-line support for instructors. MATLAB material will be added to complement existing support for Maple, Mathematica, and other software packages, and the solutions manual will be provided both in hard copy and on the web. * Increased support for instructors, including MATLAB material as well as other on-line resources* New sections on time series analysis and diffusion models* Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems

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8/04/2011

A First Course in Mathematical Modeling Review

A First Course in Mathematical Modeling
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From discrete to continuous modelling, with many proyects and examples, I like very spacially this book for the undergraduate level. The presentation is very clear, but rigurous, making experience the reader through the models. It focuses on the interpretation and ends with some tools for modelbuilding. For a start of mathematical model understanding of reality this book is specially good, clear and completely well written. Good job Mr. Giordano and Weir! See also: Mesterton-Gibbons:An aproach to Mathematical Modelling, Fowler: Mathematical Models in the Sciences, Beltrami: Mathematics for Dynamical Modeling, Morrison: The Art of Modeling Dynamical Systams and Giordano: Differential Equations a Modeling Aproach.

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Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling.

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