Mathematical Modeling for the Life Sciences

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Release : 2005-10-04
Genre : Mathematics
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Book Rating : 77X/5 ( reviews)

Mathematical Modeling for the Life Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling for the Life Sciences write by Jacques Istas. This book was released on 2005-10-04. Mathematical Modeling for the Life Sciences available in PDF, EPUB and Kindle. Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

Mathematics for the Life Sciences

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Release : 2013-08-29
Genre : Mathematics
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Book Rating : 768/5 ( reviews)

Mathematics for the Life Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics for the Life Sciences write by Glenn Ledder. This book was released on 2013-08-29. Mathematics for the Life Sciences available in PDF, EPUB and Kindle. ​ ​​ Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.

Mathematical Modeling in the Life Sciences

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Release : 1992-01-01
Genre : Biomathematics.
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Book Rating : 182/5 ( reviews)

Mathematical Modeling in the Life Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling in the Life Sciences write by Paul Doucet. This book was released on 1992-01-01. Mathematical Modeling in the Life Sciences available in PDF, EPUB and Kindle. Combining mathematics, biology, statistics and computer applications, this text applies mathematical methods to the solution of biological and related problems. It demonstrates how to formulate mathematical models of dynamic processes and how to study their behaviour analytically and numerically.

Modeling Life

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Release : 2017-09-06
Genre : Mathematics
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Book Rating : 310/5 ( reviews)

Modeling Life - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling Life write by Alan Garfinkel. This book was released on 2017-09-06. Modeling Life available in PDF, EPUB and Kindle. This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

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Release : 2010-08-12
Genre : Mathematics
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Book Rating : 468/5 ( reviews)

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences write by Giovanni Naldi. This book was released on 2010-08-12. Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences available in PDF, EPUB and Kindle. Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.