Mathematical Modeling of Biological Processes

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Release : 2014-09-19
Genre : Mathematics
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Book Rating : 147/5 ( reviews)

Mathematical Modeling of Biological Processes - 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 Biological Processes write by Avner Friedman. This book was released on 2014-09-19. Mathematical Modeling of Biological Processes available in PDF, EPUB and Kindle. This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Mathematical and Experimental Modeling of Physical and Biological Processes

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Release : 2009-01-12
Genre : Mathematics
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Book Rating : 386/5 ( reviews)

Mathematical and Experimental Modeling of Physical and Biological Processes - 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 and Experimental Modeling of Physical and Biological Processes write by H.T. Banks. This book was released on 2009-01-12. Mathematical and Experimental Modeling of Physical and Biological Processes available in PDF, EPUB and Kindle. Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

Introduction to Mathematical Biology

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Release : 2016-04-27
Genre : Mathematics
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Book Rating : 388/5 ( reviews)

Introduction to Mathematical Biology - 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 Introduction to Mathematical Biology write by Ching Shan Chou. This book was released on 2016-04-27. Introduction to Mathematical Biology available in PDF, EPUB and Kindle. This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

A Course in Mathematical Biology

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Release : 2006-07-01
Genre : Mathematics
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Book Rating : 252/5 ( reviews)

A Course in Mathematical Biology - 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 A Course in Mathematical Biology write by Gerda de Vries. This book was released on 2006-07-01. A Course in Mathematical Biology available in PDF, EPUB and Kindle. This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions 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?.

Mathematical Models in Biology

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Release : 1988-01-01
Genre : Mathematics
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Book Rating : 147/5 ( reviews)

Mathematical Models in Biology - 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 Models in Biology write by Leah Edelstein-Keshet. This book was released on 1988-01-01. Mathematical Models in Biology available in PDF, EPUB and Kindle. 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, it 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 this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially 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 researchers in math (and some in biology) who wanted to learn about this field.