Modeling Dynamic Phenomena in Molecular and Cellular Biology

by Lee A. Segel
Modeling Dynamic Phenomena in Molecular and Cellular Biology
Author: Lee A. Segel
Publisher: Cambridge University Press
Total Pages: 326
Release: 1984-03-30
Genre: Mathematics
ISBN: 9780521274777
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The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.

Quantitative Fundamentals of Molecular and Cellular Bioengineering

by K. Dane Wittrup
Quantitative Fundamentals of Molecular and Cellular Bioengineering
Author: K. Dane Wittrup
Publisher: MIT Press
Total Pages: 593
Release: 2020-01-07
Genre: Science
ISBN: 0262042657
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A comprehensive presentation of essential topics for biological engineers, focusing on the development and application of dynamic models of biomolecular and cellular phenomena. This book describes the fundamental molecular and cellular events responsible for biological function, develops models to study biomolecular and cellular phenomena, and shows, with examples, how models are applied in the design and interpretation of experiments on biological systems. Integrating molecular cell biology with quantitative engineering analysis and design, it is the first textbook to offer a comprehensive presentation of these essential topics for chemical and biological engineering. The book systematically develops the concepts necessary to understand and study complex biological phenomena, moving from the simplest elements at the smallest scale and progressively adding complexity at the cellular organizational level, focusing on experimental testing of mechanistic hypotheses. After introducing the motivations for formulation of mathematical rate process models in biology, the text goes on to cover such topics as noncovalent binding interactions; quantitative descriptions of the transient, steady state, and equilibrium interactions of proteins and their ligands; enzyme kinetics; gene expression and protein trafficking; network dynamics; quantitative descriptions of growth dynamics; coupled transport and reaction; and discrete stochastic processes. The textbook is intended for advanced undergraduate and graduate courses in chemical engineering and bioengineering, and has been developed by the authors for classes they teach at MIT and the University of Minnesota.

Cellular Biophysics and Modeling

by Greg Conradi Smith
Cellular Biophysics and Modeling
Author: Greg Conradi Smith
Publisher: Cambridge University Press
Total Pages: 395
Release: 2019-03-14
Genre: Mathematics
ISBN: 1107005361
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What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level.

Dynamical Models in Biology

by Miklós Farkas
Dynamical Models in Biology
Author: Miklós Farkas
Publisher: Academic Press
Total Pages: 199
Release: 2001-06-15
Genre: Mathematics
ISBN: 0080530605
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Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: - Chaotic dynamics of populations - The spread of sexually transmitted diseases - Problems of the origin of life - Models of immunology - Formation of animal hide patterns - The intuitive meaning of mathematical formulae explained with many figures - Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. - A 'down-to-earth' introduction to the growing field of modern mathematical biology - Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra

Dynamic Models in Biology

by Stephen P. Ellner
Dynamic Models in Biology
Author: Stephen P. Ellner
Publisher: Princeton University Press
Total Pages: 352
Release: 2011-09-19
Genre: Science
ISBN: 1400840961
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From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Dynamical Systems for Biological Modeling

by Fred Brauer
Dynamical Systems for Biological Modeling
Author: Fred Brauer
Publisher: CRC Press
Total Pages: 482
Release: 2015-12-23
Genre: Mathematics
ISBN: 1498774040
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Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa

Mathematical Models in Biology

by Leah Edelstein-Keshet
Mathematical Models in Biology
Author: Leah Edelstein-Keshet
Publisher: SIAM
Total Pages: 629
Release: 1988-01-01
Genre: Mathematics
ISBN: 9780898719147
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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.

Advances in Systems Biology

by Igor I. Goryanin
Advances in Systems Biology
Author: Igor I. Goryanin
Publisher: Springer Science & Business Media
Total Pages: 679
Release: 2011-12-09
Genre: Science
ISBN: 1441972102
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The International Society for Systems Biology (ISSB) is a society aimed at advancing world-wide systems biology research by providing a forum for scientific discussions and various academic services. The ISSB helps coordinate researchers to form alliances for meeting the unique needs of multidisciplinary and international systems biology research. The annual International Conference on Systems Biology (ICSB) serves as the main meeting for the society and is one of the largest academic and commercial gatherings under the broad heading of ‘Systems Biology’.