Algebraic and Discrete Mathematical Methods for Modern Biology

Inbunden, Engelska, 2015

1 212 kr

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Beskrivning

Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution.

Examines significant questions in modern biology and their mathematical treatments
Presents important mathematical concepts and tools in the context of essential biology
Features material of interest to students in both mathematics and biology
Presents chapters in modular format so coverage need not follow the Table of Contents
Introduces projects appropriate for undergraduate research
Utilizes freely accessible software for visualization, simulation, and analysis in modern biology
Requires no calculus as a prerequisite
Provides a complete Solutions Manual
Features a companion website with supplementary resources

Produktinformation

Utgivningsdatum:2015-03-25
Mått:216 x 276 x 22 mm
Vikt:1 340 g
Format:Inbunden
Språk:Engelska
Antal sidor:382
Förlag:Elsevier Science
ISBN:9780128012130

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Mer om författaren

Raina Robeva was born in Sofia, Bulgaria. She holds a Ph.D. in Mathematics from the University of Virginia and is a Professor of Mathematics and a Karl E. Peace Fellow in Mathematics at Randolph-Macon College in the United States. Her current research is in the broad fields of mathematical and systems biology. In addition to editing this second edition, she has authored and edited several books, including A Bridge to Higher Mathematics (CRC Press, 2024), Algebraic and Combinatorial Computational Biology (Academic Press, 2019), and Algebraic and Discrete Mathematical Methods for Modern Biology (Academic Press, 2015). She has chaired the Advisory Board of the National Institute for Mathematical and Biological Synthesis (NIMBioS), led the Committee on Special Interest Groups of the Mathematical Association of America, and served for over a decade as the founding Editor-in-Chief of Frontiers in Systems Biology.

Recensioner i media

"...makes an important contribution to mathematical biology education. It brings to the reader important biological problems and novel mathematical approaches that are mostly not discussed in other undergraduate texts on the subject." --Society for Industrial and Applied Mathematics"The book will serve as an excellent resource for instructors in the overlap between biology, mathematics, and computing who are looking for interesting and well-worked-out examples that apply algebra to modern biological questions." --The Quarterly Review of Biology"This is an excellent book which would be suitable as a textbook...I therefore strongly recommend it, over other classic texts, for use in teaching Discrete Mathematics." --MAA.org

Innehållsförteckning

Preface1. Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern RecognitionJohn R. Jungck and Rama Viswanathan2. Food Webs and GraphsMargaret Midge Cozzens3. Adaptation and Fitness GraphsKristina Crona and Emilie Wiesner4. Signaling Networks: Asynchronous Boolean ModelsRéka Albert and Raina Robeva5. Dynamics of Complex Boolean Networks: Canalization, Stability, and CriticalityQijun He, Matthew Macauley and Robin Davies6. Steady State Analysis of Boolean Models: A Dimension Reduction ApproachAlan Veliz-Cuba and David Murrugarra7. BioModel Engineering with Petri NetsMary Ann Blätke, Monika Heiner and Wolfgang Marwan8. Transmission of Infectious Diseases: Data, Models, and SimulationsWinfried Just, Hannah Callender, M. Drew LaMar and Natalia Toporikova9. Disease Transmission Dynamics on Networks: Network Structure Versus Disease DynamicsWinfried Just, Hannah Callender and M. Drew LaMar10. Predicting Correlated Responses in Quantitative Traits Under Selection: A Linear Algebra ApproachJanet Steven and Bessie Kirkwood 11. Metabolic Analysis: Algebraic and Geometric MethodsTerrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman12. Reconstructing the Phylogeny: Computational Methods Grady Weyenberg and Ruriko Yoshida13. RNA Secondary Structures: Combinatorial Models and Folding AlgorithmsQijun He, Matthew Macauley and Robin Davies14. RNA Secondary Structures: An Approach Through Pseudoknots and FatgraphsChristian M. Reidys