Algebraic and Discrete Mathematical Methods for Modern Biology
Published on 25. March 2015
Book
Hardback
382 pages
978-0-12-801213-0 (ISBN)
Description
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.
Reviews / Votes
"...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
More details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
College/higher education
Students and researchers in biomathematics, mathematics, and biology
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 287 mm
Width: 222 mm
Thickness: 22 mm
Weight
1289 gr
ISBN-13
978-0-12-801213-0 (9780128012130)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
05/2015
Academic Press
€70.99
Available for download
Person
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.
Content
Preface
1. Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern Recognition
John R. Jungck and Rama Viswanathan
2. Food Webs and Graphs
Margaret Midge Cozzens
3. Adaptation and Fitness Graphs
Kristina Crona and Emilie Wiesner
4. Signaling Networks: Asynchronous Boolean Models
Reka Albert and Raina Robeva
5. Dynamics of Complex Boolean Networks: Canalization, Stability, and Criticality
Qijun He, Matthew Macauley and Robin Davies
6. Steady State Analysis of Boolean Models: A Dimension Reduction Approach
Alan Veliz-Cuba and David Murrugarra
7. BioModel Engineering with Petri Nets
Mary Ann Blaetke, Monika Heiner and Wolfgang Marwan
8. Transmission of Infectious Diseases: Data, Models, and Simulations
Winfried Just, Hannah Callender, M. Drew LaMar and Natalia Toporikova
9. Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics
Winfried Just, Hannah Callender and M. Drew LaMar
10. Predicting Correlated Responses in Quantitative Traits Under Selection: A Linear Algebra Approach
Janet Steven and Bessie Kirkwood
11. Metabolic Analysis: Algebraic and Geometric Methods
Terrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman
12. Reconstructing the Phylogeny: Computational Methods
Grady Weyenberg and Ruriko Yoshida
13. RNA Secondary Structures: Combinatorial Models and Folding Algorithms
Qijun He, Matthew Macauley and Robin Davies
14. RNA Secondary Structures: An Approach Through Pseudoknots and Fatgraphs
Christian M. Reidys
1. Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern Recognition
John R. Jungck and Rama Viswanathan
2. Food Webs and Graphs
Margaret Midge Cozzens
3. Adaptation and Fitness Graphs
Kristina Crona and Emilie Wiesner
4. Signaling Networks: Asynchronous Boolean Models
Reka Albert and Raina Robeva
5. Dynamics of Complex Boolean Networks: Canalization, Stability, and Criticality
Qijun He, Matthew Macauley and Robin Davies
6. Steady State Analysis of Boolean Models: A Dimension Reduction Approach
Alan Veliz-Cuba and David Murrugarra
7. BioModel Engineering with Petri Nets
Mary Ann Blaetke, Monika Heiner and Wolfgang Marwan
8. Transmission of Infectious Diseases: Data, Models, and Simulations
Winfried Just, Hannah Callender, M. Drew LaMar and Natalia Toporikova
9. Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics
Winfried Just, Hannah Callender and M. Drew LaMar
10. Predicting Correlated Responses in Quantitative Traits Under Selection: A Linear Algebra Approach
Janet Steven and Bessie Kirkwood
11. Metabolic Analysis: Algebraic and Geometric Methods
Terrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman
12. Reconstructing the Phylogeny: Computational Methods
Grady Weyenberg and Ruriko Yoshida
13. RNA Secondary Structures: Combinatorial Models and Folding Algorithms
Qijun He, Matthew Macauley and Robin Davies
14. RNA Secondary Structures: An Approach Through Pseudoknots and Fatgraphs
Christian M. Reidys