Algebraic and Discrete Mathematical Methods for Modern Biology

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.

"...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

• 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