Mathematical Concepts and Methods in 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.

• Preface to the 2nd EditionPreface to the 1st Edition1. Modeling Gene Regulation Using Boolean Network Models2. Bistability in Bacterial Genetic Networks: A Comparison of Differential Equations and Boolean Network Models3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering4. Stochastic Boolean Networks5. Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences6. Agent-Based Models and Optimal Control in Biology: A Discrete Approach7. Neuronal Networks: A Discrete Model8. Predicting Population Growth: Modeling with Projection Matrices9. Identifying CpG Islands: Sliding Windows and Using Hidden Markov Models Approaches10. Phylogenetic Tree Reconstruction: Geometric Approaches11. Tropical Linear Algebra and its Applications to Phylogenomics