Mathematical Concepts and Methods in Modern Biology
Using Modern Discrete Models
Published on 21. February 2013
Book
Hardback
372 pages
978-0-12-415780-4 (ISBN)
Description
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.
Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.
Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.
Reviews / Votes
"Contributors in biology, in mathematics, and in bioinformatics introduce undergraduate students and their instructors to more applications of discrete mathematics to biology than can be found in standard textbooks. The goal is not to be comprehensive, but to open the door to more advanced and specialized resources." --Reference and Research Book News, August 2013More details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Researchers, educators, and students engaged in Biological Research and Mathematics
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 241 mm
Width: 197 mm
Thickness: 25 mm
Weight
933 gr
ISBN-13
978-0-12-415780-4 (9780124157804)
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
New editions
Book
03/2026
2nd Edition
Academic Press
€115.50
Shipment within 15-20 days
Additional editions
Raina Robeva | Terrell Hodge
Mathematical Concepts and Methods in Modern Biology
Using Modern Discrete Models
E-Book
02/2013
Academic Press
€75.95
Available for download
Persons
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 by Raina Robeva and Terrell Hodge1. Mechanisms for Gene Regulation: A Boolean Network Model of the Lac Operon2. Epigenetic Features of the Lac Operon: Comparing Boolean and Ordinary Differential Equations Models3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering4. Global Dynamics Emerging from Local Interactions: Agent-based Modeling for the Life Sciences5. Agent-based Models and Optimal Control in Biology: An Algebraic Approach6. Neuronal Networks: A Discrete Model7. Predicting Plant Population Growth: Modeling with Projection Matrices8. Metabolic Pathways Analysis: A Linear Algebraic Approach9. Identifying CpG Islands: Sliding Windows and Hidden Markov Models10. Codon Usage: From Elementary Probability to Algebraic Geometry11. Phylogenetic Tree Reconstruction: Geometric Approaches