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1. Multi-scale graph-theoretic modeling of bimolecular structures
Greta Pangborn, Wiesner Emilie, John Richard R. Jungck, Manda Riehl, Debra Knisley and Jeff Randell Knisley
2. DNA nanostructures: Mathematical design and problem encoding
Jo Ellis-Monaghan, Nataša Jonoska and Greta Pangborn
3. Graphs associated with DNA rearrangements and their polynomials
Robert Brijder, Hendrik Jan Hoogeboom, Nataša Jonoska and Masahico Saito
4. Regulation of gene expression by operons: Boolean, logical, and local models
Matthew Macauley, Robin Lee Davies and Andy Jenkins
5. Modeling the stochastic nature of gene regulation: probabilistic Boolean networks
David Murrugarra and Boris Aguilar
6. Inferring interactions in molecular networks via primary decompositions of monomial ideals
Matthew Macauley and Brandilyn Stigler
7. Analysis of combinatorial neural codes: an algebraic approach
Nora Youngs, Carina Curto and Alan Veliz-Cuba
8. Predicting neural network dynamics: insights from graph theory
Katherine Morrison, Carina Curto
9. Multistationarity in biochemical networks: Results, analysis, and examples
Carsten Conradi and Casian Pantea
10. Optimization problems in phylogenetics: Polytopes, programming and interpretation
Gabriela Hamerlinck, Stefan Forcey and William Sands
11. Clustering via self-organizing maps on biology and medicine
Olcay Akman, Timothy D. Comar, Dan Hrozencik and Josselyn Gonzalez
12. Toward revealing protein function: Identifying biologically relevant clusters with graph spectral methods
Robin Lee Davies, Urmi Ghosh-Dastidar, Jeff Randell Knisley and Widodo Samyono
Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences.
- Integrates a comprehensive selection of tools from computational biology into educational or research programs
- Emphasizes practical problem-solving through multiple exercises, projects and spinoff computational simulations
- Contains scalable material for use in undergraduate and graduate-level classes and research projects
- Introduces the reader to freely-available professional software
- Supported by illustrative datasets and adaptable computer code
Upper division undergraduate and graduate students. Early career researchers in biology or mathematics, particularly those transitioning into the field of mathematical and computational biology. Some practitioners seeking a methods-based primer for the field
- No. of pages:
- © Academic Press 2018
- 10th September 2018
- Academic Press
- Paperback ISBN:
- eBook ISBN:
Raina Robeva was born in Sofia, Bulgaria. She holds a PhD in Mathematics from the University of Virginia and has broad research interests spanning theoretical mathematics, applied probability, and systems biology. Robeva is the founding Chief Editor of the journal Frontiers in Systems Biology and the lead author/editor of the books An Invitation to Biomathematics (2008), Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), and Algebraic and Discrete Mathematical Methods for Modern Biology (2015), all published by Academic Press. She is Professor of Mathematical Sciences and Director of the Center for Science and Technology in Society at Sweet Briar College.
Professor of Mathematical Sciences, Sweet Briar College, VA, USA
Matthew Macauley is an Associate Professor at Clemson University in South Carolina. Since finishing his PhD in Mathematics from the University of California, Santa Barbara, he has been a research visitor at the Biocomplexity Institute of Virginia Tech, the Institute for Systems Biology in Seattle, and the University of Southern Denmark. He has also taught internationally in both South Africa and Taiwan. Macauley has supervised two PhD and five MS students, as well as a number of undergraduate research students. With Raina Robeva, he has co-organized three faculty development workshops on teaching discrete and algebraic methods in mathematical biology to undergraduates.
Associate Professor of Mathematical Sciences, Clemson University, SC, USA
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