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Algebraic and Combinatorial Computational Biology

  • 1st Edition - September 13, 2018
  • Latest edition
  • Editors: Raina Robeva, Matthew Macauley
  • Language: English

Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern co… Read more

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Description

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.

Key features

  • 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

Readership

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

Table of contents

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

Product details

  • Edition: 1
  • Latest edition
  • Published: September 13, 2018
  • Language: English

About the editors

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Raina Robeva

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.
Affiliations and expertise
Professor of Mathematics, Karl E. Peace Fellow in Mathematics, Randolph-Macon College, VA USA

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Matthew Macauley

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.
Affiliations and expertise
Associate Professor of Mathematical Sciences, Clemson University, SC, USA

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