Algebraic and Combinatorial Computational Biology

Presents a modular introduction to problems in computational biology that involve non-traditional combinatorial and algebraic mathematical methods

Raina Robeva (Edited by), Matthew Macauley (Edited by)

9780128140666

Paperback, published 13 September 2018

434 pages
22.9 x 15.1 x 2.7 cm, 0.79 kg

Approx.418 pages

1. Multi-scale graph-theoretic modeling of bimolecular structures 2. DNA nanostructures: Mathematical design and problem encoding 3. Graphs associated with DNA rearrangements and their polynomials 4. Regulation of gene expression by operons: Boolean, logical, and local models 5. Modeling the stochastic nature of gene regulation: probabilistic Boolean networks 6. Inferring interactions in molecular networks via primary decompositions of monomial ideals 7. Analysis of combinatorial neural codes: an algebraic approach 8. Predicting neural network dynamics: insights from graph theory 9. Multistationarity in biochemical networks: Results, analysis, and examples 10. Optimization problems in phylogenetics: Polytopes, programming and interpretation 11. Clustering via self-organizing maps on biology and medicine 12. Toward revealing protein function: Identifying biologically relevant clusters with graph spectral methods

Subject Areas: Applied mathematics [PBW], Algebra [PBF]