Algebraic and computational biology/ Raina Robeva and Matthew Macauley eds

Includes bibliography and index

Multiscale graph-theoretic modeling of biomolecular structures -- Tile-based DNA Nanostructures -- Graphs associated with DNA rearrangements and their polynomials -- The Regulation of gene expression by operons and the local modeling framework -- Modeling the stochastic nature of gene regulation with boolean metworks -- Inferring interactions in molecular networks via primary decompositions of monomial ideals -- Analysis of combinatorial neural codes: an algebraic approach -- Predicting neural network dynamics via graphical analysis -- Multistationary in biochemical networks: results analysis and examples -- The Minimum evolution problem in phylogenetics: polytopes linear programming and interpretation -- Data clustering and self-organizing maps in biology -- To

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.