Bio-Molecular Shapes and Algebraic Structures

Christian Reidys and Peter F. Stadler

Shapes of biological macromolecules---RNA, DNA, and proteins---can be represented by abstract algebraic structures provided as suitably coarse resolution is chosen. These abstract structures, for instance partially ordered sets and permutation groups, can be used for deriving new metric distances between biomolecular shapes and for proving surprising theorems on sequence-structure relations.

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