Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis.

ABSTRACT: While the spatial topological persistence is naturally constructed from a radius-based filtration, it has hardly been derived from a temporal filtration. Most topological models are designed for the global topology of a given object as a whole. There is no method reported in the literature for the topology of an individual component in an object to the best of our knowledge. For many problems in science and engineering, the topology of an individual component is important for describing its properties. We propose evolutionary homology (EH) constructed via a time evolution-based filtration and topological persistence. Our approach couples a set of dynamical systems or chaotic oscillators by the interactions of a physical system, such as a macromolecule. The interactions are approximated by

SUBMITTER: Cang Z 

PROVIDER: S-EPMC8223814 | biostudies-literature | 2020 Dec

REPOSITORIES: biostudies-literature