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RESEARCH PRODUCT
Detection and visualization of physical knots in macromolecules
Peter Virnausubject
KnotsPolymersComputer scienceStructure (category theory)ProteinsAlexander polynomialPhysics and Astronomy(all)Random walkMathematics::Geometric TopologyAlexander polynomialVisualizationSimple (abstract algebra)Code (cryptography)AlgorithmVisualizationdescription
Abstract This manuscript provides a pedagogical introduction on how to determine and visualize simple physical knots occurring in polymers, proteins and DNA. We explain how the Alexander polynomial is computed and implemented in a simulation code, and how the structure can be simplified beforehand to save computer time. The concept of knottedness can also be extended in a statistical framework to chains which are not closed. The latter is exemplified by comparing statistics of knots in open random walks and closed random loops.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 | Physics Procedia |