Minimal distance transformations between links and polymers: Principles and examples - Condensed Matter > Soft Condensed MatterReport as inadecuate




Minimal distance transformations between links and polymers: Principles and examples - Condensed Matter > Soft Condensed Matter - Download this document for free, or read online. Document in PDF available to download.

Abstract: The calculation of Euclidean distance between points is generalized toone-dimensional objects such as strings or polymers. Necessary and sufficientconditions for the minimal transformation between two polymer configurationsare derived. Transformations consist of piecewise rotations and translationssubject to Weierstrass-Erdmann corner conditions. Numerous examples are givenfor the special cases of one and two links. The transition to a large number oflinks is investigated, where the distance converges to the polymer length timesthe mean root square distance MRSD between polymer configurations, assumingcurvature and non-crossing constraints can be neglected. Applications of thismetric to protein folding are investigated. Potential applications are alsodiscussed for structural alignment problems such as pharmacophoreidentification, and inverse kinematic problems in motor learning and control.



Author: Ali R. Mohazab, Steven S. Plotkin

Source: https://arxiv.org/







Related documents