48 citations · 103 across the 5 of their papers we have counts for
5 papers
GLN -- a method to reveal unique properties of lasso type topology in proteins
Wanda Niemyska, Kenneth C. Millett, Joanna I. Sulkowska
Geometry and topology are the main factors that determine the functional properties of proteins. In this work, we show how to use the Gauss linking integral (GLN) in the form of a…
Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity
Eleni Panagiotou, Ken Millett, Paul J. Atzberger
We develop topological methods for characterizing the relationship between polymer chain entanglement and bulk viscoelastic responses. We introduce generalized Linking Number and W…
Characteristics of shape and knotting in ideal rings
Laura Zirbel, Kenneth C. Millett
We present two descriptions of the the local scaling and shape of ideal rings, primarily featuring subsegments. Our focus will be the squared radius of gyration of subsegments and…
The linking number and the writhe of uniform random walks and polygons in confined spaces
E. Panagiotou, K. C. Millett, S. Lambropoulou
Random walks and polygons are used to model polymers. In this paper we consider the extension of writhe, self-linking number and linking number to open chains. We then study the av…
Polygonal knot space near ropelength-minimized knots
Kenneth C. Millett, Michael Piatek, Eric J. Rawdon
For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r<R(K) de…