6 citations · 8 across the 3 of their papers we have counts for
8 papers
Efficient Detection of Borromean Linking in Ellipses
Jonathan Strange, Ryan Blair, Alexander R. Klotz
We describe a method by which the number of intersections one ellipse makes inside the plane of another can be determined. The method is based on applying a transformation that rev…
Topologically Directed Simulations Reveal the Impact of Geometric Constraints on Knotted Proteins
Agnese Barbensi, Alexander R. Klotz, Dimos Gkountaroulis
Simulations of knotting and unknotting in polymers or other filaments rely on random processes to facilitate topological changes. Here we introduce a method of \textit{topological…
Ropelength-minimizing concentric helices and non-alternating torus knots
Alexander R. Klotz, Finn Thompson
An alternating torus knot or link may be constructed from a repeating double helix after connecting its two ends. A structure with additional helices may be closed to form a non-al…
Dynamics of polymers in coarse-grained nematic solvents
Zahra Valei, Karolina Wamsler, Alex J. Parker +3
Polymers are a primary building block in many biomaterials, often interacting with anisotropic backgrounds. While previous studies have considered polymer dynamics within nematic s…
Revisiting the Second Vassiliev (In)variant for Polymer Knots
Alexander R. Klotz, Benjamin Estabrooks
Knots in open strands such as ropes, fibers, and polymers, cannot typically be described in the language of knot theory, which characterizes only closed curves in space. Simulation…
Ropelength and writhe quantization of 12-crossing knots
Alexander R. Klotz, Caleb J. Anderson
The ropelength of a knot is the minimum length required to tie it. Computational upper bounds have previously been computed for every prime knot with up to 11 crossings. Here, we p…