activity
20182022
most citedKnot intensity distribution: a local measure of entanglement

1 citations · 1 across the 3 of their papers we have counts for

collaborators

6 papers

math.GT20221 cited

Knot intensity distribution: a local measure of entanglement

Agnese Barbensi, Daniele Celoria

The problem of finding robust and effective methods for locating entanglement in embedded curves is relevant to both applications and theoretical investigations. Rather than focusi…

math.AT2022

Homology of homologous knotted proteins

Katherine Benjamin, Lamisah Mukta, Gabriel Moryoussef +4

Quantification and classification of protein structures, such as knotted proteins, often requires noise-free and complete data. Here we develop a mathematical pipeline that systema…

q-bio.BM2021

A topological selection of folding pathways from native states of knotted proteins

Agnese Barbensi, Naya Yerolemou, Oliver Vipond +3

Understanding the biological function of knots in proteins and their folding process is an open and challenging question in biology. Recent studies classify the topology and geomet…

q-bio.BM2019

Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology

Agnese Barbensi, Daniele Celoria, Heather A. Harrington +2

Grid diagrams with their relatively simple mathematical formalism provide a convenient way to generate and model projections of various knots. It has been an open question whether…

math.GT2019

-distance of knotoids and protein structure

Agnese Barbensi, Dimos Goundaroulis

Recent studies classify the topology of proteins by analysing the distribution of their projections using knotoids. The approximation of this distribution depends on the number of…

math.GT2018

Double branched covers of knotoids

Agnese Barbensi, Dorothy Buck, Heather A. Harrington +1

By using double branched covers, we prove that there is a 1-1 correspondence between the set of knotoids in the 2-sphere, up to orientation reversion and rotation, and knots with a…