Search Research Symposium Abstracts

A tile model of entangled proteins

It has been established that knots, slipknots, and other complex topologies exist in cellular proteins and have been conserved throughout evolution. Yet the global topology of a chain only provides a limited view of its topological entanglement. In particular, even if the chain is unknotted, there can be tangling of sites which may be distant on the amino [Read More...]

Presenter: Erica Flapan, Editor in Chief of the Notices of the AMS
Authors: Erica Flapan and Helen Wong
Symposium Year: 2022
Session: Mathematics of Materials
Presentation Time: June 18, 2022; 10:15 am

Mathematical models for DNA self-assembly

There is an increased necessity for mathematical study of self-assembly of various phenomena ranging from nano-scale structures, material design, crystals and nano devices. We present a range of topological questions associated with DNA self-assembly and three dimensional structures. The questions vary from topological graph theory related to DNA strand [Read More...]

Presenter: Nataša Jonoska, University of South Florida
Symposium Year: 2022
Session: Mathematics of Materials
Presentation Time: June 18, 2022; 10:40 am

TDA approach to the space of knots and their invariants

A multitude of knot invariants, including quantum invariants and their categorifications, have been introduced to aid with characterizing and classifying knots and their topological properties. Relations between knot invariants and their relative strengths at distinguishing knots are still mostly elusive. We propose adapting TDA tools such as Ball Mapper and [Read More...]

Presenter: Radmila Sazdanovic, NC State University
Authors: Pawel Dlotko, Davide Burnari, Radmila Sazdanovic
Symposium Year: 2022
Session: Mathematics of Materials
Presentation Time: June 18, 2022; 11:05 am

Topological entanglement effects in biopolymers

Proteins and other biopolymers can be represented by mathematical curves in space. Understanding the structure of such macromolecules is at the core of very important problems in biology, such as protein folding, protein aggregation and cell nucleus organization and function. Predicting polymer material properties based on chemical composition, density, [Read More...]

Presenter: Eleni Panagiotou, University of Tennessee at Chattanooga
Authors: Eleni Panagiotou
Symposium Year: 2022
Session: Mathematics of Materials
Presentation Time: June 18, 2022; 11:30 am