Search Research Symposium Abstracts

Maximal helices weighted by experimental probing data to infer RNA topology*

Non-coding RNAs are biological molecules known for their uncountable roles as transcription regulators (rRNA), carriers of free amino acid (tRNA), etc. Functions that are only performed if the RNA folds into a specific topology. The secondary structure is a representation of this topology. This structure can be broken down into small functional units called [Read More...]

Presenter: Afaf Saaidi, Georgia Institute of Technology
Authors: Afaf Saaidi, Christine Heitsch, Alain Laederach
Symposium Year: 2022
Session: Discrete and Topological Models for Biological Structures
Presentation Time: June 17, 2022; 10:15 am

Finding hidden low dimensional structure in data distorted by monotone transformations

Measurements of biological data are often distorted by unknown monotone transformations. While these nonlinear distortions make detecting low-dimensional structure using traditional matrix analysis impossible, we can recover some of this hidden structure using combinatorial and topological techniques. In this talk, we explore the underlying rank of a matrix [Read More...]

Presenter: Caitlin Lienkaemper, Pennsylvania State University
Authors: Carina Curto, Caitlin Lienkaemper, Juliana Londono-Alvarez, Hannah Rocio Santa Cruz
Symposium Year: 2022
Session: Discrete and Topological Models for Biological Structures
Presentation Time: June 17, 2022; 10:40 am

Universality and synchronization in complex quadratic networks*

Dynamic rhythms in networks of neural oscillators is an important point in neuroscience. In a brain circuit, different asymptotic patterns (e.g., steady state versus oscillations) may reflect into different functional and cognitive outcomes and could mark differences between health and pathology. The preference for one behavior versus others depends not only [Read More...]

Presenter: Anca Radulescu, State University of New York at New Paltz
Authors: Anca Radulescu, Danae Evans
Symposium Year: 2022
Session: Discrete and Topological Models for Biological Structures
Presentation Time: June 17, 2022; 11:05 am

DNA Self-assembly: Complexity and Simulation*

Applications of immediate concern have driven some of the most interesting questions in the field of graph theory and networks, for example graph drawing and computer chip layout problems, random networks and modeling the internet, graph connectivity measures and ecological systems, etc. Currently, scientists are engineering self-assembling DNA molecules to [Read More...]

Presenter: Joanna A Ellis-Monaghan, University of Amsterdam
Symposium Year: 2022
Session: Discrete and Topological Models for Biological Structures
Presentation Time: June 17, 2022; 11:30 am