Search Research Symposium Abstracts

A Mathematical Model of Particle Deposition in the Human Lung

Respiratory syncytial virus (RSV) is the leading respiratory disease in infants and young children. Jet nebulizers, which deliver aerosolized drugs to the lung, are commonly used to treat RSV. However, they are ineffective at delivering drug to the lower pediatric lung. A combination of factors leads to this inefficiency, including smaller airways, lower [Read More...]

Presenter: Jordana O'Brien, Rochester Institute of Technology
Authors: Jordana O'Brien, Kara Maki, Jennifer O'Neil
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 1, 2023; 9:45 am

Towards a mathematical model of platelet aggregation and fibrin polymerization

The formation of a blood clot involves complex biophysical and biochemical processes that occur under flow. In the event of an injury, platelets become active and weakly aggregate to form a plug at the injury site. Activated platelet allow for surface-bound complexes to convert zymogen prothrombin into enzyme thrombin. Thrombin further activates platelets [Read More...]

Presenter: Anna C. Nelson, Duke University
Authors: Anna C. Nelson, Aaron L. Fogelson
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 1, 2023; 10:10 am

Mathematical Models of Plasmid Partitioning and Loss in Dividing Cell Populations

Plasmid DNA is common in bacterial populations and is used by synthetic biologists to alter the genetic makeup, and therefore function, of cells. At each cell division in a plasmid-containing population, there is a probability of plasmid loss, giving rise to a differentiated population. The plasmid loss probability is difficult to measure, because it is [Read More...]

Presenter: Amanda M. Alexander, University of Houston
Authors: Mark Jayson Cortez, University of the Philippines Los Banos. Charilaos Giannitsis, Rice University. Oleg A. Igoshin, Rice University. Krešimir Josić, University of Houston.
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 1, 2023; 10:35 am

Mathematical models of self-organized patterning of stem cells

Development of an organism from a single celled zygote is a highly complicated process which consists of division of cells and specialized differentiation. Due to the difficulties posed by direct observations in vivo, mathematical modeling is an important component of studies concerning embryonic development. I will describe a reaction-diffusion model for [Read More...]

Presenter: Prajakta Bedekar, Johns Hopkins University
Authors: Prajakta Bedekar, Mikhail Perepelitsa, and Ilya Timofeyev.
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 1, 2023; 11:00 am

Semigroup Generation for a Coupled Biot-Stokes Filtration System

Poro-elastic dynamics, in the case of 3D bulk elasticity as well as 2D plate models, have received recent interest in their application to biological models of tissues. The intrinsic nature of most biological tissues is both porous and elastic, whose dynamics suggests a filtration system---that is, a 3D incompressible Stokes flow running adjacent to a [Read More...]

Presenter: Elena Gurvich, UMBC
Authors: Elena Gurvich, Justin Webster
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 2, 2023; 8:30 am

Analysis of a multiscale interface coupling between fluid flow in deformable porous media and a lumped hydraulic circuit

We consider a multiscale interface coupling between a 3D partial differential equations system modeling fluid flow in deformable porous media and an ordinary differential equation modeling a lumped hydraulic circuit that accounts for the global features of the problem. The main application of interest is tissue perfusion. We provide recent results related to [Read More...]

Presenter: Matthew Broussard, North Carolina State University
Authors: Matthew Broussard
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 2, 2023; 8:55 am

Optimal Control in Poroelasticity with State Constraints

We consider an optimal control problem with state constraints, subject to a linear poro-elastic model with applications to fluid flows through biological tissues. We aim to optimize the fluid pressure using distributed control, and we discuss results on the existence of optimal control and the associated necessary optimality [Read More...]

Presenter: Evangelia Ftaka, NC State University
Authors: Lorena Bociu, Sarah Strikwerda, Evangelia Ftaka
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 2, 2023; 9:20 am

A discussion of future directions and challenges facing researchers in mathematical biology today

The session will conclude with a discussion that looks to the future of the field. Emerging motivation for new work in mathematical biology will be discussed, including healthcare challenges and an explosion of available data. We will discuss the advantages of current approaches, including their ability to develop large-scale predictions, patient-specific [Read More...]

Presenter: Rayanne Luke, George Mason University
Authors: Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar
Symposium Year: 2023
Session: Early Career Researchers in Mathematical Biology and Differential Equations [Organized by Rayanne Luke, Sarah Strikwerda, and Prajakta Bedekar]
Presentation Time: October 2, 2023; 9:45 am