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Management of Biological Systems Utilizing Mathematical Analysis and Numerical Simulations

Often when building a model and exploring a biological question, we consider how to implement management options and what is the best way to optimize. There are many different methods for incorporating management into a model, we will focus on aspects of control theory. For the talk, we take a model of an invasive pest using nonlinear positive difference [Read More...]

Presenter: Christina J. Edholm, Scripps College
Authors: Chris Guiver, Richard Rebarer, Brigitte Tenhumberg, Stuart Townley,
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: September 30, 2023; 9:45 am

Practical Identifiability of Epidemiological Models

When estimating model parameters it is crucial to investigate whether, given a model and accompanying data, parameters can be uniquely recovered; that is, whether model parameters are identifiable. The emphasis of this talk will be on practical identifiability, its relationship with available data, and the methods used to assess it. I will first demonstrate [Read More...]

Presenter: Chiara Mattamira, University of Tennessee, Knoxville
Authors: Chiara Mattamira and Olivia Prosper
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: September 30, 2023; 10:10 am

A within-host model for the pharmacokinetics and pharmacodynamics of malaria

Malaria is a significant public health concern, especially as the increasing presence of drug resistance creates challenges for control efforts. Over the last several decades, mathematical modeling has been used to gain insight into the within-host dynamics of malaria parasites. Within the human host, the parasite undergoes several life stages, including an [Read More...]

Presenter: Jordan Pellett, University of Tennessee, Knoxville
Authors: Jordan Pellett and Dr. Olivia Prosper
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: September 30, 2023; 10:35 am

Extended-release Pre-Exposure Prophylaxis and Drug Resistant HIV

The extended pharmacological effects of long-acting cabotegravir (CAB-LA), an injectable pre-exposure prophylaxis (PrEP), allow for prolonged intervals between injections. However, there is concern that this treatment approach may promote the proliferation of drug-resistant strains of the human immunodeficiency virus (HIV) during the initial stage of [Read More...]

Presenter: Yeona Kang, Howard University
Authors: Yeona Kang, Yanping Ma, Angelica Davenport, Jennifer Aduamah, Kathryn Link and Katharine Gurski
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: September 30, 2023; 11:00 am

Analysis of a competitive reaction-diffusion population dynamics model with density dependent dispersal on the boundary

We study a competitive reaction-diffusion population dynamics model with density dependent dispersal on the boundary. To analyze the model using computational methods in one dimension we take positive and negative density dependent dispersals separately. Namely, for positive density dependent dispersal case. We obtain bifurcation curves using the combination [Read More...]

Presenter: Shalmali Bandyopadhyay, University of Tennessee Martin
Authors: Ananta Acharya, Amila Muthunayake, Jerome Goddard II, Ratnasingham Shivaji
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: October 1, 2023; 9:45 am

Complexities of the Cytoskeleton: Integration of Scales

Biological systems are traditionally studied as isolated processes (e.g. regulatory pathways, motor protein dynamics, transport of organelles, etc.). Although more recent approaches have been developed to study whole cell dynamics, integrating knowledge across biological levels remains largely unexplored. In experimental processes, we assume that the state [Read More...]

Presenter: Keisha Cook, Clemson University
Authors: Keisha Cook
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: October 1, 2023; 10:10 am

Computational models of pulmonary mechanics in the preterm infant

Respiratory distress in the newborn, a condition characterized by difficulty breathing, occurs in about 7% of newborns. Non-invasive ventilation has become the preferred method of respiratory support for these infants but often fails in extremely preterm infants (< 26 weeks gestation) despite surfactant treatment, leading to traditional mechanical [Read More...]

Presenter: Laura Ellwein Fix, Virginia Commonwealth University
Authors: Laura Ellwein Fix
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: October 1, 2023; 10:35 am

Flexible Vaccine Ideology for Infectious Disease Models

The introduction of COVID-19 vaccines showed that the mere availability of vaccination was not enough to stem the pandemic. In 2022, Ledder introduced the PUIRU model, incorporating ideological effects into the SIR model by splitting the susceptible population into two subpopulations: Pre-vaccinated P (willing to obtain the vaccine but not yet vaccinated) [Read More...]

Presenter: Yi (Jacky) Jiang and Jane HyoJin Lee, Southern Illinois University Edwardsville and Stonehill College
Authors: Daniel Cicala, Yi Jiang, Kristin Kurianski, Glenn Ledder, Jane Lee, and Yanping Ma
Symposium Year: 2023
Session: Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]
Presentation Time: October 1, 2023; 11:00 am

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