Search Research Symposium Abstracts

Effects of prey capture on the swimming and feeding performance of choanoflagellates

Choanoflagellates, eukaryotes that are important predators on bacteria in aquatic ecosystems, are used as a model system to study the evolution of animals from protozoan ancestors. The choanoflagellate, Salpingoeca rosetta, has a complex life cycle that includes unicellular and multicellular stages, provides a model system to study the consequences of [Read More...]

Presenter: Hoa Nguyen, Trinity University
Authors: Emma Ross (Trinity University), M.A.R. Koehl (University of California, Berkeley, Integrative Biology), Lisa Fauci (Tulane University, Mathematics), Ricardo Cortez (Tulane University, Mathematics)
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 18, 2022; 3:20 pm

Exploring Intracellular Dynamics and Underlying Mechanisms of Transport

Live cell imaging and single particle tracking techniques have become increasingly popular amongst the mathematical biology community. Lysosomes, known for endocytosis, phagocytic destruction, and autophagy, move about the cell along microtubules. Intracellular transport of lysosomes is carried out in membrane-bound vesicles through the use of motor [Read More...]

Presenter: Keisha Cook, Clemson University
Authors: Keisha Cook, Scott McKinley, Nathan Rayens, Christine Payne
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 18, 2022; 3:45 pm

Viscoelastic Effects on Emergent Oscillations of Elastic Filament Models with Motor Activity Regulation.*

It is well know that microorganisms, such as bacteria and eukaryotes, often move in intricate environments experiencing mechano-chemical dynamics. These environments consist of rheologically complex substances such as mucus and other biofilms that are more complicated than water. Spermatozoa (sperm), for example, swim in viscoelastic mucus via deformations [Read More...]

Presenter: Kathryn G. Link, University of California, Davis
Authors: Sophia Nelson, Becca Thomases, Robert D. Guy
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 18, 2022; 4:10 pm

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 platelets express binding sites for procoagulant species, and platelet surface-bound complexes convert zymogen prothrombin into enzyme [Read More...]

Presenter: Anna C. Nelson, Duke University
Authors: Anna C. Nelson, Aaron L. Fogelson
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 19, 2022; 8:50 am

Traveling waves and cardiac arrhythmias: Investigating the onset of abnormal heart rhythms with mathematical models

Within cardiac tissue, regular cardiac function is characterized by coherent, periodic traveling waves of electrical activity that drive heart beats. When this process goes awry, the ensuing abnormal and irregular rhythms are known as arrhythmias. Arrhythmias are common and can be life-threatening. Therefore, it is crucial to understand the existence and [Read More...]

Presenter: Stephanie Dodson, University of California Davis
Authors: Stephanie Dodson, Timothy Lewis
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 19, 2022; 9:15 am

The Role of Infection on Shifts in Population Cycles in a Discrete-Time Epidemic Model

One-dimensional discrete-time population models, such as for logistic or Ricker growth, exhibit periodic and chaotic dynamics. Adding epidemiological interactions into the system increases its dimension and the resulting complexity of its behaviors. Previous work showed that while a discrete SIR model with Ricker growth exhibits qualitatively [Read More...]

Presenter: Laura F. Strube, Virginia Tech
Authors: Laura F. Strube, Ryan H. Hughes, and Lauren M. Childs
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 19, 2022; 9:40 am

Modelling feedback between ecological foodwebs and social decisions

Ecosystems are impacted in a multitude of ways by human behavior. However, human behavior is driven by individual decision-making, which is in turn shaped by complex interactions between people as they exchange ideas. The types of ideas people exchange are also informed by the existing impacts of human behavior. Because of this, changes in human behavior [Read More...]

Presenter: Amanda Laubmeier, Texas Tech University
Authors: Luis Mata, Amanda Laubmeier, Fanqi Zeng, Marilia Bergamo, Stefani Crabtree
Symposium Year: 2022
Session: Recent Advances in Mathematical Biology
Presentation Time: June 19, 2022; 10:05 am