Research Experience
Using Differential Equations to Model Heavy Metal Bioaccumulation as part of SCUDEM IX Challenge
PI: Youngmin Park
UF Department of Mathematics
10/2024-3/2025
Research Focus
In this study, conducted as part of SCUDEM IX Challenge, a nonlinear system of differential equations was developed to predict lead dynamics and bioaccumulation in the body. The model considers time-dependent lead concentrations in the GI tract M, bloodstream A, soft tissue S, and hard tissue H. Lead diffusion between systems follows logistic-based osmosis transport equations. Two primary consumption patterns, or inhomogeneities, were selected for test cases. The model surveyed a year period, additionally considering increased consumption for American holidays and birthdays.
Project Responsibilities
Study conducted with team of three undergraduates. Assisted background research for conceptualization of block diagram and selection of initial diffusion parameters. Determined reference values for test cases and input functions for model. Documented outputs from code for SCUDEM challenge and drafted publication for UF JUR.​
Erosion of Sediment Beds by Impinging Synthetic Jets
PI: Kamran Mohseni
UF Department of Mechanical and Aerospace Engineering
1/2025-Present
Research Focus
An ongoing study intends to survey the process of sediment bed erosion by impinging synthetic jets. The stroke ratio, effective jet velocity, impingement height, and sediment composition are to be altered to evaluate the erosion coefficient and resultant dynamic scour profile. Experimental results are intended to optimize actuator parameters for desired sediment scour characteristics and to further validate empirical relations developed for erosion by continuous jetting.
Project Responsibilities
Making appropriate alterations to previous actuator, namely redesigning mounting system to accommodate the load cell and desired rotation from the vertical axis. Constructing water tank and system to measure scour with high-speed camera. Collecting data for temporal scour based on actuator parameters. Intending to publish results as coauthor with PI.​
