Research
My research interests lie in applied mathematics, fluid dynamics, and mathematical modeling, with applications to microfluidics, biological fluid mechanics, and deformable cells. My work combines asymptotic analysis, computational modeling, and scientific computing to study complex fluid-structure interactions and transport phenomena.
I developed a hybrid numerical and asymptotic model for inertial migration of a sphere in a rectangular channel. The resulting model showed strong agreement with experimental observations and informed a model of pairwise dynamics in microfluidic crystals.
To understand how marine crustaceans use their hairy appendages for sensing and feeding, I modeled the flow past hairy surfaces.
I am developing a reduced-order model for the family of constant-volume shapes a mammalian cell can take in microfluidic devices, using spherical harmonics to represent cell shapes.
Matlab code for the inertial lift force on a particle in rectangular channels with aspect ratios AR = 1, 2, 4, 8, and 9 is available on GitHub.
Mathematica code for computing Lamb's solution external to a sphere is also available on GitHub.
HoodFlowLab on GitHub hosts the most recent code for modeling deformable cells using spherical harmonics.
If you are interested in getting involved in undergraduate research in mathematics, explore:
Due to current advising commitments, I am not currently taking additional undergraduate research students.
I have mentored undergraduate students in applied mathematics and computational modeling projects involving fluid mechanics, scientific computing, and deformable cell dynamics.
Project: Modeling a Deformable Ellipse in Shear Flow using IB2d.