RESEARCH
(Giving a Stokes flow fluids demo at a Science Expo
for elementary school kids and their parents)
Most of our research falls under the umbrella of mathematical biology. Our lab collaborates with undergraduate and graduate students, postdocs, and faculty researchers across many disciplines, ranging from mathematics, engineering, pathology and laboratory medicine, biology, and physics.
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Our focus is in biomechanics, mathematical physiology, and numerical methods for PDE. Currently we have been creating and analyzing models in aquatic locomotion using machine learning techniques, while developing software tools for the greater scientific community. To explore these, we couple mathematical modeling and simulation to both physical and organismal experiments in more traditional laboratory settings.
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If you are an undergrad and interested in possibly working together on a project or chatting about research, please send me an email!
Jason Miles presenting his research poster titled, "Don't Be Jelly: Modeling efficient swimmers" at the Celebration of Student Achievement at TCNJ!
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Tubular Heart Pumping
Comparing methods of tubular pumping (impedance vs. peristaltic pumps) across various fluid regimes, with the addition of underlying electrophysiology, in both vertebrate and invertebrate tubular hearts.
Ventricular Flows Across Complex Morphologies
Understanding how trabeculation affects cardiac flows within embryonic zebrafish ventricles, in particular how trabeculation affects the force (shear stress or pressure) distributions heart morphogenesis progresses.
IB2d
The development of fluid-structure interaction and CFD software that reduces the standard learning curve when entering the field, written in both MATLAB and Python.
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Download Here: IB2d
CURRENT PROJECTS
Group Behavior
The study of groups in terms of their locomotion (swimming) or feeding (pulsing) behaviors to understand the benefits of working together. In particular exploring those benefits across various fluid regimes.
Manueverability
Understanding how organisms manuever around objects, in particular, how jellyfish asymmetrically contract their bells to turn while swimming.
VAWT Configurations
VAWT windfarms are cheaper to create in areas, which experience continual wind patterns; however, are too desolate to construct large HAWT windfarms. Our focus is to investigate optimal VAWT configurations.
Heroin/Opioid Epidemic
Studying the spread of ​illicit drugs within a community across various populations, including non-users, light users, heavy users, and successfully rehabbed users, using continuous and discrete dynamics systems and statistics.
Weightlifting Biomechanics
Exploring how to move a mass in a constrained dynamical system, either by minimizing the total energy expenditure or total torque on the system, while incorporating both patient prescribed range of motion of joints and strength abilities.
Bingo!
Using the game of bingo to illustrate to high school students and non-mathematically-interested students how mathematics can be used to figure out probability distributions, expected values, and find solutions to questions on theoretical perturbations in games.
For a list of our publications, books, or scientific computing notes, please click here:
