Research Interests

Applied and Numerical Analysis of Partial Differential Equations
Deterministic and Stochastic Fluid-Structure Interaction
Modeling and Optimal Design of Vascular Prostheses (Stents)
Mathematical and Computational Modeling of Cell Encapsulation and Bioartificial Pancreas Design
Computational modeling of collective states in ensembles of magnetic colloidal suspensions
Microswimmers
Recent Research Grants

2024-2027 A comprehensive mathematical and computational framework for next generation stent design
Supported by NSF DMS-2408928

2022-2025 Collaborative Research: Mechanistic modeling of cell encapsulation
Supported by NSF DMS-2247000

2020-2023 A Computational Approach to the Design of a Bioartificial Pancreas
Supported by NSF DMS-22011319

2018-2021 Development of Mathematical Methods for Next Generation Stent Design
Supported by NSF DMS-1853340

2016-2018 Fluid-structure interaction with the Navier slip boundary condition
Supported by NSF DMS-1613757

2013-2017 COLLABORATIVE RESEARCH: Advancing the Diagnosis and Quantification of Mitral Valve Regurgitation with Mathematical Modeling
Supported juintly by NSF and NIH. NSF grant number: DMS-1263572

Last updated December 2024