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I am an applied mathematician with a wide range of research interests. Some of the tools I use in my research are partial differential equations, finite element and finite difference methods, stochastic simulation, and asymptotic analysis. My current areas of research are: Atherosclerosis and cardiovascular modeling: Mathematical descriptions of plaque growth, that involve the transport of cell and lipoprotein densities. Bloodflow, shear stress, and its effect on atherogenesis. Tissue and solid mechanics: Arterial mechanics, morphoelasticity and tissue growth, hyperelasticity. Parameter estimation in magnetic resonance imaging: Multiexponential fitting to infer component fractions in brain tissue. Inverse Problems. I am always interested in studying new problems and forming rewarding collaborations. If you feel you have a problem that could benefit from a mathematical collaborator, feel free to contact me by email: pakwing (at) udel (dot) edu.My curriculum vitae can be found here. |