Research

The overarching theme of my research has been creating and analyzing mathematical models for problems arising in biology, and validating the same with numerical methods. 

I have worked on questions arising from mathematical biology, fluid dynamics and spring mechanics.  Please see my CV for a selected list.

My current work revolves around creating better classification schemes for time-dependent antibody levels, using conditional probability models and optimization. This work has implications for decision-making pertaining to vaccination timings for emerging diseases. 

I am also working on projects focusing on uncertainty deconvolution pertaining to measurements obtained using cytometry. A better separation of instrument uncertainties can help classify the biological samples better, leading to enhanced cancer diagnostics. 

Focus of my PhD dissertation was the design of coupled partial differential equation models with appropriate boundary conditions as well as using analytical and numerical methods to derive properties of the solutions.