Poisson Boltzmann Equations
Between 2022-2025 I worked as a research assistant for Dr. Dexuan Xie on an NSF grant to develop computational models of Voltage Dependent Anion Channels (VDAC). We wrote a paper describing some electrostatic computations using finite elmenent codes Dr. Xie developed earlier, which was published in the Journal of Computational Chemistry. –>
I worked with Dr. Xie to develop “nonlocal” extensions of the traditional PB theory. We published a paper in the Journal of Computational and Applied Mathematics describing a nonlocal PB model for biomolecules in ionic solutions that include ion size effects. In my dissertation, I developed a nonlocal PB model for ion channels, such as VDAC.