Home

About Me: I'm currently a postdoc at The Mathematical Biosciences Institute at The Ohio State University. I received my PhD in Mathematics in August 2017 under the supervision of Emmanuele DiBenedetto at Vanderbilt University. My biomathematical research interests have focused on spatio-temporal, finite element models of protein diffusion in cell membranes and a multi-scale finite element model of visual transduction in rod and cone photoreceptor cells. This model couples vision's G-protein mediated activation cascade with the resultant 2nd messenger diffusion of cGMP and Ca2+. My classical math interests have been in interior regularity of parabolic partial differential equations of p-Laplacian type and in a parabolic variational formulation of the total variation flow, as well as applications of homogenization and concentrated capacity to parabolic pde's over multi-scale domains.

Since 2017, I have also been collaborating with the Sotomayor research lab at OSU on hearing transduction. This has inspired a new (concentrated capacity) multiscale-PDE's model of proteins where the latter are modeled as intrinsically 1d, knotted curves in 3d space that advect the surrounding solvent by their own motion. The aim is to explore a novel dynamic, implicit solvent framework for molecular dynamics (MD).

In these and other projects, I am also using Bayesian inference and Markov Chain Monte Carlo for uncertainty quantification of model parameters in evolution equations.

Contact:

Jennings Hall, Room 381

email: klaus.68[at]mbi.osu.edu

1735 Neil Avenue

Columbus, OH, 43210