I extended the kinetic theory of dilute polymer solutions under external fields to include finite-chain extensibility, and to properly account for wall-inducedhydrodynamic interactions. I developed formulas for the scaling of the depletion layer with the Peclet number and for the variation of molecular stretch and normal stresses; I also derived migration tensors for the Green’s…
During my early PhD studies I focused on molecular dynamics simulations of DNA in Gromacs and an efficient implementation of multigrid methods. Later, I started developing a C++/Fortran code to model the transport of biomolecules in micro-devices under elektrokinetic flows. I developed anovel hybrid method that combines Langevin dynamics for a bead-spring DNA model, and…
This work focused on the theoretical analysis of a prototype device for dielectrophoretic particle separation reported in the literature. Motivated by the effort to minimize the number of adjustable parameters used by the original authors, I quantified the electrophoretic, dielectrophoretic and electroosmotic effects more precisely using a multipole expansion. For details, see the appendix of…
We study maximum likelihood estimates applied to image processing, with focus on robust and efficient de-noising of medical images produced by nuclear magnetic resonance.
We developed a control and stabilization scheme for a non-linear, unstable magnetic levitation system, using linearization methods and Lyapunov stability concepts. Czech version only.
As part of developing artificial intelligence proof-of-concepts, we analyzed the feasibility of using a fuzzy-logic controller for the dynamic management of traffic lights at road intersections.
