Mohamed Laradji, PhD
Donald
Franceschetti, PhD
The
Computational Biophysics group is involved in many areas of computational
and theoretical modeling and simulation. Below are just a few examples
of ongoing projects. For more information, contact the researchers
listed above.
Diffusion
in Confined Geometries
The picture at the right shows a snapshot of a lipid vesicle formed
of two types of lipids embeded in a three-dimensional solvent. The
kinetics of the phase separation process is governed by the competition
between the interfacial tension between the two lipids regions and
bending rigidity of the lipid bilayer. Eventually a full phase separation
is achieved. This snapshot is obtained from a large scale simulation
of 1.5 million particles (lipids + solvent particles). The simulations
use the method of Dissipative Particle Dynamics of a molecular model."
Dr. Laradji has initiated a collaborative project between Dr. Laradji
and researchers at the Physics Laboratory of the Technical University
of Helsinky to investigate the diffusion of liposomes (lipid vesicles)
in confined geometries. See Faculty in the News for more information.
Structure
of Interfaces and Nanoparticles
The
performance of electrochemical sensors in biomedical applications
depends crucially on the characteristics of the space charge layers
formed on both sides of the interface with the sample as well as the
transport and storage of charged and uncharged species at the interface.
The electrical, mechanical, and other properties of nanoparticle composites
likewise depend on the space charge layers near the surfaces of the
component nanoparticles, with the interesting possibility that bulk
electroneutrality exists nowhere inside the particles.
Our
work is theoretical and computational. A theoretical baseline is provided
by solutions of the Nernst-Planck Poisson equation governed by boundary
conditions describing interfacial processes and possibly coupled to
diffusion equations for neutral reactants or products. This system
is well explored in one dimension but must be treated numerically
for two- and three- dimensional geometries, coupled to elastic distortions,
and corrected for discreteness of charge effects. In additional to
mathematical modeling of space charge structures, we have capabilities
for nonlinear least squares fitting and interpretation for impedance
measurements made on experimental systems.