Overview
Electroporation-Mediated Drug and Gene Delivery
Electroporation refers to the creation of small (1-40 nm) pores in the lipid bilayer of the membrane in response to large electric shocks. Electroporation occurs as an undesirable side effect in accidental contacts with high voltage wires or when defibrillation shocks are applied to the heart to prevent sudden cardiac death. However, electroporation has also important applications in biotechnology, as pores allow the introduction of drugs and DNA into cells. Still, this technique is largely empirical and the results are often variable and difficult to control. Our research in this area concentrates on the development of a model of electroporation that would allow theoretical investigation of the creation of pores during the shock, the flow of ions, drugs, and DNA through pores, and the resulting changes in intracellular concentrations.
Nonlinear Dynamics Approach to Cardiac Arrhythmias
Cardiac arrhythmias, serious and potentially fatal diseases, can only rarely be successfully controlled with medication. The only available treatment is defibrillation, the delivery of a large electric shock. Such shocks often have serious side effects. Our research investigates the feasibility of alternative treatments for cardiac tachyarrhythmias that instead of large shocks use an appropriately timed train of small pulses. The approach is based on the feedback protocols that have been developed to control the dynamics of complex nonlinear systems and involves animal experiments, mathematical modeling, and computer simulations. These studies allow us to gain a better insight into the dynamics of cardiac rhythm and to assess the feasibility of bringing an episode of arrhythmia under control, terminate it, or even inhibit its occurrence.
Current Appointments & Affiliations
Recent Publications
Feasibility of non-invasive determination of the stability of propagation reserve in patients
Journal Article Computing in Cardiology · December 1, 2012 This study investigates the feasibility of using surface ECG recordings to assess stability of cardiac propagation. Our novel method customizes a reaction-diffusion model of cardiac excitation using measurements of patient's repolarization dynamics. The cu ... CiteAsymptotic model of electrical stimulation of nerve fibers.
Journal Article Medical & biological engineering & computing · March 2012 We present a novel theory and computational algorithm for modeling electrical stimulation of nerve fibers in three dimensions. Our approach uses singular perturbation to separate the full 3D boundary value problem into a set of 2D "transverse" problems cou ... Full text CiteTheory of electroporation
Journal Article · December 1, 2009 Experiments conducted on artificial bilayers, suspensions of vesicles or cells, and tissues have demonstrated that a large, externally induced transmembrane potential (V m) causes an increase in the conductivity of the membrane by five to six or ... Full text CiteRecent Grants
Border-Collision Bifurcations in Cardiac Muscle
ResearchCo-Principal Investigator · Awarded by National Science Foundation · 2006 - 2009Modeling Electroporation-Mediated DNA Delivery
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2004 - 2008Stability of Cardiac Response to Rapid Pacing
ResearchPrincipal Investigator · Awarded by National Institutes of Health · 2003 - 2008View All Grants