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Research
Distributed Parameter Systems
My research work is concentrated on the development of advanced control formulations for distributed parameter systems modeled by linear and nonlinear PDE systems within the chemical engineering area that address the issues of uncertainty, robustness of controller design and constraints handling. In particular, realizable optimal control formulations have been developed in order to address important aspects of actuator constraints (constraints with respect to capacity of actuator and/or spatial location of actuator implementation), state/output constraints (ability of control configuration to satisfy constraints), state constraints and optimality of the control law with respect to actuator/sensor configuration. Classical and modern control controller realizations are merged and demonstrated in the process systems which are of industrial interest.
Biological Systems
Within the area of biological systems, research considers investigation of excitable media which are the signature of a complex system behavior describing underlying mechanisms of inter and intra cell signaling and muscle contraction. In particular, a wide variety of geometrically complex spatio-temporal phenomena, of which the most recognizable and striking are the rotating spiral waves, are explored from the point of design and control of wave propagation patterns. The feedback controlled dynamics of meandering spiral waves which is considered as one of the possible mechanisms of cardiac fibrillation undergoes thorough investigation in the light of cardiac muscle dynamics, as it can be viewed as a path to the prevention and annihilation of the reentering spiral waves in the heart muscle. Feedback structure is used to move the tip of randomly meandering spiral wave in the center of the medium.
Cardiac Systems
Large scale simulations of anatomical tissue can reveal the nature of propagation of the electrical wave in the myocardium. In this area, development of the FEM (Finite Element Method) and FDM (Finite Difference Method) is performed in order to obtain realistic evolution of electric activity in monodomain tissue. Other research efforts consider development of pacing protocols for the stabilization of detrimental arrhythmias. Images of virtual rabbit heart geometry; (A). Image of constructed surface with meshing points;(B). Images of fibers; (C). Electric wave propagation in rabbit ventricular muscle;
(A) (B) (C)
This site was last updated 08/08/07