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Full-Text Articles in Control Theory
Reduced Order Modeling And Analysis Of Cardiac Chaos, Tuhin Subhra Das
Reduced Order Modeling And Analysis Of Cardiac Chaos, Tuhin Subhra Das
Doctoral Dissertations
Numerous physiological processes are functioning at the level of cells, tissues and organs in the human body, out of which some are oscillatory and some are non-oscillatory. Networks of coupled oscillators are widely studied in the modeling of oscillatory or rhythmical physiological processes. Phase-isostable reduction is an emerging model reduction strategy that can be used to accurately replicate nonlinear behaviors in dynamical systems for which standard phase reduction techniques fail. We apply strategies of phase reduction, or isostable reductions in biologically motivated problems like eliminating cardiac alternans to alleviate arrhythmia by applying energy-optimal, non-feedback type control solutions.
Cardiac fibrillation caused …
Anthrax Models Involving Immunology, Epidemiology And Controls, Buddhi Raj Pantha
Anthrax Models Involving Immunology, Epidemiology And Controls, Buddhi Raj Pantha
Doctoral Dissertations
This dissertation is divided in two parts. Chapters 2 and 3 consider the use of optimal control theory in an anthrax epidemiological model. Models consisting system of ordinary differential equations (ODEs) and partial differential differential equations (PDEs) are considered to describe the dynamics of infection spread. Two controls, vaccination and disposal of infected carcasses, are considered and their optimal management strategies are investigated. Chapter 4 consists modeling early host pathogen interaction in an inhalational anthrax infection which consists a system of ODEs that describes early dynamics of bacteria-phagocytic cell interaction associated to an inhalational anthrax infection.
First we consider a …