Research Projects

The research aims to develop a rigorous design framework based on interval analysis for achieving desired specifications of steady state and transient response in biomolecular systems. The design principles are primarily integral feedback control and feedforward, as disturbances in biomolecular systems can affect many parameters, such as environmental perturbations like temperature. The hypothesis is to test the efficacy of interval methods in providing design solutions for nonlinear biomolecular systems. The main experiments will be carried out using Newton Iterations and Constraint Propagation, which are classical methods with advantages such as rigorous numerical constructions. The design problems involve specifying bounds on the steady state or transient response and obtaining intervals of parameters or dynamics that satisfy specifications. Design solutions for benchmark biomolecular systems will be obtained. The research has been theoretically analyzed, but some variations in the problem involving parametric dependencies require further theoretical development. The goal is to bridge the gap between theory and practice in nonlinear systems, addressing the gap between theory and practice. The research aims to provide design intuition and a rigorous link between theory and application, directly impacting the fundamental understanding of nonlinear design.