Chronic disease progression models are governed by two main parameters: preclinical intensity and sojourn time. The estimation of these parameters helps in optimizing screening programs (with an additional parameter: sensitivity the screens), we examine their effect improving survival. Multiple approaches exist for estimating parameters. However, based on strong underlying assumptions. Our aim ...

Time-dependent density-functional theory is mathematically formulated through nonlinear coupled time-dependent three-dimensional partial differential equations, and it natural to expect a strong sensitivity of its solutions variations the initial conditions, akin butterfly effect ubiquitous in classical dynamics. Since Schr\"odinger equation for an interacting many-body system is, however, line...

Standard power systems are modeled using differential-algebraic equations (DAE). Following a transient event, voltage collapse can occur as bifurcation of the load flow solutions. This results from states' trajectories reaching singular surface where causality is lost. Preventive controls such changes in AVR setpoints need to be taken enhance stability. To determine which actions most effective...