Speaker 1: Alexanderia Lacy, UTK
Title: Solving Optimal Control Problems with the Foward-Backward Sweep Algorithms
Forward-Backward Sweep is a method used to solve optimal control problems numerically. To solve for an optimal control numerically, we can solve the optimality system consisting of the state and adjoint ODEs with the optimal control characterization. To solve the state and adjoint ODEs, the Runge-Kutta 4 method may be used to solve the state forward in time and the adjoint backward in time. The Forward-Backward Sweep method for a generic Optimal Control Problem of an ODE will be presented. A PDE case of the Forward-Backward Sweep will also be illustrated using the Finite Difference method.
Speaker 2: Morganne Igoe, UTK
Title: Uncertainty and Sensitivity Analysis Applied to Biological Models
Uncertainties in the parameters of biological models are common due to uncertainty in the experimental data used to estimate the parameters and can impact the accuracy of the model results. Uncertainty and sensitivity analyses can help identify the effect of these uncertainties on the model. We will describe global uncertainty and sensitivity techniques which will allow us to identify all uncertainties, specifically Latin Hypercube Sampling (LHS) and the Partial Rank Correlation Coefficient (PRCC). We will then give an example of this technique applied to a discrete time age structured model of hantavirus among rodents.
Wednesday, November 18, 2020 at 4:45pm to 5:45pmVirtual Event