Computational and Applied Mathematics
Overview: Optimization of therapies and vaccines have been performed integrating clinical observations and empirical knowledge from medical tests. A systematic approach that integrates a variety of medical research data is crucial to harness knowledge and to optimize therapies towards personalized medicine.
State of the art: Although the application of optimal theory could be a catalyzer for the development of therapies, a general solution for the optimal control problem is hard to find even numerically. It is necessary to either find particular solutions to reduced models or explore other strategies which guarantee suboptimal performance in more complex models.
Our research in Optimal Control Theory aims to: