New ideas for solving identification and optimal control problems related to biomedical systems

Many bio-medical models lead to differential systems where some parameters have to be identified from partial observation on the system's solution. For two- or three-compartment models parameters to be identified can be explicitly calculated (when uniqueness is ensured) from the algebraic relation obtained by using classical methods. However, when the number of compartments is greater than three, numerical techniques are necessary. In this work we propose new numerical methods based on Adomian's method for solving identification and optimal control problems associated to biomedical systems.