Biomedical subjects
Publications and source records attributed to K Abbaoui.
The decomposition method solves a wide class of nonlinear functional equations. This method uses a series solution with rapid convergence. This paper is intended as a useful review and clarification of related issues.
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.