Adjoint Ensemble Methods for the Inverse Modeling of Biological Processes

The general inverse modeling framework based on the ensembles of the adjoint equation solutions is considered in the context of biomedical applications with the advection-diffusion-reaction models. The sensitivity relations and adjoin equations allow constructing the approximation of the inverse modeling problem in the form of the quasi-linear operator equation family. This approximation allows both solving and analyzing a wide range of biomedical inverse problems in a unified fashion.