From inversion processes optimization to model optimization.

The present work traces a path in the context of inverse problems, within a more general framework of complex systems. In our case, the inverse problem originates from the need to interpret indirect physical measurements of an object of interest. Moving in this area two cases are brought to the attention. The first is the estimation of the parameters of a mathematical model, based on a comparison with experimental measurements. The second tries to identify what it might be called the "best model" that takes into account the experimental behavior recorded in various situations of interest. The first case relates to the recovery of the fluorescence and reflectance of maize chlorophyll. The second case addressed concerns the development of a model that takes into account the effects of silanization in aggregates and dispersed laser-activatable gold nanorods.