Conception assistée par une analyse de sensibilité globale d’une plate-forme dédiée à la recherche en thérapie photodynamique

A global sensitivity analysis is applied to a dynamic model of the phototoxicity induced by the photodynamic therapy. The objective is to determine which output variables could be sufficiently informative with respect to certain biological parameters characterizing the efficiency of the photosensitizing agents. This information will assist the engineer in designing a research platform devoted to this therapy. The used sensitivity analysis relies on a functional decomposition of the output variance associated with a space-filling design of numerical experiments based on an LPt Sobol' sequence. The latter was numerically implemented by parallel computations on a multicore computer. The relevance of a model parameter is assessed by a hierarchical classification of the magnitude of the sensitivity functions, followed by their colinearity analysis. In conclusion, this analysis allowed us to choose an architecture able of measuring intra-tumor concentrations of the photosensitizing agent and oxygen. These two measurements could allow the estimation of three photophysical parameters characterizing the photodynamic efficiency of the therapeutic agent.

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