Stochastic approach to estimate the arterial pressure

Anissa Eddhahak-Ouni , Ingrid Masson , Eric Allaire , Mustapha Zidi

The aim of this paper is to illustrate the application of a stochastic approach to estimate the human common carotid arterial pressure. The analysis took into account the possible random uncertainties of the problem inputs such as geometric information and mechanical model parameters so that it is called a probabilistic parametric approach. Based on the only available information reported in literature, entropy maximum principle was used to develop probabilistic density functions for every random variable. In addition, in vivo human experimental data were considered for the determination of the so-called mean or deterministic model. Furthermore, numerical simulations of Monte Carlo were carried out involving the dispersion of all the uncertain parameters. Results showed that uncertainty of 5% led to error up to 20% in the arterial pressure estimation. Convergence was proved and a region with a confidence probability of 95% was constructed to allow the prediction of the random response of the arterial pressure. Eventually, we managed numerous calculations to analyze the influence of each random variable of the problem inputs over the arterial pressure evolution.

Mots clés: Stochastic; Arterial pressure; Hyperelastic material; Maximum entropy principle

Anissa Eddhahak-Ouni, Ingrid Masson, Eric Allaire, Mustapha Zidi. Stochastic approach to estimate the arterial pressure. European Journal of Mechanics - A/Solids, 2010, 28 (4), pp.712. ⟨10.1016/j.euromechsol.2009.02.009⟩. ⟨hal-00617073⟩