Influence of random uncertainties of anisotropic fibrous model parameters on arterial pressure estimation
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This paper deals with a stochastic approach based on the principle of the maximum entropy to investigate the effect of the parameter random uncertainties on the arterial pressure. Motivated by a hyperelastic, anisotropic, and incompressible constitutive law with fiber families, the uncertain parameters describing the mechanical behavior are considered. Based on the available information, the probability density functions are attributed to every random variable to describe the dispersion of the model parameters. Numerous realizations are carried out, and the corresponding arterial pressure results are compared with the human non-invasive clinical data recorded over a mean cardiac cycle. Furthermore, the Monte Carlo simulations are performed, the convergence of the probabilistic model is proven. The different realizations are useful to define a reliable confidence region, in which the probability to have a realization is equal to 95%. It is shown through the obtained results that the error in the estimation of the arterial pressure can reach 35% when the estimation of the model parameters is subjected to an uncertainty ratio of 5%. Finally, a sensitivity analysis is performed to identify the constitutive law relevant parameters for better understanding and characterization of the arterial wall mechanical behaviors.
Key wordsarterial pressure non-invasive clinical data hyperelasticity anisotropy random confidence region
Chinese Library ClassificationO343.5
2010 Mathematics Subject Classification74B20
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- Fung, Y. C. Biomechanics: Mechanical Properties of Living Tissues, 2nd ed., Springer, New York (1993)Google Scholar
- Humphrey, J. D. Cardi Ovascular Solid Mechanics: Cells, Tissues, and Organs, Springer-Verlag, New York (2002)Google Scholar
- Chobanian, A. V., Bakris, G. L., Black, H. R., Cushman, W. C., Green, L. A., Izzo, J. L., Jones, D. W., Materson, B. J., Oparil, S., Wright, J. T., Roccella, E. J., and the National High Blood Pressure Education Program Coordinating Committee. Seventh report of the Joint National Committee on prevention, detection, evaluation, and treatment of high blood pressure. Hypertension, 42, 1206–1252 (2003)CrossRefGoogle Scholar