A fast method for solving a linear model of one-dimensional blood flow in a viscoelastic arterial tree

izvorni znanstveni rad

izvorni znanstveni rad

A fast method for solving a linear model of one-dimensional blood flow in a viscoelastic arterial tree

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2017
Časopis Proceedings of the institution of mechanical engineers part h-journal of engineering in medicine
Nadređena publikacija Proceedings of the Institution of Mechanical Engineers. Part H: Journal of Engineering in Medicine
Volumen 231
Svesčić 3
Stranice str. 203-212
DOI 10.1177/0954411916688718
ISSN 0954-4119
EISSN 2041-3033
Status objavljeno

Sažetak

For the purpose of optimization of the whole arterial tree, a fast method for solving of one-dimensional model of blood flow is required. A semi-analytic transmission line method for solving a linearized one-dimensional model of blood flow in an arterial tree with viscoelastic walls is proposed. The transmission line method that solves the linearized model in the frequency domain and the method of characteristics that solves either linearized or non-linear one-dimensional models in the time domain are compared regarding accuracy and computational time. For this purpose, the benchmark problem of a 37- artery network with available experimental data is used. In the case of the linearized model, the results from the transmission line method and the method of characteristics are practically the same. The difference between the transmission line method solution of the linearized model and the method of characteristics solution of the non-linear model is much smaller than the error of either method of characteristics or transmission line method numerical solutions with respect to the experimental data. For typical applications, the transmission line method is at least two orders of magnitude faster than the method of characteristics.

Ključne riječi

Voigt model, non-linear versus linearized model, frequency versus time domain, computational time, cardiovascular system mechanics