TY - JOUR

T1 - Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis

AU - Tagiltsev, Igor I.

AU - Parshin, Daniil V.

AU - Shutov, Alexey V.

N1 - Funding Information: Acknowledgements. The reported study was funded by RFBR, project number 20-31-90068. The authors are grateful to M.B. Vasil’eva from Meshalkin National Medical Research Center (Novosibirsk, Russia) for the micro-photograph of the vessel. Publisher Copyright: © 2022 The authors. Published by EDP Sciences.

PY - 2022

Y1 - 2022

N2 - Blood vessels exhibit highly nonlinear, anisotropic behaviour with numerous mechanical interactions. Since exact modelling of all involved effects would yield a computationally prohibitive procedure, a practical clinical simulation tool needs to account for a minimum threshold of relevant factors. In this study, we analyse needed modelling assumptions for a reliable simulation of the end-to-side anastomosis. The artery wall is modelled in a geometrically exact setting as a pre-stressed fibre-reinforced composite. The study focuses on the sensitivity analysis of post-anastomosis stress fields concerning the modelling assumptions. Toward that end, a set of full-scale finite element simulations is carried out for three sensitivity cases: (i) The post-operational stresses are estimated with and without taking the residual stresses into account, (ii) Different geometries of the cut in the recipient vessel are examined, (iii) The influence of errors in material stiffness identification on the post-operational stress field is estimated. The studied cases (i)-(iii) have shown a substantial impact of the considered modelling assumptions on the predictive capabilities of the simulation. Approaches to more accurate predictions of post-operational stress distribution are outlined, and a quest for more accurate experimental procedures is made. As a by-product, the occurrence of the pseudo-aneurysm is explained.

AB - Blood vessels exhibit highly nonlinear, anisotropic behaviour with numerous mechanical interactions. Since exact modelling of all involved effects would yield a computationally prohibitive procedure, a practical clinical simulation tool needs to account for a minimum threshold of relevant factors. In this study, we analyse needed modelling assumptions for a reliable simulation of the end-to-side anastomosis. The artery wall is modelled in a geometrically exact setting as a pre-stressed fibre-reinforced composite. The study focuses on the sensitivity analysis of post-anastomosis stress fields concerning the modelling assumptions. Toward that end, a set of full-scale finite element simulations is carried out for three sensitivity cases: (i) The post-operational stresses are estimated with and without taking the residual stresses into account, (ii) Different geometries of the cut in the recipient vessel are examined, (iii) The influence of errors in material stiffness identification on the post-operational stress field is estimated. The studied cases (i)-(iii) have shown a substantial impact of the considered modelling assumptions on the predictive capabilities of the simulation. Approaches to more accurate predictions of post-operational stress distribution are outlined, and a quest for more accurate experimental procedures is made. As a by-product, the occurrence of the pseudo-aneurysm is explained.

KW - Anastomosis

KW - Anisotropic hyperelasticity

KW - Cut geometry

KW - Experimental errors

KW - Residual stress

UR - http://www.scopus.com/inward/record.url?scp=85134546207&partnerID=8YFLogxK

U2 - 10.1051/mmnp/2022022

DO - 10.1051/mmnp/2022022

M3 - Article

AN - SCOPUS:85134546207

VL - 17

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

SN - 0973-5348

M1 - 20

ER -