121876 20241125101129.0 doi 10.3390/math11040829 sideral 132319 ART-2023-132319 eng Hernández-López, Patricia Universidad de Zaragoza (orcid)0000-0002-2360-8276 Understanding the Parameter Influence on Lesion Growth for a Mechanobiology Model of Atherosclerosis 2023 Access copy available to the general public Unrestricted In this work, we analyse the influence of the parameters of a mathematical model, previously proposed by the authors, for reproducing atheroma plaque in arteries. The model uses Navier–Stokes equations to calculate the blood flow along the lumen in a transient mode. It also uses Darcy’s law, Kedem–Katchalsky equations, and the three-pore model to simulate plasma and substance flows across the endothelium. The behaviours of all substances in the arterial wall are modelled with convection–diffusion–reaction equations, and finally, plaque growth is calculated. We consider a 2D geometry of a carotid artery, but the model can be extrapolated to other geometries or arteries, such as the coronaries or the aorta. A mono-variant sensitivity analysis of the model parameters was performed, with values of ±25% and ±10%, with respect to the values of the previous model. The results were analysed with respect to the volume in the plaque of foam cells (FC), synthetic smooth muscle cells (SSMC), and collagen fibre. It was observed that the volume in the plaque of the different substances (FC, SSMC, and collagen) has a strong influence on the results, so it could be used to analyse the vulnerability of plaque. The stenosis ratio of the plaque was also analysed, showing a strong influence on the results as well. Parameters that influence all the results considered when ranged ±10% are the rate of LDL degradation and the diffusion coefficients of LDL and monocytes in the arterial wall. Furthermore, it was observed that the change in the volume of foam cells in the plaque has a greater influence on the stenosis ratio than the change of synthetic smooth muscle cells or collagen fibre. info:eu-repo/grantAgreement/ES/DGA-FSE/T24-20R info:eu-repo/grantAgreement/ES/MICINN/BES-2017-080239 info:eu-repo/grantAgreement/ES/MICINN/PID2019-107517RB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.3 2023 MATHEMATICS 21 / 490 = 0.043 2023 Q1 T1 0.475 2023 Engineering (miscellaneous) 2023 Q2 Mathematics (miscellaneous) 2023 Q2 Computer Science (miscellaneous) 2023 Q2 4.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Martínez, Miguel A. Universidad de Zaragoza (orcid)0000-0002-8375-0354 Peña, Estefanía Universidad de Zaragoza (orcid)0000-0002-0664-5024 Cilla, Myriam Universidad de Zaragoza (orcid)0000-0002-8503-9291 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 11, 4 (2023), 829 [25 pp.] Mathematics (Basel) Mathematics 2227-7390 860878 http://zaguan.unizar.es/record/121876/files/texto_completo.pdf Versión publicada 2573866 http://zaguan.unizar.es/record/121876/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:121876 articulos driver 2024-11-22-11:58:25 ARTICLE