Numerical simulation of aneurysms with Finite Element and Meshless Methods

Silva, J.L.; Belinha, J.; Neves, J.M.P.R.; Vilaca, I.R.S.B.S.; Jorge, R.M. Natal

doi:10.1109/enbeng.2019.8692459

Cited by 3 publications

(4 citation statements)

References 15 publications

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“…Santis et al [115], Suito et al [43] and Bols et al [32] explored the application of structured grids, which are known for reducing computational effort as it requires fewer elements to achieve convergence. Aricò et al [60] and Silva et al [61] implemented meshless models and reported significant reductions in computational effort. ROM was also suggested as an efficient technique to estimate haemodynamics accurately and reduce reporting time [48,53,117,118].…”

Section: Discussionmentioning

confidence: 99%

“…This method is suitable to model large boundary displacements, which may be useful to model aortic wall dynamics [59,60]. Galerkin weak formulation and polynomial shape functions are used to develop Radial Point Interpolation Method (RPIM) models [61]. These also do not require grid generation as the polynomial functions are created based on a group of arbitrary nodes distributed along the computational domain.…”

Section: Computational Techniques To Model Diseased Aortasmentioning

confidence: 99%

“…On meshing-related topics, Santis et al [115], Suito et al [43] and Bols et al [32] explored the application and generation of structured grids on patient-specific aortic models. Silva et al [61] compared the results of RPIM and FEM models of AAA. The results of both approaches were very similar.…”

Section: Novel Numerical Techniquesmentioning

confidence: 99%

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Computational Modelling and Simulation of Fluid Structure Interaction in Aortic Aneurysms: A Systematic Review and Discussion of the Clinical Potential

et al. 2022

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Aortic aneurysm is a cardiovascular disease related to the alteration of the aortic tissue. It is an important cause of death in developed countries, especially for older patients. The diagnosis and treatment of such pathology is performed according to guidelines, which suggest surgical or interventional (stenting) procedures for aneurysms with a maximum diameter above a critical threshold. Although conservative, this clinical approach is also not able to predict the risk of acute complications for every patient. In the last decade, there has been growing interest towards the development of advanced in silico aortic models, which may assist in clinical diagnosis, surgical procedure planning or the design and validation of medical devices. This paper details a comprehensive review of computational modelling and simulations of blood vessel interaction in aortic aneurysms and dissection, following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA). In particular, the following questions are addressed: “What mathematical models were applied to simulate the biomechanical behaviour of healthy and diseased aortas?” and “Why are these models not clinically implemented?”. Contemporary evidence proves that computational models are able to provide clinicians with additional, otherwise unavailable in vivo data and potentially identify patients who may benefit from earlier treatment. Notwithstanding the above, these tools are still not widely implemented, primarily due to low accuracy, an extensive reporting time and lack of numerical validation.

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Section: Discussionmentioning

confidence: 99%

Section: Computational Techniques To Model Diseased Aortasmentioning

confidence: 99%

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Computational Modelling and Simulation of Fluid Structure Interaction in Aortic Aneurysms: A Systematic Review and Discussion of the Clinical Potential

et al. 2022

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“…Traditional bio-mechanical computational methods, such as finite element simulations that consider factors like stress and strain of vessel wall, computational fluid dynamics simulations that analyze parameters like intra-vascular flow patterns and pressure, fluid-structure interaction simulations that simultaneously account for the interaction between blood and vessel wall, have been widely applied in the preoperative diagnosis of AAA [4][5][6] . However, most of these studies primarily qualitatively assessed the growth or rupture tendencies of AAA based on transient imaging data.…”

Section: Introductionmentioning

confidence: 99%

Preliminary establishment and validation of the inversion method for growth and remodeling parameters of patient-specific abdominal aortic aneurysms

Peng,

He,

Luan

et al. 2023

Preprint

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Background Traditional medical imaging studies and biomechanical researches have limitations in analyzing the long-term evolution process of AAA (Abdominal Aortic Aneurysm, AAA). The HCMT (Homogenized Constrained Mixture Theory, HCMT) allows for quantitative analysis of the changes of the three-dimensional morphology and composition of AAA. However, the accuracy of HCMT still requires further clinical verification. Objective This study aims to establish a patient-specific AAA growth model based on HCMT, simulate the long-term G&R (Growth and Remodeling G&R) process of AAA, and validate the feasibility and accuracy of the method using two additional AAA cases with 5 follow-up data. Methods The media and adventitia of the aorta were modeled as mixtures composed of elastin, collagen fibers, and SMC (smooth muscle cells, SMC). The strain energy function was used to describe the continuously generation and degradation of the mixture during the AAA G&R process. Multiple sets of growth parameters were applied to finite element simulations, and the simulation results were compared with the follow-up data for gradually selecting the optimal growth parameters. Two additional AAA patients with different growth rates were used for validating the method, the optimal growth parameters were obtained using the first two follow-up imaging data, and the growth model was applied to simulate the subsequent four time points. The differences between the simulated diameters and the follow-up diameters of AAA were compared to validate the accuracy of the growth model. Results The growth parameters, especially the stress-mediated substance deposition gain factor Kσi, is highly related to the AAA G&R process. When setting the optimal growth parameters to simulate AAA growth, the proportion of simulation results within the distance of less than 0.5 mm from the follow-up model is above 80%. For the validating cases, during the 5 follow-up processes, the mean difference rates between the simulated diameter and the real-world diameter are within 2.5%, which basically meets the clinical demand for quantitatively predicting the AAA growth in maximum diameters. Conclusion This study simulated the growth process of AAA, and validated the accuracy of this growth model. This method was proved to be used to predict the G&R process of AAA caused by dynamic changes in the mixtures of the AAA vessel wall at a long-term time scale, assisting accurately and quantitatively predicting the multi-dimensional morphological development and mixtures evolution process of AAA in clinic.

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Preliminary establishment and validation of the inversion method for growth and remodeling parameters of patient-specific abdominal aortic aneurysm

Peng,

He,

Luan

et al. 2024

Biomech Model Mechanobiol

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Numerical simulation of aneurysms with Finite Element and Meshless Methods

Cited by 3 publications

References 15 publications

Computational Modelling and Simulation of Fluid Structure Interaction in Aortic Aneurysms: A Systematic Review and Discussion of the Clinical Potential

Computational Modelling and Simulation of Fluid Structure Interaction in Aortic Aneurysms: A Systematic Review and Discussion of the Clinical Potential

Preliminary establishment and validation of the inversion method for growth and remodeling parameters of patient-specific abdominal aortic aneurysms

Preliminary establishment and validation of the inversion method for growth and remodeling parameters of patient-specific abdominal aortic aneurysm

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