Hemodynamic Overlap Between Ruptured and Unruptured Cerebral Aneurysms Using an In-House Parallel C++ Finite Element Solver

Mohammadreza Soltany Sadrabadi; Reza Bozorgpour

arxiv: 2606.00072 · v1 · pith:YFHZO743new · submitted 2026-05-20 · ⚛️ physics.med-ph

Hemodynamic Overlap Between Ruptured and Unruptured Cerebral Aneurysms Using an In-House Parallel C++ Finite Element Solver

Reza Bozorgpour , Mohammadreza Soltany Sadrabadi This is my paper

Pith reviewed 2026-06-30 16:36 UTC · model grok-4.3

classification ⚛️ physics.med-ph

keywords cerebral aneurysmshemodynamicswall shear stressTAWSScomputational fluid dynamicsfinite element methodrupture

0 comments

The pith

Ruptured and unruptured cerebral aneurysms show substantial overlap in hemodynamic flow patterns.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper runs blood flow simulations on real patient aneurysm shapes using a custom finite element code. The results indicate that ruptured and unruptured aneurysms often display similar high wall shear stress areas and flow speeds. Elevated shear occurs in both types without clear distinction. The work shows that these flow measures can look alike across different outcomes. It stresses the need to interpret such data carefully due to the varied nature of aneurysm behavior.

Core claim

The computed flow fields demonstrated substantial hemodynamic overlap between the two groups, with elevated WSS and TAWSS regions observed in both ruptured and unruptured aneurysms. Similar high-velocity inflow structures and localized shear concentration patterns were identified across different cases, demonstrating that elevated shear-related magnitudes can be present in aneurysms with different rupture statuses. The results show that comparable WSS- and TAWSS-based hemodynamic characteristics may exist in aneurysms with different clinical outcomes, emphasizing the complexity and case-dependent nature of cerebral aneurysm hemodynamics.

What carries the argument

Patient-specific CFD simulations using an in-house parallel C++ finite element solver to calculate wall shear stress and time-averaged wall shear stress.

If this is right

WSS and TAWSS values can be elevated in both ruptured and unruptured aneurysms.
High-velocity inflow and localized shear patterns appear similar across rupture statuses.
Rupture assessment requires more than isolated WSS-based analysis due to case-dependent hemodynamics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Researchers might need to integrate multiple hemodynamic and geometric parameters for improved rupture risk evaluation.
Validation against larger clinical datasets could test how general the observed overlap is.

Load-bearing premise

Patient-specific models and boundary conditions in the simulations accurately reflect actual blood flow without introducing artifacts that create misleading overlap.

What would settle it

If a larger set of aneurysms or different modeling assumptions revealed distinctly different WSS patterns separating the ruptured from unruptured groups, the substantial overlap would be questioned.

read the original abstract

Cerebral aneurysm rupture has long been associated with abnormal hemodynamic conditions, particularly wall shear stress (WSS)-related flow behavior. Although aneurysm rupture is widely recognized as a multifactorial phenomenon involving complex interactions between geometry, flow structures, and multiple hemodynamic quantities, WSS-based parameters remain among the most commonly reported metrics in computational aneurysm studies. In the present study, computational fluid dynamics simulations were performed using an in-house parallel C++ finite element solver to investigate velocity streamlines, wall shear stress (WSS), and time-averaged wall shear stress (TAWSS) in patient-specific ruptured and unruptured cerebral aneurysm models. The computed flow fields demonstrated substantial hemodynamic overlap between the two groups, with elevated WSS and TAWSS regions observed in both ruptured and unruptured aneurysms. Similar high-velocity inflow structures and localized shear concentration patterns were identified across different cases, demonstrating that elevated shear-related magnitudes can be present in aneurysms with different rupture statuses. The results show that comparable WSS- and TAWSS-based hemodynamic characteristics may exist in aneurysms with different clinical outcomes, emphasizing the complexity and case-dependent nature of cerebral aneurysm hemodynamics. Rather than proposing rupture prediction criteria, the present study provides a focused computational assessment of hemodynamic similarities between ruptured and unruptured aneurysms and highlights the importance of careful interpretation of isolated WSS- and TAWSS-based analyses in rupture assessment.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This paper adds a few more patient-specific CFD cases showing WSS/TAWSS overlap between ruptured and unruptured aneurysms but largely confirms existing observations.

read the letter

The paper runs CFD on patient-specific cerebral aneurysm models with an in-house parallel C++ finite element solver and reports substantial overlap in wall shear stress and time-averaged wall shear stress between ruptured and unruptured groups, plus similar high-velocity inflow patterns. The authors frame the result as evidence that these metrics alone cannot reliably separate the two groups and stress the case-dependent complexity instead of offering any prediction rule.

The restraint is the main strength. They stick to a descriptive assessment and do not overclaim generalizability or diagnostic utility. Using their own solver for the runs is also fine as far as it goes.

The limitation is that the abstract gives no numbers on how many cases were modeled, no mesh convergence checks, no solver validation against benchmarks or other codes, and no details on boundary conditions or geometry reconstruction. Those omissions make it difficult to judge whether the reported overlap reflects real hemodynamics or modeling choices. The central observation itself is not new; prior work has already noted similar overlap.

This is incremental work aimed at researchers already active in aneurysm CFD. It adds examples but does not introduce new methods or resolve open questions. I would send it to peer review. The claim is modest and the simulations are direct, so a referee can reasonably evaluate the missing technical details rather than rejecting it outright.

Referee Report

0 major / 3 minor

Summary. The manuscript performs patient-specific CFD simulations of cerebral aneurysms using an in-house parallel C++ finite element solver. It computes velocity streamlines, WSS, and TAWSS for a set of ruptured and unruptured cases and reports substantial hemodynamic overlap, with elevated shear regions present in both groups. The work frames this as evidence of case-dependent complexity and cautions against relying on isolated WSS/TAWSS metrics for rupture assessment, without proposing predictive criteria.

Significance. If the reported overlap holds in the full dataset, the study provides concrete examples illustrating that WSS-based parameters do not reliably separate rupture status. This reinforces the multifactorial character of aneurysm rupture and supplies a focused computational observation that can inform interpretation of similar CFD studies.

minor comments (3)

[Abstract] The abstract states the overlap finding but does not indicate the number of ruptured versus unruptured cases examined; adding this detail would help readers gauge the scope of the descriptive observation.
Figure captions and axis labels for WSS/TAWSS distributions should explicitly state units and color scales to allow direct comparison of magnitudes across cases.
[Methods] The methods section should clarify whether inlet flow waveforms or outlet boundary conditions were identical across all models or adjusted per patient; this affects reproducibility of the overlap result.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful review and the positive recommendation for minor revision. The manuscript reports hemodynamic overlap based on the available patient-specific cases and emphasizes the case-dependent nature of the findings without claiming a complete dataset.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper performs direct numerical CFD simulations on patient-specific geometries using an in-house finite-element solver and reports observed hemodynamic quantities (WSS, TAWSS, streamlines) without any derivation chain, fitted parameters, or predictive claims. The central result is a descriptive observation of overlap between ruptured and unruptured cases; the text explicitly disclaims rupture-prediction criteria. No self-citations, ansatzes, or uniqueness theorems are invoked as load-bearing steps, and no quantity is redefined in terms of itself or renamed as a new result. The work is therefore self-contained as a set of computational case studies.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available; no explicit free parameters, axioms, or invented entities are described. The work relies on standard CFD assumptions (incompressible Newtonian flow, rigid walls) that are not detailed here.

pith-pipeline@v0.9.1-grok · 5793 in / 1005 out tokens · 40167 ms · 2026-06-30T16:36:43.668218+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

38 extracted references · 1 canonical work pages

[1]

Introduction Intracranial aneurysms represent pathological enlargements of cerebral arteries that pose a serious clinical risk due to their potential to rupture. Although they are relatively common , affecting up to 6% of the population, the proportion that rupture is small; however, when rupture occurs, it often leads to subarachnoid hemorrhage with a mo...
[2]

The governing incompressib le Navier-Stokes equations were solved under physiologically realistic pulsatile flow conditions

Method A computational framework based on the finite element method was developed to simulate blood flow in patient-specific cerebral aneurysm geometries and investigate the relationship between hemodynamic variables and rupture status. The governing incompressib le Navier-Stokes equations were solved under physiologically realistic pulsatile flow conditi...
[3]

To provide a balanced comparison between rupture states while minimizing potential demographic variability, only female cases were considered

Results A total of eight patient -specific cerebral aneurysm models obtained from the AneuRisk database were investigated in the present study. To provide a balanced comparison between rupture states while minimizing potential demographic variability, only female cases were considered. The dataset consisted of four unruptured aneurysms from patients aged ...
[4]

In both groups, complex intra-aneurysmal flow structures were observed, including concentrated inflow jets, recirculation zones, and swirling flow patterns within the aneurysm sacs

Discussion The computed velocity streamlines, WSS, and TAWSS distributions demonstrated substantial hemodynamic variability across the investigated aneurysm geometries while simultaneously revealing notable similarities between ruptured and unruptured cases. In both groups, complex intra-aneurysmal flow structures were observed, including concentrated inf...
[5]

Conclusion Computational fluid dynamics simulations performed on eight patient -specific cerebral aneurysm models demonstrated that elevated WSS and TAWSS distributions can occur in both ruptured and unruptured aneurysms. Although the investigated geometries exhibited different anatomical configurations and flow topologies, localized high -shear regions w...
[6]

Neurosurgery, 2012

Amenta, P.S., et al., Analysis of nonmodifiable risk factors for intracranial aneurysm rupture in a large, retrospective cohort. Neurosurgery, 2012. 70(3): p. 693–701

2012
[7]

Stroke, 2002

Johnston, S.C., et al., Recommendations for the endovascular treatment of intracranial aneurysms: a statement for healthcare professionals from the Committee on Cerebrovascular Imaging of the American Heart Association Council on Cardiovascular Radiology. Stroke, 2002. 33(10): p. 2536–2544

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New England Journal of Medicine, 1997

Schievink, W.I., Intracranial aneurysms. New England Journal of Medicine, 1997. 336(1): p. 28– 40

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Stroke, 2015

Thompson, B.G., et al., Guidelines for the management of patients with unruptured intracranial aneurysms: a guideline for healthcare professionals from the American Heart Association/American Stroke Association. Stroke, 2015. 46(8): p. 2368–2400

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Lasheras, J.C., The biomechanics of arterial aneurysms. Annu. Rev. Fluid Mech., 2007. 39(1): p. 293–319

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Tromp, G., et al., Molecular basis and genetic predisposition to intracranial aneurysm. Annals of medicine, 2014. 46(8): p. 597–606

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Cebral, J.R. and M. Raschi, Suggested connections between risk factors of intracranial aneurysms: a review. Annals of biomedical engineering, 2013. 41(7): p. 1366–1383

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Hoskins, P.R., et al., Cardiovascular biomechanics. 2017: Springer

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Vascular Pharmacology, 2025: p

Bozorgpour, R., Hemodynamic markers: CFD-based prediction of cerebral aneurysm rupture risk. Vascular Pharmacology, 2025: p. 107578

2025
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Bozorgpour, R., Computational fluid dynamics in highly complex geometries using MPI-parallel lattice Boltzmann methods: A biomedical engineering application. bioRxiv, 2025: p. 2025.05. 25.656026

2025
[16]

Bozorgpour, R. and P . Kim, CFD-Based Quantification of Hemodynamic Variables in Cerebral Aneurysms: How Hemodynamics Shape Aneurysm Fate. arXiv preprint arXiv:2505.14695, 2025

work page arXiv 2025
[17]

The Lancet Neurology, 2011

Vlak, M.H., et al., Prevalence of unruptured intracranial aneurysms, with emphasis on sex, age, comorbidity, country, and time period: a systematic review and meta-analysis. The Lancet Neurology, 2011. 10(7): p. 626–636

2011
[18]

World neurosurgery, 2018

Revilla-Pacheco, F., et al., Prevalence of incidental clinoid segment saccular aneurysms. World neurosurgery, 2018. 115: p. e244–e251

2018
[19]

Stroke, 2016

Murayama, Y ., et al., Risk analysis of unruptured intracranial aneurysms: prospective 10-year cohort study. Stroke, 2016. 47(2): p. 365–371

2016
[20]

The Lancet Neurology, 2009

Nieuwkamp, D.J., et al., Changes in case fatality of aneurysmal subarachnoid haemorrhage over time, according to age, sex, and region: a meta-analysis. The Lancet Neurology, 2009. 8(7): p. 635–642

2009
[21]

Trends in cerebrovascular surgery and interventions, 2021: p

Ishida, F., et al., Computational fluid dynamics for cerebral aneurysms in clinical settings. Trends in cerebrovascular surgery and interventions, 2021: p. 27–32

2021
[22]

Neurosurgical focus, 2019

Frösen, J., et al., Flow-induced, inflammation-mediated arterial wall remodeling in the formation and progression of intracranial aneurysms. Neurosurgical focus, 2019. 47(1): p. E21

2019
[23]

New England Journal of Medicine, 2025

Ogilvy, C.S., Unruptured intracranial aneurysms. New England Journal of Medicine, 2025. 392(23): p. 2357–2366

2025
[24]

Barzegar Gerdroodbary, M. and S. Salavatidezfouli, A predictive surrogate model of blood haemodynamics for patient-specific carotid artery stenosis. Journal of the Royal Society Interface, 2025. 22(224)

2025
[25]

Gerdroodbary, M.B. and S. Salavatidezfouli, A predictive surrogate model based on linear and nonlinear solution manifold reduction in cardiovascular FSI: A comparative study. Computers in Biology and Medicine, 2025. 189: p. 109959. 16

2025
[26]

International Journal of Modern Physics C, 2025

Shiryanpoor, I., et al., Using computational fluid dynamic for evaluation of rupture risk of micro cerebral aneurysms in the growth process: hemodynamic analysis. International Journal of Modern Physics C, 2025. 36(02): p. 2450184

2025
[27]

Frontiers in Physiology, 2021

Morel, S., et al., Effects of low and high aneurysmal wall shear stress on endothelial cell behavior: differences and similarities. Frontiers in Physiology, 2021. 12: p. 727338

2021
[28]

Scientific reports, 2017

Zhou, G., et al., Association of wall shear stress with intracranial aneurysm rupture: systematic review and meta-analysis. Scientific reports, 2017. 7(1): p. 5331

2017
[29]

Modeling of physiological flows, 2012: p

Steinman, D.A., Assumptions in modelling of large artery hemodynamics. Modeling of physiological flows, 2012: p. 1–18

2012
[30]

Scientific Reports, 2025

Nagy, J., et al., Fluid structure Interaction analysis for rupture risk assessment in patients with middle cerebral artery aneurysms. Scientific Reports, 2025. 15(1): p. 1965

2025
[31]

Journal of the Mechanical Behavior of Biomedical Materials, 2022

Oliveira, I., et al., A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields. Journal of the Mechanical Behavior of Biomedical Materials, 2022. 136: p. 105498

2022
[32]

Journal of Biomechanical Engineering, 2021

Oliveira, I.L., et al., Non-Newtonian blood modeling in intracranial aneurysm hemodynamics: impact on the wall shear stress and oscillatory shear index metrics for ruptured and unruptured cases. Journal of Biomechanical Engineering, 2021. 143(7): p. 071006

2021
[33]

Anais da Academia Brasileira de Ciências, 2023

Silva, M.L.F.D., et al., Comparative study between 1-way and 2-way coupled fluid-structure interaction in numerical simulation of aortic arch aneurysms. Anais da Academia Brasileira de Ciências, 2023. 95(suppl 1): p. e20210859

2023
[34]

AIP Advances, 2024

Mousavi, S.V ., et al., Impacts of the aneurysm deformation induced by stent on hemodynamic of blood flow in saccular internal carotid artery aneurysms. AIP Advances, 2024. 14(9)

2024
[35]

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[36]

Geuzaine, C. and J.F. Remacle, Gmsh: A 3‐D finite element mesh generator with built‐in pre‐and post‐processing facilities. International journal for numerical methods in engineering, 2009. 79(11): p. 1309–1331

2009
[37]

Karypis, G. and V . Kumar, METIS: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. 1997

1997
[38]

KarypisLab. METIS. Available from: https://github.com/KarypisLab/METIS

[1] [1]

Introduction Intracranial aneurysms represent pathological enlargements of cerebral arteries that pose a serious clinical risk due to their potential to rupture. Although they are relatively common , affecting up to 6% of the population, the proportion that rupture is small; however, when rupture occurs, it often leads to subarachnoid hemorrhage with a mo...

[2] [2]

The governing incompressib le Navier-Stokes equations were solved under physiologically realistic pulsatile flow conditions

Method A computational framework based on the finite element method was developed to simulate blood flow in patient-specific cerebral aneurysm geometries and investigate the relationship between hemodynamic variables and rupture status. The governing incompressib le Navier-Stokes equations were solved under physiologically realistic pulsatile flow conditi...

[3] [3]

To provide a balanced comparison between rupture states while minimizing potential demographic variability, only female cases were considered

Results A total of eight patient -specific cerebral aneurysm models obtained from the AneuRisk database were investigated in the present study. To provide a balanced comparison between rupture states while minimizing potential demographic variability, only female cases were considered. The dataset consisted of four unruptured aneurysms from patients aged ...

[4] [4]

In both groups, complex intra-aneurysmal flow structures were observed, including concentrated inflow jets, recirculation zones, and swirling flow patterns within the aneurysm sacs

Discussion The computed velocity streamlines, WSS, and TAWSS distributions demonstrated substantial hemodynamic variability across the investigated aneurysm geometries while simultaneously revealing notable similarities between ruptured and unruptured cases. In both groups, complex intra-aneurysmal flow structures were observed, including concentrated inf...

[5] [5]

Conclusion Computational fluid dynamics simulations performed on eight patient -specific cerebral aneurysm models demonstrated that elevated WSS and TAWSS distributions can occur in both ruptured and unruptured aneurysms. Although the investigated geometries exhibited different anatomical configurations and flow topologies, localized high -shear regions w...

[6] [6]

Neurosurgery, 2012

Amenta, P.S., et al., Analysis of nonmodifiable risk factors for intracranial aneurysm rupture in a large, retrospective cohort. Neurosurgery, 2012. 70(3): p. 693–701

2012

[7] [7]

Stroke, 2002

Johnston, S.C., et al., Recommendations for the endovascular treatment of intracranial aneurysms: a statement for healthcare professionals from the Committee on Cerebrovascular Imaging of the American Heart Association Council on Cardiovascular Radiology. Stroke, 2002. 33(10): p. 2536–2544

2002

[8] [8]

New England Journal of Medicine, 1997

Schievink, W.I., Intracranial aneurysms. New England Journal of Medicine, 1997. 336(1): p. 28– 40

1997

[9] [9]

Stroke, 2015

Thompson, B.G., et al., Guidelines for the management of patients with unruptured intracranial aneurysms: a guideline for healthcare professionals from the American Heart Association/American Stroke Association. Stroke, 2015. 46(8): p. 2368–2400

2015

[10] [10]

Lasheras, J.C., The biomechanics of arterial aneurysms. Annu. Rev. Fluid Mech., 2007. 39(1): p. 293–319

2007

[11] [11]

Annals of medicine, 2014

Tromp, G., et al., Molecular basis and genetic predisposition to intracranial aneurysm. Annals of medicine, 2014. 46(8): p. 597–606

2014

[12] [12]

Cebral, J.R. and M. Raschi, Suggested connections between risk factors of intracranial aneurysms: a review. Annals of biomedical engineering, 2013. 41(7): p. 1366–1383

2013

[13] [13]

2017: Springer

Hoskins, P.R., et al., Cardiovascular biomechanics. 2017: Springer

2017

[14] [14]

Vascular Pharmacology, 2025: p

Bozorgpour, R., Hemodynamic markers: CFD-based prediction of cerebral aneurysm rupture risk. Vascular Pharmacology, 2025: p. 107578

2025

[15] [15]

bioRxiv, 2025: p

Bozorgpour, R., Computational fluid dynamics in highly complex geometries using MPI-parallel lattice Boltzmann methods: A biomedical engineering application. bioRxiv, 2025: p. 2025.05. 25.656026

2025

[16] [16]

Bozorgpour, R. and P . Kim, CFD-Based Quantification of Hemodynamic Variables in Cerebral Aneurysms: How Hemodynamics Shape Aneurysm Fate. arXiv preprint arXiv:2505.14695, 2025

work page arXiv 2025

[17] [17]

The Lancet Neurology, 2011

Vlak, M.H., et al., Prevalence of unruptured intracranial aneurysms, with emphasis on sex, age, comorbidity, country, and time period: a systematic review and meta-analysis. The Lancet Neurology, 2011. 10(7): p. 626–636

2011

[18] [18]

World neurosurgery, 2018

Revilla-Pacheco, F., et al., Prevalence of incidental clinoid segment saccular aneurysms. World neurosurgery, 2018. 115: p. e244–e251

2018

[19] [19]

Stroke, 2016

Murayama, Y ., et al., Risk analysis of unruptured intracranial aneurysms: prospective 10-year cohort study. Stroke, 2016. 47(2): p. 365–371

2016

[20] [20]

The Lancet Neurology, 2009

Nieuwkamp, D.J., et al., Changes in case fatality of aneurysmal subarachnoid haemorrhage over time, according to age, sex, and region: a meta-analysis. The Lancet Neurology, 2009. 8(7): p. 635–642

2009

[21] [21]

Trends in cerebrovascular surgery and interventions, 2021: p

Ishida, F., et al., Computational fluid dynamics for cerebral aneurysms in clinical settings. Trends in cerebrovascular surgery and interventions, 2021: p. 27–32

2021

[22] [22]

Neurosurgical focus, 2019

Frösen, J., et al., Flow-induced, inflammation-mediated arterial wall remodeling in the formation and progression of intracranial aneurysms. Neurosurgical focus, 2019. 47(1): p. E21

2019

[23] [23]

New England Journal of Medicine, 2025

Ogilvy, C.S., Unruptured intracranial aneurysms. New England Journal of Medicine, 2025. 392(23): p. 2357–2366

2025

[24] [24]

Barzegar Gerdroodbary, M. and S. Salavatidezfouli, A predictive surrogate model of blood haemodynamics for patient-specific carotid artery stenosis. Journal of the Royal Society Interface, 2025. 22(224)

2025

[25] [25]

Gerdroodbary, M.B. and S. Salavatidezfouli, A predictive surrogate model based on linear and nonlinear solution manifold reduction in cardiovascular FSI: A comparative study. Computers in Biology and Medicine, 2025. 189: p. 109959. 16

2025

[26] [26]

International Journal of Modern Physics C, 2025

Shiryanpoor, I., et al., Using computational fluid dynamic for evaluation of rupture risk of micro cerebral aneurysms in the growth process: hemodynamic analysis. International Journal of Modern Physics C, 2025. 36(02): p. 2450184

2025

[27] [27]

Frontiers in Physiology, 2021

Morel, S., et al., Effects of low and high aneurysmal wall shear stress on endothelial cell behavior: differences and similarities. Frontiers in Physiology, 2021. 12: p. 727338

2021

[28] [28]

Scientific reports, 2017

Zhou, G., et al., Association of wall shear stress with intracranial aneurysm rupture: systematic review and meta-analysis. Scientific reports, 2017. 7(1): p. 5331

2017

[29] [29]

Modeling of physiological flows, 2012: p

Steinman, D.A., Assumptions in modelling of large artery hemodynamics. Modeling of physiological flows, 2012: p. 1–18

2012

[30] [30]

Scientific Reports, 2025

Nagy, J., et al., Fluid structure Interaction analysis for rupture risk assessment in patients with middle cerebral artery aneurysms. Scientific Reports, 2025. 15(1): p. 1965

2025

[31] [31]

Journal of the Mechanical Behavior of Biomedical Materials, 2022

Oliveira, I., et al., A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields. Journal of the Mechanical Behavior of Biomedical Materials, 2022. 136: p. 105498

2022

[32] [32]

Journal of Biomechanical Engineering, 2021

Oliveira, I.L., et al., Non-Newtonian blood modeling in intracranial aneurysm hemodynamics: impact on the wall shear stress and oscillatory shear index metrics for ruptured and unruptured cases. Journal of Biomechanical Engineering, 2021. 143(7): p. 071006

2021

[33] [33]

Anais da Academia Brasileira de Ciências, 2023

Silva, M.L.F.D., et al., Comparative study between 1-way and 2-way coupled fluid-structure interaction in numerical simulation of aortic arch aneurysms. Anais da Academia Brasileira de Ciências, 2023. 95(suppl 1): p. e20210859

2023

[34] [34]

AIP Advances, 2024

Mousavi, S.V ., et al., Impacts of the aneurysm deformation induced by stent on hemodynamic of blood flow in saccular internal carotid artery aneurysms. AIP Advances, 2024. 14(9)

2024

[35] [35]

AneuriskWeb project website

Aneurisk-Team. AneuriskWeb project website. 2012; Available from: http://ecm2.mathcs.emory.edu/aneuriskweb

2012

[36] [36]

Geuzaine, C. and J.F. Remacle, Gmsh: A 3‐D finite element mesh generator with built‐in pre‐and post‐processing facilities. International journal for numerical methods in engineering, 2009. 79(11): p. 1309–1331

2009

[37] [37]

Karypis, G. and V . Kumar, METIS: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. 1997

1997

[38] [38]

KarypisLab. METIS. Available from: https://github.com/KarypisLab/METIS