Comparison of existing aneurysm models and their path forward

The two most important aneurysm types are cerebral aneurysms (CA) and abdominal aortic aneurysms (AAA), accounting together for over 80\% of all fatal aneurysm incidences. To minimise aneurysm related deaths, clinicians require various tools to accurately estimate its rupture risk. For both aneurysm types, the current state-of-the-art tools to evaluate rupture risk are identified and evaluated in terms of clinical applicability. We perform a comprehensive literature review, using the Web of Science database. Identified records (3127) are clustered by modelling approach and aneurysm location in a meta-analysis to quantify scientific relevance and to extract modelling patterns and further assessed according to PRISMA guidelines (179 full text screens). Beside general differences and similarities of CA and AAA, we identify and systematically evaluate four major modelling approaches on aneurysm rupture risk: finite element analysis and computational fluid dynamics as deterministic approaches and machine learning and assessment-tools and dimensionless parameters as stochastic approaches. The latter score highest in the evaluation for their potential as clinical applications for rupture prediction, due to readiness level and user friendliness. Deterministic approaches are less likely to be applied in a clinical environment because of their high model complexity. Because deterministic approaches consider underlying mechanism for aneurysm rupture, they have improved capability to account for unusual patient-specific characteristics, compared to stochastic approaches. We show that an increased interdisciplinary exchange between specialists can boost comprehension of this disease to design tools for a clinical environment. By combining deterministic and stochastic models, advantages of both approaches can improve accessibility for clinicians and prediction quality for rupture risk.

[1]  A. Banerjee,et al.  Age‐specific incidence, risk factors and outcome of acute abdominal aortic aneurysms in a defined population , 2015, The British journal of surgery.

[2]  Marko Kangasniemi,et al.  Remodeling of Saccular Cerebral Artery Aneurysm Wall Is Associated With Rupture: Histological Analysis of 24 Unruptured and 42 Ruptured Cases , 2004, Stroke.

[3]  J. Cooper,et al.  Growth rates of small abdominal aortic aneurysms correlate with clinical events , 2009, The British journal of surgery.

[4]  Thomas G. Dietterich What is machine learning? , 2020, Archives of Disease in Childhood.

[5]  P. Hoskins,et al.  The relationship between abdominal aortic aneurysm wall compliance, maximum diameter and growth rate. , 1997, Cardiovascular surgery.

[6]  Linxia Gu,et al.  Fluid-Structure Interaction in Abdominal Aortic Aneurysm: Effect of Modeling Techniques , 2017, BioMed research international.

[7]  Robert Y. Cavana Practical strategy: structured tools and techniques , 2007 .

[8]  Fernando T. Pinho,et al.  Viscoelastic instabilities in micro-scale flows , 2014 .

[9]  M M Thompson,et al.  A review of biological factors implicated in abdominal aortic aneurysm rupture. , 2005, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[10]  Christopher Putman,et al.  Associations of hemodynamics, morphology, and patient characteristics with aneurysm rupture stratified by aneurysm location , 2018, Neuroradiology.

[11]  R Indrakusuma,et al.  Biomechanical Imaging Markers as Predictors of Abdominal Aortic Aneurysm Growth or Rupture: A Systematic Review. , 2016, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[12]  A. Ng,et al.  Deep Learning–Assisted Diagnosis of Cerebral Aneurysms Using the HeadXNet Model , 2019, JAMA network open.

[13]  W. Pearce,et al.  Expression of matrix metalloproteinases and their inhibitors in aneurysms and normal aorta. , 1997, Surgery.

[14]  N. Cheshire,et al.  Fluid structure interaction of patient specific abdominal aortic aneurysms: a comparison with solid stress models , 2006, Biomedical engineering online.

[15]  J. Xiang,et al.  High WSS or Low WSS? Complex Interactions of Hemodynamics with Intracranial Aneurysm Initiation, Growth, and Rupture: Toward a Unifying Hypothesis , 2014, American Journal of Neuroradiology.

[16]  E. Connolly,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 , 2015, Stroke.

[17]  Nils J. Nilsson,et al.  Artificial Intelligence , 1974, IFIP Congress.

[18]  Philipp Taussky,et al.  Role of matrix metalloproteinases in the pathogenesis of intracranial aneurysms. , 2019, Neurosurgical focus.

[19]  David Hasan,et al.  Review of Cerebral Aneurysm Formation, Growth, and Rupture , 2013, Stroke.

[20]  Charles A. Taylor,et al.  Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. , 2008, Annual review of biomedical engineering.

[21]  Karol Miller,et al.  BioPARR: A software system for estimating the rupture potential index for abdominal aortic aneurysms , 2017, Scientific Reports.

[22]  D. Vorp,et al.  Biomechanics of abdominal aortic aneurysm. , 2007, Journal of biomechanics.

[23]  Ying Zhang,et al.  Influence of morphology and hemodynamic factors on rupture of multiple intracranial aneurysms: matched-pairs of ruptured-unruptured aneurysms located unilaterally on the anterior circulation , 2014, BMC Neurology.

[24]  J. Mocco,et al.  Characterization of Critical Hemodynamics Contributing to Aneurysmal Remodeling at the Basilar Terminus in a Rabbit Model , 2010, Stroke.

[25]  Madhavan L Raghavan,et al.  Regional distribution of wall thickness and failure properties of human abdominal aortic aneurysm. , 2006, Journal of biomechanics.

[26]  Nikolaos Kontopodis,et al.  The – Not So – Solid 5.5 cm Threshold for Abdominal Aortic Aneurysm Repair: Facts, Misinterpretations, and Future Directions , 2016, Front. Surg..

[27]  B. George,et al.  The Vertebral Artery , 1987, Springer Vienna.

[28]  Young Gyun Jeong,et al.  What Is the Significance of a Large Number of Ruptured Aneurysms Smaller than 7 mm in Diameter? , 2009, Journal of Korean Neurosurgical Society.

[29]  R. Morishita,et al.  PGE2‐EP2 signalling in endothelium is activated by haemodynamic stress and induces cerebral aneurysm through an amplifying loop via NF‐κB , 2011, British journal of pharmacology.

[30]  北村 聖 "The New England Journal of Medicine". , 1962, British medical journal.

[31]  Kenichi Funamoto,et al.  Hemodynamic analysis of growing intracranial aneurysms arising from a posterior inferior cerebellar artery. , 2012, World neurosurgery.

[32]  Adnan H Siddiqui,et al.  Methodology for Computational Fluid Dynamic Validation for Medical Use: Application to Intracranial Aneurysm. , 2017, Journal of biomechanical engineering.

[33]  Mark Doyle,et al.  Fluid-structure interaction modeling of abdominal aortic aneurysms: the impact of patient-specific inflow conditions and fluid/solid coupling. , 2013, Journal of biomechanical engineering.

[34]  D. Ku,et al.  Pulsatile flow visualization in the abdominal aorta under differing physiologic conditions: implications for increased susceptibility to atherosclerosis. , 1992, Journal of biomechanical engineering.

[35]  Alvaro Valencia,et al.  COMPUTATIONAL STUDY ON THE RUPTURE RISK IN REAL CEREBRAL ANEURYSMS WITH GEOMETRICAL AND FLUID-MECHANICAL PARAMETERS USING FSI SIMULATIONS AND MACHINE LEARNING ALGORITHMS , 2019, Journal of Mechanics in Medicine and Biology.

[36]  Elena S. Di Martino,et al.  Fluid-structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm. , 2001, Medical engineering & physics.

[37]  Anne M Robertson,et al.  Flow-induced, inflammation-mediated arterial wall remodeling in the formation and progression of intracranial aneurysms. , 2019, Neurosurgical focus.

[38]  Barry J Doyle,et al.  New approaches to abdominal aortic aneurysm rupture risk assessment: engineering insights with clinical gain. , 2010, Arteriosclerosis, thrombosis, and vascular biology.

[39]  Xinjian Yang,et al.  Stability Assessment of Intracranial Aneurysms Using Machine Learning Based on Clinical and Morphological Features , 2020, Translational Stroke Research.

[40]  D. Reed,et al.  Are Aortic Aneurysms Caused by Atherosclerosis? , 1992, Circulation.

[41]  C M Putman,et al.  Hemodynamic Patterns of Anterior Communicating Artery Aneurysms: A Possible Association with Rupture , 2009, American Journal of Neuroradiology.

[42]  Ioannis E. Livieris,et al.  A Grey-Box Ensemble Model Exploiting Black-Box Accuracy and White-Box Intrinsic Interpretability , 2020, Algorithms.

[43]  Peter R Hoskins,et al.  The relationship between aortic wall distensibility and rupture of infrarenal abdominal aortic aneurysm. , 2003, Journal of vascular surgery.

[44]  Petri T. Kovanen,et al.  Smooth Muscle Cell Foam Cell Formation, Apolipoproteins, and ABCA1 in Intracranial Aneurysms: Implications for Lipid Accumulation as a Promoter of Aneurysm Wall Rupture , 2016, Journal of neuropathology and experimental neurology.

[45]  Barry J Doyle,et al.  Haemodynamics and stresses in abdominal aortic aneurysms: A fluid-structure interaction study into the effect of proximal neck and iliac bifurcation angle. , 2017, Journal of biomechanics.

[46]  Robert D. Brown,et al.  Management of unruptured intracranial aneurysms. , 2013, Neurology. Clinical practice.

[47]  Yuichi Murayama,et al.  Computational fluid dynamics as a risk assessment tool for aneurysm rupture. , 2019, Neurosurgical focus.

[48]  Shmuel Einav,et al.  Abdominal aortic aneurysm risk of rupture: patient-specific FSI simulations using anisotropic model. , 2009, Journal of biomechanical engineering.

[49]  B. McManus,et al.  Localization of aortic disease is associated with intrinsic differences in aortic structure. , 1995, The Journal of surgical research.

[50]  Matthew J Bown,et al.  Changing Epidemiology of Abdominal Aortic Aneurysms in England and Wales: Older and More Benign? , 2012, Circulation.

[51]  D. Vorp,et al.  The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta. , 2006, Journal of biomechanics.

[52]  D. Rodgers,et al.  Dimensions of the posterior cerebral circulation: an analysis based on advanced non-invasive imaging , 2012, Journal of NeuroInterventional Surgery.

[53]  C. Murray,et al.  Estimation of global and regional incidence and prevalence of abdominal aortic aneurysms 1990 to 2010. , 2014, Global heart.

[54]  M. G. C. Nestola,et al.  Three-band decomposition analysis in multiscale FSI models of abdominal aortic aneurysms , 2016 .

[55]  Shengzhang Wang,et al.  Morphologic and Hemodynamic Analysis in the Patients with Multiple Intracranial Aneurysms: Ruptured versus Unruptured , 2015, PloS one.

[56]  G. Giannakoulas,et al.  Predicting the Risk of Rupture of Abdominal Aortic Aneurysms by Utilizing Various Geometrical Parameters: Revisiting the Diameter Criterion , 2006, Angiology.

[57]  Per Eriksson,et al.  Difference in Matrix-Degrading Protease Expression and Activity Between Thrombus-Free and Thrombus-Covered Wall of Abdominal Aortic Aneurysm , 2005, Arteriosclerosis, thrombosis, and vascular biology.

[58]  Philippe Bijlenga,et al.  Role of hemodynamics in initiation/growth of intracranial aneurysms , 2018, European journal of clinical investigation.

[59]  Mehmet Sahin,et al.  A parallel monolithic approach for fluid-structure interaction in a cerebral aneurysm , 2014 .

[60]  E. Mormina,et al.  Role of Hemodynamic Forces in Unruptured Intracranial Aneurysms: An Overview of a Complex Scenario. , 2017, World neurosurgery.

[61]  S. Chien,et al.  Effects of disturbed flow on vascular endothelium: pathophysiological basis and clinical perspectives. , 2011, Physiological reviews.

[62]  B T Baxter,et al.  Elastin is increased in abdominal aortic aneurysms. , 1994, The Journal of surgical research.

[63]  Nabil Chakfé,et al.  Artificial intelligence in abdominal aortic aneurysm. , 2020, Journal of vascular surgery.

[64]  J. Lasheras The Biomechanics of Arterial Aneurysms , 2007 .

[65]  Masafumi Morimoto,et al.  Macrophage-Derived Matrix Metalloproteinase-2 and -9 Promote the Progression of Cerebral Aneurysms in Rats , 2007, Stroke.

[66]  Qingzhong Xiao,et al.  Matrix Metalloproteinase in Abdominal Aortic Aneurysm and Aortic Dissection , 2019, Pharmaceuticals.

[67]  David A. Vorp,et al.  Towards A Noninvasive Method for Determination of Patient-Specific Wall Strength Distribution in Abdominal Aortic Aneurysms , 2006, Annals of Biomedical Engineering.

[68]  Hideaki Haneishi,et al.  Effects of arterial blood flow on walls of the abdominal aorta: distributions of wall shear stress and oscillatory shear index determined by phase-contrast magnetic resonance imaging , 2016, Heart and Vessels.

[69]  T Christian Gasser,et al.  Biomechanical Rupture Risk Assessment , 2016, AORTA.

[70]  J. Powell,et al.  Limitations of ultrasonography in surveillance of small abdominal aortic aneurysms , 1991, The British journal of surgery.

[71]  Niels Kuster,et al.  Modeling intracranial aneurysm stability and growth: an integrative mechanobiological framework for clinical cases , 2020, Biomechanics and modeling in mechanobiology.

[72]  L. Lind,et al.  Thoracic and abdominal aortic dimension in 70-year-old men and women--a population-based whole-body magnetic resonance imaging (MRI) study. , 2008, Journal of vascular surgery.

[73]  M. Castro Understanding the Role of Hemodynamics in the Initiation, Progression, Rupture, and Treatment Outcome of Cerebral Aneurysm from Medical Image-Based Computational Studies , 2013, ISRN radiology.

[74]  Ying Zhang,et al.  Clinical, morphological, and hemodynamic independent characteristic factors for rupture of posterior communicating artery aneurysms , 2015, Journal of NeuroInterventional Surgery.

[75]  Nicole Varble,et al.  Initial Clinical Experience with AView-A Clinical Computational Platform for Intracranial Aneurysm Morphology, Hemodynamics, and Treatment Management. , 2017, World neurosurgery.

[76]  K. Nozaki,et al.  Impact of Monocyte Chemoattractant Protein-1 Deficiency on Cerebral Aneurysm Formation , 2009, Stroke.

[77]  S. Haulon,et al.  Management of abdominal aortic aneurysms clinical practice guidelines of the European society for vascular surgery. , 2011, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[78]  Veit Rohde,et al.  The application of the unruptured intracranial aneurysm treatment score: a retrospective, single-center study , 2018, Neurosurgical Review.

[79]  Hans-Jakob Steiger,et al.  Cerebral Aneurysms: Formation, Progression, and Developmental Chronology , 2013, Translational Stroke Research.

[80]  Yuri Bazilevs,et al.  A fully-coupled fluid-structure interaction simulation of cerebral aneurysms , 2010 .

[81]  G. L. Moneta Growth rates of small abdominal aortic aneurysms correlate with clinical events , 2010 .

[82]  C. Putman,et al.  Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models. , 2005, AJNR. American journal of neuroradiology.

[83]  Gerhard A Holzapfel,et al.  A thick-walled fluid-solid-growth model of abdominal aortic aneurysm evolution: application to a patient-specific geometry. , 2012, Journal of biomechanical engineering.

[84]  David E. Schmidt,et al.  The Effects of Anisotropy on the Stress Analyses of Patient-Specific Abdominal Aortic Aneurysms , 2008, Annals of Biomedical Engineering.

[85]  Geoff Coyle Practical Strategy: Structured tools and techniques , 2004 .

[86]  R N Vaishnav,et al.  Compressibility of the Arterial Wall , 1968, Circulation research.

[87]  U. Schoepf,et al.  Artificial Intelligence in the Management of Intracranial Aneurysms: Current Status and Future Perspectives , 2020, American Journal of Neuroradiology.

[88]  C M Putman,et al.  Hemodynamics and Bleb Formation in Intracranial Aneurysms , 2010, American Journal of Neuroradiology.

[89]  A. James O'Malley,et al.  Endovascular versus open repair of abdominal aortic aneurysms in the Medicare population , 2008 .

[90]  T Länne,et al.  Abdominal aortic aneurysm wall mechanics and their relation to risk of rupture. , 1999, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[91]  Aki Laakso,et al.  Saccular intracranial aneurysm: pathology and mechanisms , 2012, Acta Neuropathologica.

[92]  Yannis Papaharilaou,et al.  Advancements in identifying biomechanical determinants for abdominal aortic aneurysm rupture , 2015, Vascular.

[93]  Ali Alaraj,et al.  Aneurysm size and the Windkessel effect: An analysis of contrast intensity in digital subtraction angiography , 2017, Interventional neuroradiology : journal of peritherapeutic neuroradiology, surgical procedures and related neurosciences.

[94]  M. Thubrikar,et al.  Vascular mechanics and pathology , 2007 .

[95]  D. Kallmes,et al.  Risk Factors for Growth of Intracranial Aneurysms: A Systematic Review and Meta-Analysis , 2016, American Journal of Neuroradiology.

[96]  Min S. Park,et al.  Imaging of cerebral aneurysms: a clinical perspective , 2016 .

[97]  Hui Meng,et al.  A Comparative Review of the Hemodynamics and Pathogenesis of Cerebral and Abdominal Aortic Aneurysms: Lessons to Learn From Each Other , 2014, Journal of cerebrovascular and endovascular neurosurgery.

[98]  V. Roger,et al.  Population-Based Assessment of the Incidence of Aortic Dissection, Intramural Hematoma, and Penetrating Ulcer, and Its Associated Mortality From 1995 to 2015 , 2018, Circulation. Cardiovascular quality and outcomes.

[99]  Tzung K Hsiai,et al.  Mechanosignal transduction coupling between endothelial and smooth muscle cells: role of hemodynamic forces. , 2008, American journal of physiology. Cell physiology.

[100]  Young Woo Kim,et al.  Considerations of Blood Properties, Outlet Boundary Conditions and Energy Loss Approaches in Computational Fluid Dynamics Modeling , 2014, Neurointervention.

[101]  ScienceDirect European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery. , 1995 .

[102]  Hui Meng,et al.  A non-dimensional parameter for classification of the flow in intracranial aneurysms. II. Patient-specific geometries. , 2019, Physics of fluids.

[103]  H Meng,et al.  CFD: Computational Fluid Dynamics or Confounding Factor Dissemination? The Role of Hemodynamics in Intracranial Aneurysm Rupture Risk Assessment , 2014, American Journal of Neuroradiology.

[104]  Monica M Dua,et al.  Hemodynamic influences on abdominal aortic aneurysm disease: Application of biomechanics to aneurysm pathophysiology. , 2010, Vascular pharmacology.

[105]  C. Kleinstreuer,et al.  A Relation Between Near-Wall Particle-Hemodynamics and Onset of Thrombus Formation in Abdominal Aortic Aneurysms , 2011, Annals of Biomedical Engineering.

[106]  G. Janiga,et al.  A review on the reliability of hemodynamic modeling in intracranial aneurysms: why computational fluid dynamics alone cannot solve the equation. , 2019, Neurosurgical focus.

[107]  D A Vorp,et al.  Association of intraluminal thrombus in abdominal aortic aneurysm with local hypoxia and wall weakening. , 2001, Journal of vascular surgery.

[108]  Roberto García-Leal,et al.  Controversies on treatment of unruptured intracranial aneurysms. Value of UIATS and PHASES scores in a daily practice in a Spanish population , 2018, Interdisciplinary Neurosurgery.

[109]  Alastair J. Martin,et al.  Estimating the Hemodynamic Impact of Interventional Treatments of Aneurysms: Numerical Simulation with Experimental Validation: Technical Case Report , 2006, Neurosurgery.

[110]  Khalid M. Saqr,et al.  What does computational fluid dynamics tell us about intracranial aneurysms? A meta-analysis and critical review , 2019, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[111]  J Ranstam,et al.  Expansion pattern and risk of rupture of abdominal aortic aneurysms that were not operated on. , 1993, The European journal of surgery = Acta chirurgica.

[112]  G. Moneta,et al.  The aneurysm detection and management study screening program: validation cohort and final results. Aneurysm Detection and Management Veterans Affairs Cooperative Study Investigators. , 2000, Archives of internal medicine.

[113]  Pierce A Grace,et al.  The biaxial mechanical behaviour of abdominal aortic aneurysm intraluminal thrombus: classification of morphology and the determination of layer and region specific properties. , 2014, Journal of biomechanics.

[114]  Matthew E Falagas,et al.  Comparison of PubMed, Scopus, Web of Science, and Google Scholar: strengths and weaknesses , 2007, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[115]  Ender A Finol,et al.  Decision Tree Based Classification of Abdominal Aortic Aneurysms Using Geometry Quantification Measures , 2018, Annals of Biomedical Engineering.

[116]  Jürgen Hennig,et al.  Analysis of the wall shear stress in a generic aneurysm under pulsating and transitional flow conditions , 2020, Experiments in Fluids.

[117]  M. L. Raghavan,et al.  Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms. , 2007, Journal of biomechanics.

[118]  I. M. Wilkinson,et al.  The vertebral artery. Extracranial and intracranial structure. , 1972, Archives of neurology.

[119]  E. Boccardi,et al.  Factors affecting formation and rupture of intracranial saccular aneurysms , 2013, Neurosurgical Review.

[120]  Jongeun Choi,et al.  On parameter estimation for biaxial mechanical behavior of arteries. , 2009, Journal of biomechanics.

[121]  Nicole Varble,et al.  A Simple Flow Classification Parameter Can Discriminate Rupture Status in Intracranial Aneurysms. , 2020, Neurosurgery.

[122]  J Jeffrey Alexander,et al.  The pathobiology of aortic aneurysms. , 2004, The Journal of surgical research.

[123]  Roger S. Pressman,et al.  Software Engineering: A Practitioner's Approach (McGraw-Hill Series in Computer Science) , 2004 .

[124]  A. Algra,et al.  Prevalence of unruptured intracranial aneurysms, with emphasis on sex, age, comorbidity, country, and time period: a systematic review and meta-analysis , 2011, The Lancet Neurology.

[125]  Y Ventikos,et al.  Computational modelling for cerebral aneurysms: risk evaluation and interventional planning. , 2009, The British journal of radiology.

[126]  Juha E. Jääskeläinen,et al.  External Validation of the ELAPSS Score for Prediction of Unruptured Intracranial Aneurysm Growth Risk , 2019, Journal of stroke.

[127]  J. Mocco,et al.  Hemodynamic–Morphologic Discriminants for Intracranial Aneurysm Rupture , 2011, Stroke.

[128]  Keun-Hwa Jung,et al.  New Pathophysiological Considerations on Cerebral Aneurysms , 2018, Neurointervention.

[129]  S Glagov,et al.  Aneurysmal and occlusive atherosclerosis of the human abdominal aorta. , 2001, Journal of vascular surgery.

[130]  Yannis Papaharilaou,et al.  Computational Evaluation of Aortic Aneurysm Rupture Risk: What Have We Learned So Far? , 2011, Journal of endovascular therapy : an official journal of the International Society of Endovascular Specialists.

[131]  T. Christian Gasser,et al.  Biomechanical rupture risk assessment of abdominal aortic aneurysms based on a novel probabilistic rupture risk index , 2015, Journal of The Royal Society Interface.

[132]  R. Ogden,et al.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations , 2006, Journal of The Royal Society Interface.

[133]  Fernando T. Pinho,et al.  A Review of Computational Hemodynamics in Middle Cerebral Aneurysms and Rheological Models for Blood Flow , 2015 .

[134]  Shmuel Einav,et al.  The effect of angulation in abdominal aortic aneurysms: fluid–structure interaction simulations of idealized geometries , 2010, Medical & Biological Engineering & Computing.

[135]  D. Brewster,et al.  Autopsy Study of Unoperated Abdominal Aortic Aneurysms: The Case for Early Resection , 1977, Circulation.

[136]  H I Goldberg,et al.  Intracranial aneurysms: detection and characterization with MR angiography with use of an advanced postprocessing technique in a blinded-reader study. , 1997, Radiology.

[137]  Jian Guan,et al.  Validation of the unruptured intracranial aneurysm treatment score: comparison with real-world cerebrovascular practice. , 2017, Journal of neurosurgery.

[138]  G Murphy,et al.  Tissue inhibitors of matrix metalloendopeptidases. , 1995, Methods in enzymology.

[139]  L. Jou,et al.  Wall Shear Stress on Ruptured and Unruptured Intracranial Aneurysms at the Internal Carotid Artery , 2008, American Journal of Neuroradiology.

[140]  Didier Martin,et al.  Unruptured intracranial aneurysms--risk of rupture and risks of surgical intervention. , 1998, The New England journal of medicine.

[141]  Mark F Fillinger,et al.  Prediction of rupture risk in abdominal aortic aneurysm during observation: wall stress versus diameter. , 2003, Journal of vascular surgery.

[142]  J. Lindholt,et al.  Mural thrombus and the progression of abdominal aortic aneurysms: a large population-based prospective cohort study. , 2014, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[143]  Santanu Chandra,et al.  A Methodology for the Derivation of Unloaded Abdominal Aortic Aneurysm Geometry With Experimental Validation. , 2016, Journal of biomechanical engineering.

[144]  Hai-Chao Han,et al.  Fluid-structure interaction modeling of aneurysmal arteries under steady-state and pulsatile blood flow: a stability analysis , 2018, Computer methods in biomechanics and biomedical engineering.

[145]  Huseyin Enes Salman,et al.  Biomechanical Investigation of Disturbed Hemodynamics-Induced Tissue Degeneration in Abdominal Aortic Aneurysms Using Computational and Experimental Techniques , 2019, Front. Bioeng. Biotechnol..

[146]  E Georgakarakos,et al.  Peak wall stress does not necessarily predict the location of rupture in abdominal aortic aneurysms. , 2010, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[147]  F. N. van de Vosse,et al.  Patient-specific initial wall stress in abdominal aortic aneurysms with a backward incremental method. , 2007, Journal of biomechanics.

[148]  F Mut,et al.  Flow Conditions in the Intracranial Aneurysm Lumen Are Associated with Inflammation and Degenerative Changes of the Aneurysm Wall , 2017, American Journal of Neuroradiology.

[149]  Mark F Fillinger,et al.  In vivo analysis of mechanical wall stress and abdominal aortic aneurysm rupture risk. , 2002, Journal of vascular surgery.

[150]  Eric L. Miller,et al.  3D Shape Analysis of Intracranial Aneurysms Using the Writhe Number as a Discriminant for Rupture , 2011, Annals of Biomedical Engineering.

[151]  D Bergqvist,et al.  Diameter and compliance in the male human abdominal aorta: influence of age and aortic aneurysm. , 1992, European journal of vascular surgery.

[152]  A. Malek,et al.  Cerebral aneurysm wall thickness analysis using intraoperative microscopy: effect of size and gender on thin translucent regions , 2012, Journal of NeuroInterventional Surgery.

[153]  J Swedenborg,et al.  Biomechanical rupture risk assessment of abdominal aortic aneurysms: model complexity versus predictability of finite element simulations. , 2010, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[154]  Juan R Cebral,et al.  Computational fluid dynamics in brain aneurysms , 2012, International journal for numerical methods in biomedical engineering.

[155]  C. M. Scotti,et al.  Wall stress and flow dynamics in abdominal aortic aneurysms: finite element analysis vs. fluid–structure interaction , 2008, Computer methods in biomechanics and biomedical engineering.

[156]  T. Christian Gasser,et al.  Biomechanical indices are more sensitive than diameter in predicting rupture of asymptomatic abdominal aortic aneurysms. , 2020, Journal of vascular surgery.

[157]  T. Tezduyar,et al.  Fluid–structure Interaction Modeling of Aneurysmal Conditions with High and Normal Blood Pressures , 2006 .

[158]  Santanu Chandra,et al.  The Role of Geometric and Biomechanical Factors in Abdominal Aortic Aneurysm Rupture Risk Assessment , 2013, Annals of Biomedical Engineering.

[159]  A. Avolio,et al.  Quantification of alterations in structure and function of elastin in the arterial media. , 1998, Hypertension.

[160]  Prahlad G. Menon,et al.  A Comparative Classification Analysis of Abdominal Aortic Aneurysms by Machine Learning Algorithms , 2020, Annals of Biomedical Engineering.

[161]  Erik Buskens,et al.  A randomized trial comparing conventional and endovascular repair of abdominal aortic aneurysms. , 2004, The New England journal of medicine.

[162]  Shuang Xia,et al.  Development and validation of machine learning prediction model based on computed tomography angiography–derived hemodynamics for rupture status of intracranial aneurysms: a Chinese multicenter study , 2020, European Radiology.

[163]  Thomas Unger,et al.  Transition from atherosclerosis to aortic aneurysm in humans coincides with an increased expression of RAS components. , 2009, Atherosclerosis.

[164]  Y. Orz,et al.  The impact of size and location on rupture of intracranial aneurysms , 2015, Asian journal of neurosurgery.

[165]  Michael T Walsh,et al.  Vessel asymmetry as an additional diagnostic tool in the assessment of abdominal aortic aneurysms. , 2009, Journal of vascular surgery.

[166]  Marko Kangasniemi,et al.  Growth Factor Receptor Expression and Remodeling of Saccular Cerebral Artery Aneurysm Walls: Implications for Biological Therapy Preventing Rupture , 2006, Neurosurgery.

[167]  T Christian Gasser,et al.  Biomechanical Rupture Risk Assessment , 2016, AORTA.

[168]  Alvaro Valencia,et al.  Fluid Structural Analysis of Human Cerebral Aneurysm Using Their Own Wall Mechanical Properties , 2013, Comput. Math. Methods Medicine.

[169]  T. Mayer,et al.  The unruptured intracranial aneurysm treatment score: A multidisciplinary consensus , 2016, Neurology.

[170]  S. C. Hunley,et al.  Simulation of abdominal aortic aneurysm growth with updating hemodynamic loads using a realistic geometry. , 2011, Medical engineering & physics.

[171]  Alan J. Barrett,et al.  Proteolytic enzymes : aspartic and metallo peptidases , 1995 .

[172]  Stein Harald Johnsen,et al.  Atherosclerosis in Abdominal Aortic Aneurysms: A Causal Event or a Process Running in Parallel? The Tromsø Study , 2010, Arteriosclerosis, thrombosis, and vascular biology.

[173]  M. R. Roach,et al.  The composition and mechanical properties of abdominal aortic aneurysms. , 1994, Journal of vascular surgery.

[174]  J. Lindholt,et al.  Basic Science Review: Vascular Distensibility as a Predictive Tool in the Management of Small Asymptomatic Abdominal Aortic Aneurysms , 2009 .

[175]  Woowon Jeong,et al.  Hemodynamics of Cerebral Aneurysms: Computational Analyses of Aneurysm Progress and Treatment , 2012, Comput. Math. Methods Medicine.

[176]  Jianping Xiang,et al.  Hemodynamic–morphological discriminant models for intracranial aneurysm rupture remain stable with increasing sample size , 2014, Journal of NeuroInterventional Surgery.

[177]  M. L. Raghavan,et al.  Non-Invasive Determination of Zero-Pressure Geometry of Arterial Aneurysms , 2006, Annals of Biomedical Engineering.

[178]  N. Greig,et al.  TNF-α Induces Phenotypic Modulation in Cerebral Vascular Smooth Muscle Cells: Implications for Cerebral Aneurysm Pathology , 2013, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[179]  Yun X. Xu,et al.  Patient-specific biomechanical profiling in abdominal aortic aneurysm development and rupture. , 2010, Journal of vascular surgery.

[180]  D. Nichols,et al.  Unruptured intracranial aneurysms: natural history, clinical outcome, and risks of surgical and endovascular treatment , 2003, The Lancet.

[181]  C. Putman,et al.  Quantitative Characterization of the Hemodynamic Environment in Ruptured and Unruptured Brain Aneurysms , 2010, American Journal of Neuroradiology.

[182]  Toshihiro Ishibashi,et al.  Development of the PHASES score for prediction of risk of rupture of intracranial aneurysms: a pooled analysis of six prospective cohort studies , 2014, The Lancet Neurology.

[183]  A James O'Malley,et al.  Endovascular vs . Open Repair of Abdominal Aortic Aneurysms in the Medicare Population , 2008 .

[184]  Gerhard A. Holzapfel,et al.  Structure, Mechanics, and Histology of Intraluminal Thrombi in Abdominal Aortic Aneurysms , 2015, Annals of Biomedical Engineering.

[185]  M J Fagan,et al.  A comparative study of aortic wall stress using finite element analysis for ruptured and non-ruptured abdominal aortic aneurysms. , 2004, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[186]  Shmuel Einav,et al.  Progression of Abdominal Aortic Aneurysm Towards Rupture: Refining Clinical Risk Assessment Using a Fully Coupled Fluid–Structure Interaction Method , 2014, Annals of Biomedical Engineering.

[187]  Y. Papaharilaou,et al.  The role of geometric parameters in the prediction of abdominal aortic aneurysm wall stress. , 2010, European journal of vascular and endovascular surgery : the official journal of the European Society for Vascular Surgery.

[188]  J D Humphrey,et al.  Mechanics, mechanobiology, and modeling of human abdominal aorta and aneurysms. , 2012, Journal of biomechanics.

[189]  Kenji Takizawa,et al.  Space–time fluid–structure interaction modeling of patient‐specific cerebral aneurysms , 2011 .

[190]  Y Ventikos,et al.  Modelling evolution and the evolving mechanical environment of saccular cerebral aneurysms , 2011, Biomechanics and modeling in mechanobiology.