Modeling Stented Coronary Arteries: Where We are, Where to Go

In the last two decades, numerical models have become well-recognized and widely adopted tools to investigate stenting procedures. Due to limited computational resources and modeling capabilities, early numerical studies only involved simplified cases and idealized stented arteries. Nowadays, increased computational power allows for numerical models to meet clinical needs and include more complex cases such as the implantation of multiple stents in bifurcations or curved vessels. Interesting progresses have been made in the numerical modeling of stenting procedures both from a structural and a fluid dynamics points of view. Moreover, in the drug eluting stents era, new insights on drug elution capabilities are becoming essential in the stent development. Lastly, image-based methods able to reconstruct realistic geometries from medical images have been proposed in the recent literature aiming to better describe the peculiar anatomical features of coronary vessels and increase the accuracy of the numerical models. In this light, this review provides a comprehensive analysis of the current state-of-the-art in this research area, discussing the main methodological advances and remarkable results drawn from a number of significant studies.

[1]  Pascal Verdonck,et al.  Realistic finite element-based stent design: the impact of balloon folding. , 2008, Journal of biomechanics.

[2]  Lorenza Petrini,et al.  On the effects of different strategies in modelling balloon-expandable stenting by means of finite element method. , 2008, Journal of biomechanics.

[3]  Lorenza Petrini,et al.  Assessment of tissue prolapse after balloon-expandable stenting: influence of stent cell geometry. , 2009, Medical engineering & physics.

[4]  J. Gunn,et al.  Multi-scale simulations of the dynamics of in-stent restenosis: impact of stent deployment and design , 2011, Interface Focus.

[5]  Katrin Sternberg,et al.  Mechanical properties of laser cut poly(L-lactide) micro-specimens: implications for stent design, manufacture, and sterilization. , 2005, Journal of biomechanical engineering.

[6]  M. Pfisterer,et al.  Late stent thrombosis after drug-eluting stent implantation for acute myocardial infarction: a new red flag is raised. , 2008, Circulation.

[7]  F. Auricchio,et al.  Haemodynamic impact of stent–vessel (mal)apposition following carotid artery stenting: mind the gaps! , 2013, Computer methods in biomechanics and biomedical engineering.

[8]  Yiannis S. Chatzizisis,et al.  Role of endothelial shear stress in stent restenosis and thrombosis: pathophysiologic mechanisms and implications for clinical translation. , 2012, Journal of the American College of Cardiology.

[9]  David A. Steinman,et al.  Image-Based Modeling of Blood Flow and Vessel Wall Dynamics: Applications, Methods and Future Directions , 2010, Annals of Biomedical Engineering.

[10]  P. Serruys,et al.  Evaluation of endothelial shear stress and 3D geometry as factors determining the development of atherosclerosis and remodeling in human coronary arteries in vivo. Combining 3D reconstruction from angiography and IVUS (ANGUS) with computational fluid dynamics. , 1997, Arteriosclerosis, thrombosis, and vascular biology.

[11]  G Dubini,et al.  Modelling drug elution from stents: effects of reversible binding in the vascular wall and degradable polymeric matrix , 2008, Computer methods in biomechanics and biomedical engineering.

[12]  E. Brilakis,et al.  Stent fracture: Broken stents—Broken hearts , 2011, Catheterization and cardiovascular interventions : official journal of the Society for Cardiac Angiography & Interventions.

[13]  Theo van Walsum,et al.  3D fusion of intravascular ultrasound and coronary computed tomography for in-vivo wall shear stress analysis: a feasibility study , 2010, The International Journal of Cardiovascular Imaging.

[14]  Paolo Zunino,et al.  Multidimensional Pharmacokinetic Models Applied to the Design of Drug-Eluting Stents , 2004 .

[15]  Francesco Migliavacca,et al.  Hemodynamics and In-stent Restenosis: Micro-CT Images, Histology, and Computer Simulations , 2011, Annals of Biomedical Engineering.

[16]  Masataka Nakano,et al.  Atheroma and coronary bifurcations: before and after stenting. , 2010, EuroIntervention : journal of EuroPCR in collaboration with the Working Group on Interventional Cardiology of the European Society of Cardiology.

[17]  Alison L. Marsden,et al.  Identification of Hemodynamically Optimal Coronary Stent Designs Based on Vessel Caliber , 2012, IEEE Transactions on Biomedical Engineering.

[18]  Francesco Migliavacca,et al.  Drug release from coronary eluting stents: A multidomain approach. , 2010, Journal of biomechanics.

[19]  Hadar Marom,et al.  Bifurcation lesions in the coronary arteries: early experience with a novel 3-dimensional imaging and quantitative analysis before and after stenting. , 2007, EuroIntervention : journal of EuroPCR in collaboration with the Working Group on Interventional Cardiology of the European Society of Cardiology.

[20]  J. Gunn,et al.  Coronary artery stretch versus deep injury in the development of in-stent neointima , 2002, Heart.

[21]  Shawn C. Shadden,et al.  A Rapid and Computationally Inexpensive Method to Virtually Implant Current and Next-Generation Stents into Subject-Specific Computational Fluid Dynamics Models , 2011, Annals of Biomedical Engineering.

[22]  Sean B. Leen,et al.  Micromechanical methodology for fatigue in cardiovascular stents , 2012 .

[23]  Lorenza Petrini,et al.  A predictive study of the mechanical behaviour of coronary stents by computer modelling. , 2005, Medical engineering & physics.

[24]  João S Soares,et al.  Deformation-induced hydrolysis of a degradable polymeric cylindrical annulus , 2010, Biomechanics and modeling in mechanobiology.

[25]  A. Tzafriri,et al.  Strut Position, Blood Flow, and Drug Deposition: Implications for Single and Overlapping Drug-Eluting Stents , 2005, Circulation.

[26]  E. Edelman,et al.  Pathobiologic responses to stenting. , 1998, The American journal of cardiology.

[27]  Francesco Migliavacca,et al.  Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents , 2011, SIAM J. Appl. Math..

[28]  R. Abbate,et al.  Role of hemodynamic shear stress in cardiovascular disease. , 2011, Atherosclerosis.

[29]  Alun D. Hughes,et al.  Evidence of a Dominant Backward-Propagating “Suction” Wave Responsible for Diastolic Coronary Filling in Humans, Attenuated in Left Ventricular Hypertrophy , 2006, Circulation.

[30]  P Zunino,et al.  Expansion and drug elution model of a coronary stent , 2007, Computer methods in biomechanics and biomedical engineering.

[31]  Isam Faik,et al.  Effects of diffusion coefficients and struts apposition using numerical simulations for drug eluting coronary stents. , 2007, Journal of biomechanical engineering.

[32]  Fergal Boyle,et al.  A Numerical Methodology to Fully Elucidate the Altered Wall Shear Stress in a Stented Coronary Artery , 2010 .

[33]  Alejandro F Frangi,et al.  Deployment of self-expandable stents in aneurysmatic cerebral vessels: comparison of different computational approaches for interventional planning , 2012, Computer methods in biomechanics and biomedical engineering.

[34]  Antonio Colombo,et al.  Randomized Study to Evaluate Sirolimus-Eluting Stents Implanted at Coronary Bifurcation Lesions , 2004, Circulation.

[35]  J. LaDisa,et al.  Coronary artery bifurcation biomechanics and implications for interventional strategies , 2010, Catheterization and cardiovascular interventions : official journal of the Society for Cardiac Angiography & Interventions.

[36]  Fred J. Clubb,et al.  INCREASED ARTERY WALL STRESS POST-STENTING LEADS TO GREATER INTIMAL THICKENING , 2010, Laboratory Investigation.

[37]  S. Al-Hassani,et al.  A method for investigating the mechanical properties of intracoronary stents using finite element numerical simulation. , 2001, International journal of cardiology.

[38]  P Segers,et al.  Patient-specific computational haemodynamics: generation of structured and conformal hexahedral meshes from triangulated surfaces of vascular bifurcations , 2011, Computer methods in biomechanics and biomedical engineering.

[39]  Yunlong Huo,et al.  Which diameter and angle rule provides optimal flow patterns in a coronary bifurcation? , 2012, Journal of biomechanics.

[40]  Claudio Chiastra,et al.  Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study , 2013, Biomechanics and modeling in mechanobiology.

[41]  Pascal Verdonck,et al.  Finite element analysis of side branch access during bifurcation stenting. , 2009, Medical engineering & physics.

[42]  Fergal Boyle,et al.  Predicting neointimal hyperplasia in stented arteries using time-dependant computational fluid dynamics: A review , 2010, Comput. Biol. Medicine.

[43]  Lorenza Petrini,et al.  Numerical investigation of the intravascular coronary stent flexibility. , 2004, Journal of biomechanics.

[44]  E. Edelman,et al.  Luminal Flow Amplifies Stent-Based Drug Deposition in Arterial Bifurcations , 2009, PloS one.

[45]  Katrin Sternberg,et al.  Mechanical Properties of a Biodegradable Balloon-expandable Stent From Poly(L-lactide) for Peripheral Vascular Applications , 2007 .

[46]  Luca Antiga,et al.  Geometric reconstruction for computational mesh generation of arterial bifurcations from CT angiography. , 2002, Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society.

[47]  Shijia Zhao,et al.  Finite Element Analysis of the Implantation of a Self-Expanding Stent: Impact of Lesion Calcification , 2012 .

[48]  P. Serruys,et al.  True 3-dimensional reconstruction of coronary arteries in patients by fusion of angiography and IVUS (ANGUS) and its quantitative validation. , 2000, Circulation.

[49]  F. Etave,et al.  Mechanical properties of coronary stents determined by using finite element analysis. , 2001, Journal of biomechanics.

[50]  Patrick W Serruys,et al.  Coronary stents: looking forward. , 2010, Journal of the American College of Cardiology.

[51]  Francesco Migliavacca,et al.  Numerical simulation of drug eluting coronary stents: Mechanics, fluid dynamics and drug release , 2009 .

[52]  Giuseppe Pontrelli,et al.  Novel design of drug delivery in stented arteries: a numerical comparative study. , 2009, Mathematical biosciences and engineering : MBE.

[53]  Elazer R Edelman,et al.  Intravascular drug release kinetics dictate arterial drug deposition, retention, and distribution. , 2007, Journal of controlled release : official journal of the Controlled Release Society.

[54]  James E. Moore,et al.  Biodegradable Stents: Biomechanical Modeling Challenges and Opportunities , 2010 .

[55]  P. Doriot,et al.  In‐vivo measurements of wall shear stress in human coronary arteries , 2000, Coronary artery disease.

[56]  J. Schmitt,et al.  Intravascular optical coherence tomography opens a window onto coronary artery disease , 2004 .

[57]  Michele Occhipinti,et al.  A novel 3-d reconstruction system for the assessment of bifurcation lesions treated by the mini-crush technique. , 2010, Journal of interventional cardiology.

[58]  E. Edelman,et al.  Computational simulations of local vascular heparin deposition and distribution. , 1996, The American journal of physiology.

[59]  Silvia Schievano,et al.  Patient specific finite element analysis results in more accurate prediction of stent fractures: application to percutaneous pulmonary valve implantation. , 2010, Journal of biomechanics.

[60]  Claudio Chiastra,et al.  Sequential structural and fluid dynamic numerical simulations of a stented bifurcated coronary artery. , 2011, Journal of biomechanical engineering.

[61]  Dimitrios I Fotiadis,et al.  A method for 3D reconstruction of coronary arteries using biplane angiography and intravascular ultrasound images. , 2005, Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society.

[62]  Dawn Walker,et al.  A Complex Automata approach for in-stent restenosis: Two-dimensional multiscale modelling and simulations , 2011, J. Comput. Sci..

[63]  Pascal Verdonck,et al.  A Novel Simulation Strategy for Stent Insertion and Deployment in Curved Coronary Bifurcations: Comparison of Three Drug-Eluting Stents , 2009, Annals of Biomedical Engineering.

[64]  D R Hose,et al.  A Thermal Analogy for Modelling Drug Elution from Cardiovascular Stents , 2004, Computer methods in biomechanics and biomedical engineering.

[65]  Giovanni Biglino,et al.  Finite Element Strategies to Satisfy Clinical and Engineering Requirements in the Field of Percutaneous Valves , 2012, Annals of Biomedical Engineering.

[66]  Gerhard Sommer,et al.  Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling. , 2005, American journal of physiology. Heart and circulatory physiology.

[67]  P. Serruys,et al.  Herz Classification and Current Treatment Options of In-Stent Restenosis Present Status and Future Perspectives , 2004 .

[68]  Garrett J. Hall,et al.  Comparison of element technologies for modeling stent expansion. , 2006, Journal of biomechanical engineering.

[69]  J J Wentzel,et al.  Relationship Between Neointimal Thickness and Shear Stress After Wallstent Implantation in Human Coronary Arteries , 2001, Circulation.

[70]  Francesco Migliavacca,et al.  Effects of different stent designs on local hemodynamics in stented arteries. , 2008, Journal of biomechanics.

[71]  L. Gibson,et al.  Static circumferential tangential modulus of human atherosclerotic tissue. , 1994, Journal of biomechanics.

[72]  Alejandro F. Frangi,et al.  3D Modeling of Coronary Artery Bifurcations from CTA and Conventional Coronary Angiography , 2011, MICCAI.

[73]  C D Murray,et al.  The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.

[74]  F. Auricchio,et al.  Mechanical behavior of coronary stents investigated through the finite element method. , 2002, Journal of biomechanics.

[75]  Gijs van Soest,et al.  Atherosclerotic tissue characterization in vivo by optical coherence tomography attenuation imaging. , 2010, Journal of biomedical optics.

[76]  David Martin,et al.  Computational structural modelling of coronary stent deployment: a review , 2011, Computer methods in biomechanics and biomedical engineering.

[77]  Francesco Burzotta,et al.  INtimal hyPerplasia evAluated by oCT in de novo COROnary lesions treated by drug-eluting balloon and bare-metal stent (IN-PACT CORO): study protocol for a randomized controlled trial , 2012, Trials.

[78]  Elazer R Edelman,et al.  Thrombus causes fluctuations in arterial drug delivery from intravascular stents. , 2008, Journal of controlled release : official journal of the Controlled Release Society.

[79]  M. Monkenbusch,et al.  Present status and future perspectives , 2010 .

[80]  Bernard Chevalier,et al.  Is there a need for dedicated bifurcation devices? , 2010, EuroIntervention : journal of EuroPCR in collaboration with the Working Group on Interventional Cardiology of the European Society of Cardiology.

[81]  Peter Mortier,et al.  Kissing balloon or sequential dilation of the side branch and main vessel for provisional stenting of bifurcations: lessons from micro-computed tomography and computational simulations. , 2012, JACC. Cardiovascular interventions.

[82]  Sanjay Pant,et al.  Geometry parameterization and multidisciplinary constrained optimization of coronary stents , 2011, Biomechanics and Modeling in Mechanobiology.

[83]  Pascal Verdonck,et al.  Comparison of drug-eluting stent cell size using micro-CT: important data for bifurcation stent selection. , 2008, EuroIntervention : journal of EuroPCR in collaboration with the Working Group on Interventional Cardiology of the European Society of Cardiology.

[84]  F. N. van de Vosse,et al.  The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees. , 2011, Journal of biomechanics.

[85]  Lorenza Petrini,et al.  Finite element analyses for design evaluation of biodegradable magnesium alloy stents in arterial vessels , 2011 .

[86]  Michael T. Walsh,et al.  Demonstrating the Influence of Compression on Artery Wall Mass Transport , 2010, Annals of Biomedical Engineering.

[87]  Rosaire Mongrain,et al.  Numerical modeling of coronary drug eluting stents. , 2005, Studies in health technology and informatics.

[88]  L Petrini,et al.  Continuum damage model for bioresorbable magnesium alloy devices - Application to coronary stents. , 2011, Journal of the mechanical behavior of biomedical materials.

[89]  Caitríona Lally,et al.  The influence of plaque composition on underlying arterial wall stress during stent expansion: the case for lesion-specific stents. , 2009, Medical engineering & physics.

[90]  Claudio Chiastra,et al.  Computational fluid dynamics of stented coronary bifurcations studied with a hybrid discretization method , 2012 .

[91]  David A. Steinman,et al.  Image-Based Computational Fluid Dynamics Modeling in Realistic Arterial Geometries , 2002, Annals of Biomedical Engineering.

[92]  Hubert Cochet,et al.  Coronary imaging techniques with emphasis on CT and MRI , 2011, Pediatric Radiology.

[93]  Johan H. C. Reiber,et al.  Fusion of 3D QCA and IVUS/OCT , 2011, The International Journal of Cardiovascular Imaging.

[94]  Jouke Dijkstra,et al.  Offline fusion of co-registered intravascular ultrasound and frequency domain optical coherence tomography images for the analysis of human atherosclerotic plaques. , 2012, EuroIntervention : journal of EuroPCR in collaboration with the Working Group on Interventional Cardiology of the European Society of Cardiology.

[95]  P E McHugh,et al.  A corrosion model for bioabsorbable metallic stents. , 2011, Acta biomaterialia.

[96]  Peter E. McHugh,et al.  A MULTISCALE APPROACH TO FAILURE ASSESSMENT IN DEPLOYMENT FOR CARDIOVASCULAR STENTS , 2010 .

[97]  Caitríona Lally,et al.  Simulation of a balloon expandable stent in a realistic coronary artery-Determination of the optimum modelling strategy. , 2010, Journal of biomechanics.

[98]  Timothy J. Gundert,et al.  Local hemodynamic changes caused by main branch stent implantation and subsequent virtual side branch balloon angioplasty in a representative coronary bifurcation. , 2010, Journal of applied physiology.

[99]  Leonard E. Schwer,et al.  An overview of the PTC 60/V&V 10: guide for verification and validation in computational solid mechanics , 2007, Engineering with Computers.

[100]  Giuseppe Pontrelli,et al.  A multi-layer porous wall model for coronary drug-eluting stents , 2010 .

[101]  E. Edelman,et al.  Physiological Transport Forces Govern Drug Distribution for Stent-Based Delivery , 2001, Circulation.

[102]  Timothy J. Gundert,et al.  Optical Coherence Tomography for Patient-specific 3D Artery Reconstruction and Evaluation of Wall Shear Stress in a Left Circumflex Coronary Artery , 2011 .

[103]  Wei Wu,et al.  Finite Element Shape Optimization for Biodegradable Magnesium Alloy Stents , 2010, Annals of Biomedical Engineering.

[104]  Jack Lee,et al.  The Multi-Scale Modelling of Coronary Blood Flow , 2012, Annals of Biomedical Engineering.

[105]  Silvia Schievano,et al.  Simulation of Stent Deployment in a Realistic Human Coronary Artery , 2008 .

[106]  Patrick W Serruys,et al.  In vivo assessment of high-risk coronary plaques at bifurcations with combined intravascular ultrasound and optical coherence tomography. , 2009, JACC. Cardiovascular imaging.

[107]  Renu Virmani,et al.  Incidence and predictors of drug-eluting stent fracture in human coronary artery a pathologic analysis. , 2009, Journal of the American College of Cardiology.

[108]  Heath B. Henninger,et al.  Validation of computational models in biomechanics , 2010, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[109]  Michael T Walsh,et al.  Factors that affect mass transport from drug eluting stents into the artery wall , 2010, Biomedical engineering online.

[110]  V. Deplano,et al.  Three-dimensional numerical simulations of physiological flows in a stented coronary bifurcation , 2004, Medical and Biological Engineering and Computing.

[111]  Samin K. Sharma,et al.  Coronary bifurcation lesions: a current update. , 2010, Cardiology clinics.

[112]  Gabriele Dubini,et al.  Modelling of the provisional side-branch stenting approach for the treatment of atherosclerotic coronary bifurcations: effects of stent positioning , 2010, Biomechanics and modeling in mechanobiology.

[113]  Robert Burgermeister,et al.  Fatigue and life prediction for cobalt-chromium stents: A fracture mechanics analysis. , 2006, Biomaterials.

[114]  G. Holzapfel,et al.  Experimental Studies and Numerical Analysis of the Inflation and Interaction of Vascular Balloon Catheter-Stent Systems , 2009, Annals of Biomedical Engineering.

[115]  João S. Soares,et al.  Constitutive Framework for Biodegradable Polymers with Applications to Biodegradable Stents , 2008, ASAIO journal.