A 2D Mathematical Model of Blood Flow and its Interactions in an Atherosclerotic Artery, Math. Model. Nat. Phenom, 2014. ,
Generalized Navier-Stokes Equations with Nonstandard Conditions for Blood Flow in Atherosclerotic Artery, 2015. ,
Simplified fluide-structure interactions for hemodynamics, Coupled Problems in Engineering, pp.57-70, 2014. ,
Pressure boundary conditions for blood flows, Chinese Annals of Mathematics, vol.36, issue.5, pp.829-842, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00865671
High-order fluid-structure interaction in 2D and 3D. Application to blood flow in arteries, Journal of Computational and Applied Mathematics, vol.246, pp.1-9, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00657154
Outflow boundary conditions for three-dimensional finite element modelling of blood flow and pressure in arteries, Computer methods in applied mechanics and engineering, vol.195, pp.3776-3796, 2006. ,
A reduced computational and geometrical framework for inverse problems in haemodynamics, International Journal for numerical methods in biomedical engineering, pp.1-35, 2013. ,
Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction, Physics Elsevier, vol.297, pp.156-181, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00918498
Fractional Flow Reserve Calculation From 3-Dimensional Quantitative Coronary Angiography and TIMI Frame Count, Jacc Cardiovascular interventions, vol.7, 2014. ,
Virtual (Computed) Fractional Flow Reserve : Current Challenges and Limitations, JACC Cardiovasc Interv, vol.8, issue.8, pp.1009-1017, 2015. ,
Fractional flow reserve versus angiography for guidance of PCI in patients with multivessel coronary artery disease (FAME): 5-year follow-up of a randomised controlled trial, Lancet, 2015. ,
, Forward and Inverse Problems in Fluid-Structure Interaction. Application to Hemodynamics. Numerical Analysis
URL : https://hal.archives-ouvertes.fr/tel-00768188
Novel Approach for 3-D Reconstruction of Coronary Arteries From Two Uncalibrated Angiographic Images, Ieee transactions on image processing, vol.18, issue.7, 2009. ,
How Critical Is Fibrous Cap Thickness to Carotid Plaque Stability, A Flow-Plaque Interaction Model, vol.37, pp.1195-1199, 2006. ,
Standardization of Fractional Flow Reserve Measurements, vol.68, 2016. ,
Qu'est-ce que la FFR ? Comment l'utiliser ? Réalités Cardiologiques, 2013. ,
Correlation Between Intracoronary Ultrasound and Fractional Flow Reserve in Long Coronary Lesions. A Three-dimensional Intracoronary Ultrasound Study, Rev Esp Cardiol (Engl Ed), vol.66, issue.9, pp.707-721, 2013. ,
Model of Aortic Blood Flow using the Windkessel effect, Report BENG 221 -Mathematical Methods in Bioengineering, 2012. ,
Image-based modelling of blood flow and vessel wall dynamics: Applications, Methods and Future Directions, Ann Biomed Eng, vol.38, issue.3, pp.1188-203, 2010. ,
Influence of model boundary conditions on blood flow patterns in a patient-specific stenotic right coronary artery, BioMed Eng OnLine, vol.14, issue.1, p.1, 2015. ,
, Model of Aortic Blood Flow using the Windkessel Effect. Report : BENG 221 -Mathematical Methods in Bioengineering, 2012.
A coupled multidomain method for computational modelling of blood flow. Phd thesis, Department of mechanical engineering, 2006. ,
, , 2006.
, Die Grundform des arteriellen pulses: Mathematische Analyse. Erste Abhandlung. Zeitung für Biologie, 1899.
Standardization of Fractional Flow Reserve Measurements, J Am Coll Cardiol, vol.68, issue.7, pp.742-53, 2016. ,
Flow recirculation zone length and shear rate are differentially affected by stenosis severity in human coronary arteries, Am J Physiol Heart Circ Physiol, vol.304, issue.4, pp.559-66, 2013. ,
Adaptive mesh generation for curved domains, Applied Numerical Mathematics, vol.52, pp.251-278, 2005. ,
Numerical simulation of the fractional flow reserve (FFR) Mathematical Modelling of Physiological Flows, Math. Model. Nat. Phenom, vol.13, issue.6, 2018. ,
A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries, Applied Mathematics and Computation, vol.321, pp.176-194, 2018. ,
Image processing: Image filtering and segmentation. OMPSCI 373 Computer Graphics and Image Processing, 2013. ,
Estimating the accuracy of a reduced-order model for the calculation of fractional flow reserve (FFR), Int J Numer Method Biomed Eng, vol.34, 2017. ,
Patient-specific modeling of blood flow and pressure in human coronary arteries, Ann Biomed Eng, vol.38, issue.10, pp.3195-209, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00542692
ACIST-FFR Study (Assessment of Catheter-Based Interrogation and Standard Techniques for Fractional Flow Reserve Measurement), Circ Cardiovasc Interv, vol.10, issue.12, p.5905, 2017. ,
, New Wires and a Pressure, vol.24, 2016.
Quantification of the Effect of Pressure Wire Drift on the Diagnostic Performance of Fractional Flow Reserve, Instantaneous Wave-Free Ratio, and Whole-Cycle Pd/Pa, Circulation: Cardiovascular Interventions, vol.9, p.2988, 2016. ,
Fractional Flow Reserve versus Angiography for Guiding Percutaneous Coronary Intervention, N Engl J Med, vol.360, pp.213-224, 2009. ,
Biomechanics of the blood vessels Medicina Kiadó, 1986. ,
, Tetgen manual
Gaussian Processes for Machine Learning, 2006. ,
Network meta-analysis comparing iFR versus FFR versus coronary angiography to drive coronary revascularization, J Interv Cardiol, vol.31, issue.6, pp.725-730, 2018. ,
Instant Wave-Free Ratio or Fractional Flow Reserve for Hemodynamic Coronary Lesion Assessment? Yes, Just Do It! Circ Cardiovasc Interv, 2018. ,
, , vol.11, p.6284
, Standardization of Fractional Flow Reserve Measurements, vol.68, pp.742-753, 2016.
, FUTURE trial
, J. Phys.: Conf. Ser, vol.332, p.12048, 2011.
Blood vessel segmentation algorithms -Review of methods, datasets and evaluation metrics, Computer Methods and Programs in Biomedicine, vol.158, pp.71-91, 2018. ,
Atherosclerosis Initiation Modeled as an Inflammatory Process, Math. Model. Nat. Phenom, vol.2, issue.2, pp.126-141, 2007. ,
, Methods of Blood Flow Modelling, vol.11, pp.1-25, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01397437
, Modelling of thrombus growth in flow with a DPD-PDE method, vol.337, 2013.
Curved Elements in the Finite Element Method SIAM, J. Numer. Anal, vol.10, issue.1, pp.229-240, 2006. ,
Pressure wire versus microcatheter for FFR measurement: a head-to-head comparison, EuroIntervention, vol.13, issue.15, pp.1850-1856, 2018. ,