Skip to main content
Top
Published in: Medical & Biological Engineering & Computing 2/2012

01-02-2012 | Original Article

Synthetic dataset generation for the analysis and the evaluation of image-based hemodynamics of the human aorta

Authors: Umberto Morbiducci, Raffaele Ponzini, Giovanna Rizzo, Marco Evanghelos Biancolini, Francesco Iannaccone, Diego Gallo, Alberto Redaelli

Published in: Medical & Biological Engineering & Computing | Issue 2/2012

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Here, we consider the issue of generating a suitable controlled environment for the evaluation of phase contrast (PC) MRI measurements. The computational framework, tailored to build synthetic datasets, is based on a two-step approach, i.e., define and implement (1) an accurate CFD model and (2) an image generator able to mime the overall outcomes of a PC MRI acquisition starting from datasets retrieved by the computational model. About 20 different datasets were built by changing relevant image parameters (pixel size, slice thickness, time frames per cardiac cycle). Focusing our attention on the thoracic aorta, synthetic images were processed in order to: (1) verify to which extent the fluid dynamics into the aortic arch is influenced by the image parameters; (2) establish the effect of spatial and temporal interpolation. Our study demonstrates that the integral scale of the aortic bulk flow could be described satisfactorily even when using images which are nowadays acquirable with MRI scanners. However, attention must be paid to near-wall velocities that can be affected by large inaccuracy. In detail, in bulk flow regions error values are well bounded (below 5% for most of the analyzed resolutions), while errors greater than 100% are systematically present at the vessel’s wall. Moreover, also the data interpolation process can be responsible for large inaccuracies in new data generation, due to the inherent complexity of the flow field in some connected regions.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference Bakker CJG, Hoogeveen RM, Viergever MA (1999) Construction of a protocol for measuring blood flow by two-dimensional phase-contrast MRA. J Magn Reson Imaging 9:119–127PubMedCrossRef Bakker CJG, Hoogeveen RM, Viergever MA (1999) Construction of a protocol for measuring blood flow by two-dimensional phase-contrast MRA. J Magn Reson Imaging 9:119–127PubMedCrossRef
2.
go back to reference Bernstein MA, King KF, Zhou XJ (2004) Handbook of MRI pulse sequences. Elsevier Academic Press, USA Bernstein MA, King KF, Zhou XJ (2004) Handbook of MRI pulse sequences. Elsevier Academic Press, USA
3.
go back to reference Bernstein MA, Zhou XJ, Polzin JA, King KF, Ganin A, Pelc NJ, Glover GH (1998) Concomitant gradient terms in phase contrast MR: analysis and correction. Magn Reson Med 39:300–308PubMedCrossRef Bernstein MA, Zhou XJ, Polzin JA, King KF, Ganin A, Pelc NJ, Glover GH (1998) Concomitant gradient terms in phase contrast MR: analysis and correction. Magn Reson Med 39:300–308PubMedCrossRef
4.
go back to reference Bogren HG, Buonocore MH, Valente RJ (2004) Four-dimensional magnetic resonance velocity mapping of blood flow patterns in the aorta in patients with atherosclerotic coronary artery disease compared to age-matched normal subjects. J Magn Reson Imaging 19:417–427PubMedCrossRef Bogren HG, Buonocore MH, Valente RJ (2004) Four-dimensional magnetic resonance velocity mapping of blood flow patterns in the aorta in patients with atherosclerotic coronary artery disease compared to age-matched normal subjects. J Magn Reson Imaging 19:417–427PubMedCrossRef
5.
go back to reference Dean R (1928) Fluid motion in a curved channel. Proc Roy Soc London A 121:402–420CrossRef Dean R (1928) Fluid motion in a curved channel. Proc Roy Soc London A 121:402–420CrossRef
6.
go back to reference Frydrychowicz A, Stalder AF, Russe MF, Bock J, Bauer S, Harloff A, Berger A, Langer M, Hennig J, Markl M (2009) Three-dimensional analysis of segmental wall shear stress in the aorta by flow-sensitive four-dimensional-MRI. J Magn Reson Imaging 30:77–84PubMedCrossRef Frydrychowicz A, Stalder AF, Russe MF, Bock J, Bauer S, Harloff A, Berger A, Langer M, Hennig J, Markl M (2009) Three-dimensional analysis of segmental wall shear stress in the aorta by flow-sensitive four-dimensional-MRI. J Magn Reson Imaging 30:77–84PubMedCrossRef
7.
go back to reference Gatehouse PD, Keegan J, Crowe LA, Masood S, Mohiaddin RH, Kreitner KF, Firmin DN (2005) Applications of phase-contrast flow and velocity imaging in cardiovascular MRI. Eur Radiol 15:2172–2184PubMedCrossRef Gatehouse PD, Keegan J, Crowe LA, Masood S, Mohiaddin RH, Kreitner KF, Firmin DN (2005) Applications of phase-contrast flow and velocity imaging in cardiovascular MRI. Eur Radiol 15:2172–2184PubMedCrossRef
8.
go back to reference Gallo D, De Santis G, Negri F, Tresoldi D, Ponzini R, Massai D, Deriu MA, Segers P, Verhegghe B, Rizzo G, Morbiducci U (2012) On the use of in vivo measured flow rates as boundary conditions for image-based hemodynamic models of the human aorta. Implications for indicators of abnormal flow. Ann Biomed Eng. doi:10.1007/s10439-011-0431-1 Gallo D, De Santis G, Negri F, Tresoldi D, Ponzini R, Massai D, Deriu MA, Segers P, Verhegghe B, Rizzo G, Morbiducci U (2012) On the use of in vivo measured flow rates as boundary conditions for image-based hemodynamic models of the human aorta. Implications for indicators of abnormal flow. Ann Biomed Eng. doi:10.​1007/​s10439-011-0431-1
9.
go back to reference Grigioni M, Daniele C, Morbiducci U, Del Gaudio C, D’Avenio G, Balducci A (2005) A mathematical description of blood spiral flow in vessels: application to a numerical study of flow in arterial bending. J Biomech 38:1375–1386PubMedCrossRef Grigioni M, Daniele C, Morbiducci U, Del Gaudio C, D’Avenio G, Balducci A (2005) A mathematical description of blood spiral flow in vessels: application to a numerical study of flow in arterial bending. J Biomech 38:1375–1386PubMedCrossRef
10.
go back to reference Haacke EM, Brown RW, Thompson MR, Venkatesan R (1999) Magnetic resonance imaging. Physical principles and sequence design. Wiley-Liss (John Wiley & Sons), New York Haacke EM, Brown RW, Thompson MR, Venkatesan R (1999) Magnetic resonance imaging. Physical principles and sequence design. Wiley-Liss (John Wiley & Sons), New York
11.
go back to reference Hedges LV, Olkin I (1985) Statistical methods for meta-analysis. Academic Press, Orlando Hedges LV, Olkin I (1985) Statistical methods for meta-analysis. Academic Press, Orlando
12.
go back to reference Hope TA, Markl M, Wigstrom L, Alley MT, Miller DC, Herfkens RJ (2007) Comparison of flow patterns in ascending aortic aneurysms and volunteers using four-dimensional magnetic resonance velocity mapping. J Magn Reson Imaging 26:1471–1479PubMedCrossRef Hope TA, Markl M, Wigstrom L, Alley MT, Miller DC, Herfkens RJ (2007) Comparison of flow patterns in ascending aortic aneurysms and volunteers using four-dimensional magnetic resonance velocity mapping. J Magn Reson Imaging 26:1471–1479PubMedCrossRef
13.
go back to reference Kilner PJ, Yang GZ, Mohiaddin RH, Firmin DN, Longmore DB (1993) Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation 88:2235–2247PubMed Kilner PJ, Yang GZ, Mohiaddin RH, Firmin DN, Longmore DB (1993) Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation 88:2235–2247PubMed
14.
go back to reference Lorthois S, Stroud-Rossman J, Berger S, Jou LD, Saloner D (2005) Numerical simulation of magnetic resonance angiographies of an anatomically realistic stenotic carotid bifurcation. Ann Biomed Eng 33:270–283PubMedCrossRef Lorthois S, Stroud-Rossman J, Berger S, Jou LD, Saloner D (2005) Numerical simulation of magnetic resonance angiographies of an anatomically realistic stenotic carotid bifurcation. Ann Biomed Eng 33:270–283PubMedCrossRef
15.
go back to reference Lotz J, Meier C, Leppert A, Galanski M (2002) Cardiovascular flow measurement with phase-contrast MR imaging: basic facts and implementation. Radiographics 22:651–671PubMed Lotz J, Meier C, Leppert A, Galanski M (2002) Cardiovascular flow measurement with phase-contrast MR imaging: basic facts and implementation. Radiographics 22:651–671PubMed
16.
go back to reference Markl M, Draney MT, Miller DC, Levin JM, Williamson EE, Pelc NJ, Liang DH, Herfkens RJ (2005) Time-resolved three-dimensional magnetic resonance velocity mapping of aortic flow in healthy volunteers and patients after valve-sparing aortic root replacement. J Thorac Cardiovasc Surg 130:456–463PubMedCrossRef Markl M, Draney MT, Miller DC, Levin JM, Williamson EE, Pelc NJ, Liang DH, Herfkens RJ (2005) Time-resolved three-dimensional magnetic resonance velocity mapping of aortic flow in healthy volunteers and patients after valve-sparing aortic root replacement. J Thorac Cardiovasc Surg 130:456–463PubMedCrossRef
17.
go back to reference Morbiducci U, Lemma M, Ponzini R, Boi A, Bondavalli L, Antona C, Montevecchi FM, Redaelli A (2007) Does flow dynamics of the magnetic vascular coupling for distal anastomosis in coronary artery bypass grafting contribute to the risk of graft failure? Int J Artif Organs 30:628–639PubMed Morbiducci U, Lemma M, Ponzini R, Boi A, Bondavalli L, Antona C, Montevecchi FM, Redaelli A (2007) Does flow dynamics of the magnetic vascular coupling for distal anastomosis in coronary artery bypass grafting contribute to the risk of graft failure? Int J Artif Organs 30:628–639PubMed
18.
go back to reference Morbiducci U, Ponzini R, Grigioni M, Redaelli A (2007) Helical flow as fluid dynamic signature for atherogenesis in aortocoronary bypass. A numeric study. J Biomech 40:519–534PubMedCrossRef Morbiducci U, Ponzini R, Grigioni M, Redaelli A (2007) Helical flow as fluid dynamic signature for atherogenesis in aortocoronary bypass. A numeric study. J Biomech 40:519–534PubMedCrossRef
19.
go back to reference Morbiducci U, Ponzini R, Rizzo G, Cadioli M, Esposito A, De Cobelli F, Del Maschio A, Montevecchi FM, Redaelli A (2009) In vivo quantification of helical blood flow in human aorta by time-resolved three-dimensional cine phase contrast magnetic resonance imaging. Ann Biomed Eng 37:516–531PubMedCrossRef Morbiducci U, Ponzini R, Rizzo G, Cadioli M, Esposito A, De Cobelli F, Del Maschio A, Montevecchi FM, Redaelli A (2009) In vivo quantification of helical blood flow in human aorta by time-resolved three-dimensional cine phase contrast magnetic resonance imaging. Ann Biomed Eng 37:516–531PubMedCrossRef
20.
go back to reference Morbiducci U, Gallo D, Massai D, Consolo F, Ponzini R, Antiga L, Bignardi C, Deriu MA, Redaelli A (2010) Outflow conditions for image-based haemodynamic models of the carotid bifurcation. Implications for indicators of abnormal flow. J Biomech Eng 132:091005PubMedCrossRef Morbiducci U, Gallo D, Massai D, Consolo F, Ponzini R, Antiga L, Bignardi C, Deriu MA, Redaelli A (2010) Outflow conditions for image-based haemodynamic models of the carotid bifurcation. Implications for indicators of abnormal flow. J Biomech Eng 132:091005PubMedCrossRef
21.
go back to reference Morbiducci U, Gallo D, Ponzini R, Massai D, Antiga L, Montevecchi FM, Redaelli A (2010) Quantitative analysis of bulk flow in image-based haemodynamic models of the carotid bifurcation: the influence of outflow conditions as test case. Ann Biomed Eng 38:3688–3705PubMedCrossRef Morbiducci U, Gallo D, Ponzini R, Massai D, Antiga L, Montevecchi FM, Redaelli A (2010) Quantitative analysis of bulk flow in image-based haemodynamic models of the carotid bifurcation: the influence of outflow conditions as test case. Ann Biomed Eng 38:3688–3705PubMedCrossRef
22.
go back to reference Morbiducci U, Ponzini R, Rizzo G, Cadioli M, Esposito A, Montevecchi FM, Redaelli A (2011) Mechanistic insight into the physiological relevance of helical blood flow in the human aorta. An in vivo study. Biomech Model Mechanobiol 10:339–355PubMedCrossRef Morbiducci U, Ponzini R, Rizzo G, Cadioli M, Esposito A, Montevecchi FM, Redaelli A (2011) Mechanistic insight into the physiological relevance of helical blood flow in the human aorta. An in vivo study. Biomech Model Mechanobiol 10:339–355PubMedCrossRef
23.
go back to reference Morbiducci U, Gallo D, Massai D, Ponzini R, Deriu MA, Antiga L, Redaelli A, Montevecchi FM (2011) On the importance of blood rheology for bulk flow in hemodynamic models of the carotid bifurcation. J Biomech 44:2427–2438PubMedCrossRef Morbiducci U, Gallo D, Massai D, Ponzini R, Deriu MA, Antiga L, Redaelli A, Montevecchi FM (2011) On the importance of blood rheology for bulk flow in hemodynamic models of the carotid bifurcation. J Biomech 44:2427–2438PubMedCrossRef
24.
go back to reference Parviz M (2001) Fundamentals of engineering numerical analysis. Cambridge university press, Cambridge Parviz M (2001) Fundamentals of engineering numerical analysis. Cambridge university press, Cambridge
25.
go back to reference Petersson S, Dyverfeldt P, Gardhagen R, Karlsson M, Ebbers T (2010) Simulation of phase contrast MRI of turbulent flow. Magn Reson Med 64:1039–1046PubMedCrossRef Petersson S, Dyverfeldt P, Gardhagen R, Karlsson M, Ebbers T (2010) Simulation of phase contrast MRI of turbulent flow. Magn Reson Med 64:1039–1046PubMedCrossRef
26.
go back to reference Polzin JA, Alley MT, Korosec FR, Grist TM, Wang Y, Mistretta CA (1995) A complex-difference phase-contrast technique for measurement of volume flow rates. J Magn Reson Imaging 5:129–137PubMedCrossRef Polzin JA, Alley MT, Korosec FR, Grist TM, Wang Y, Mistretta CA (1995) A complex-difference phase-contrast technique for measurement of volume flow rates. J Magn Reson Imaging 5:129–137PubMedCrossRef
27.
go back to reference Ponzini R, Lemma M, Morbiducci U, Montevecchi FM, Redaelli A (2008) Doppler derived quantitative flow estimate in coronary artery bypass graft: a computational multiscale model for the evaluation of the current clinical procedure. Med Eng Phys 30:809–816PubMedCrossRef Ponzini R, Lemma M, Morbiducci U, Montevecchi FM, Redaelli A (2008) Doppler derived quantitative flow estimate in coronary artery bypass graft: a computational multiscale model for the evaluation of the current clinical procedure. Med Eng Phys 30:809–816PubMedCrossRef
28.
go back to reference Stalder AF, Russe MF, Frydrychowicz A, Bock J, Hennig J, Markl M (2008) Quantitative 2D and 3D phase contrast MRI: optimized analysis of blood flow and vessel wall parameters. Magn Reson Med 60:1218–1231PubMedCrossRef Stalder AF, Russe MF, Frydrychowicz A, Bock J, Hennig J, Markl M (2008) Quantitative 2D and 3D phase contrast MRI: optimized analysis of blood flow and vessel wall parameters. Magn Reson Med 60:1218–1231PubMedCrossRef
29.
go back to reference Swillens A, De Schryver T, Lavstakken L, Torp H, Segers P (2009) Assessment of numerical simulation strategies for ultrasonic color blood flow imaging, based on a computer and experimental model of the carotid artery. Ann Biomed Eng 37:2188–2199PubMedCrossRef Swillens A, De Schryver T, Lavstakken L, Torp H, Segers P (2009) Assessment of numerical simulation strategies for ultrasonic color blood flow imaging, based on a computer and experimental model of the carotid artery. Ann Biomed Eng 37:2188–2199PubMedCrossRef
30.
go back to reference Taylor CA, Cheng CP, Espinosa LA, Tang BT, Parker D, Herfkens RJ (2002) In vivo quantification of blood flow and wall shear stress in the human abdominal aorta during lower limb exercise. Ann Biomed Eng 30:402–408PubMedCrossRef Taylor CA, Cheng CP, Espinosa LA, Tang BT, Parker D, Herfkens RJ (2002) In vivo quantification of blood flow and wall shear stress in the human abdominal aorta during lower limb exercise. Ann Biomed Eng 30:402–408PubMedCrossRef
31.
go back to reference Thomas JB, Milner JS, Rutt BK, Steinman DA (2003) Reproducibility of image-based computational fluid dynamics models of the human carotid bifurcation. Ann Biomed Eng 31:132–141PubMedCrossRef Thomas JB, Milner JS, Rutt BK, Steinman DA (2003) Reproducibility of image-based computational fluid dynamics models of the human carotid bifurcation. Ann Biomed Eng 31:132–141PubMedCrossRef
32.
go back to reference Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. Part I. Theory. IEEE Trans Signal Process 41:821–833CrossRef Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. Part I. Theory. IEEE Trans Signal Process 41:821–833CrossRef
33.
go back to reference Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. Part II. Efficient design and applications. IEEE Trans Signal Process 41:834–848CrossRef Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. Part II. Efficient design and applications. IEEE Trans Signal Process 41:834–848CrossRef
34.
go back to reference Unser M (1999) Splines: a perfect fit for signal and image processing. IEEE Signal Process Magn 16:22CrossRef Unser M (1999) Splines: a perfect fit for signal and image processing. IEEE Signal Process Magn 16:22CrossRef
35.
go back to reference Womersley JR (1955) Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol 127:553–563PubMed Womersley JR (1955) Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol 127:553–563PubMed
Metadata
Title
Synthetic dataset generation for the analysis and the evaluation of image-based hemodynamics of the human aorta
Authors
Umberto Morbiducci
Raffaele Ponzini
Giovanna Rizzo
Marco Evanghelos Biancolini
Francesco Iannaccone
Diego Gallo
Alberto Redaelli
Publication date
01-02-2012
Publisher
Springer-Verlag
Published in
Medical & Biological Engineering & Computing / Issue 2/2012
Print ISSN: 0140-0118
Electronic ISSN: 1741-0444
DOI
https://doi.org/10.1007/s11517-011-0854-8

Other articles of this Issue 2/2012

Medical & Biological Engineering & Computing 2/2012 Go to the issue

Premium Partner