Skip to main content

2013 | OriginalPaper | Buchkapitel

Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms

verfasst von : Susana Ramalho, Alexandra B. Moura, Alberto M. Gambaruto, Adélia Sequeira

Erschienen in: Mathematical Methods and Models in Biomedicine

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Disease in human physiology is often related to cardiovascular mechanics. Impressively, strokes are one of the leading causes of death in developed countries, and they might occur as a result of an aneurysm rupture, which is a sudden event in the majority of cases. On the basis of several autopsy and angiography series, it is estimated that 0.4–6 % of the general population harbors one or more intracranial aneurysms, and on average the incidence of an aneurysmal rupture is of 10 per 100,000 population per year, with tendency to increase in patients with multiple aneurysms [14, 20].

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
1.
Zurück zum Zitat Anand, M., Rajagopal, K.R.: A shear-thinning viscoelastic fluid model for describing the flow of blood. Int. J. Cardiovasc. Med. Sci. 4(2), 59–68 (2004) Anand, M., Rajagopal, K.R.: A shear-thinning viscoelastic fluid model for describing the flow of blood. Int. J. Cardiovasc. Med. Sci. 4(2), 59–68 (2004)
2.
Zurück zum Zitat Antiga, L., Piccinelli, M., Botti, L., Ene-Iordache, B., Remuzzi, A., Steinman, D.A.: An image-based modeling framework for patient-specific computational hemodynamics. Med. Biol. Eng. Comput. 46(11), 1097–1112 (2008)CrossRef Antiga, L., Piccinelli, M., Botti, L., Ene-Iordache, B., Remuzzi, A., Steinman, D.A.: An image-based modeling framework for patient-specific computational hemodynamics. Med. Biol. Eng. Comput. 46(11), 1097–1112 (2008)CrossRef
3.
Zurück zum Zitat Balossino, R., Pennati, G., Migliavacca, F., Formaggia, L., Veneziani, A., Tuveri, M., Dubini, G.: Influence of boundary conditions on fluid dynamics in models of the cardiovascular system: A multiscale approach applied to the carotid bifurcation. Comput. Meth. Biomech. Biomed. Eng. 12(1) (2009) Balossino, R., Pennati, G., Migliavacca, F., Formaggia, L., Veneziani, A., Tuveri, M., Dubini, G.: Influence of boundary conditions on fluid dynamics in models of the cardiovascular system: A multiscale approach applied to the carotid bifurcation. Comput. Meth. Biomech. Biomed. Eng. 12(1) (2009)
4.
Zurück zum Zitat Cebral, J.R., Castro, M.A., Appanaboyina, S., Putman, C.M., Millan, D., Frangi, A.F.: Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity. IEEE Trans.Med. Imag. 24(4), 457–467 (2005)CrossRef Cebral, J.R., Castro, M.A., Appanaboyina, S., Putman, C.M., Millan, D., Frangi, A.F.: Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity. IEEE Trans.Med. Imag. 24(4), 457–467 (2005)CrossRef
5.
Zurück zum Zitat Cebral, J.R., Castro, M.A., Putman, C.M., Alperin, N.: Flow–area relationship in internal carotid and vertebral arteries. Physiol. Meas. 29, 585 (2008)CrossRef Cebral, J.R., Castro, M.A., Putman, C.M., Alperin, N.: Flow–area relationship in internal carotid and vertebral arteries. Physiol. Meas. 29, 585 (2008)CrossRef
6.
Zurück zum Zitat Formaggia, L., Veneziani, A.: Reduced and multiscale models for the human cardiovascular system. Lecture Notes VKI Lecture Series 7 (2003) Formaggia, L., Veneziani, A.: Reduced and multiscale models for the human cardiovascular system. Lecture Notes VKI Lecture Series 7 (2003)
7.
Zurück zum Zitat Formaggia, L., Moura, A., Nobile, F.: On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Math. Model. Numer. Anal. 41(4), 743–769 (2007)MathSciNetMATHCrossRef Formaggia, L., Moura, A., Nobile, F.: On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Math. Model. Numer. Anal. 41(4), 743–769 (2007)MathSciNetMATHCrossRef
8.
Zurück zum Zitat Gambaruto, A.M., Peiró, J., Doorly, D.J., Radaelli, A.G.: Reconstruction of shape and its effect on flow in arterial conduits. Int. J. Numer. Meth. Fluid. 57(5), 495–517 (2008)MATHCrossRef Gambaruto, A.M., Peiró, J., Doorly, D.J., Radaelli, A.G.: Reconstruction of shape and its effect on flow in arterial conduits. Int. J. Numer. Meth. Fluid. 57(5), 495–517 (2008)MATHCrossRef
9.
Zurück zum Zitat Gambaruto, A.M., Janela, J., Moura, A., Sequeira, A.: Sensitivity of hemodynamics in patient specific cerebral aneurysms to vascular geometry and blood rheology. Math. Biosci. Eng. 8(2), 409–423 (2011)MathSciNetCrossRef Gambaruto, A.M., Janela, J., Moura, A., Sequeira, A.: Sensitivity of hemodynamics in patient specific cerebral aneurysms to vascular geometry and blood rheology. Math. Biosci. Eng. 8(2), 409–423 (2011)MathSciNetCrossRef
10.
Zurück zum Zitat Goljan, E.F.: Rapid Review Pathology. Mosby/Elsevier, Philadelphia (2010) Goljan, E.F.: Rapid Review Pathology. Mosby/Elsevier, Philadelphia (2010)
11.
Zurück zum Zitat Hassan, T., Timofeev, E.V., Saito, T., Shimizu, H., Ezura, M., Matsumoto, Y., Takayama, K., Tominaga, T., Takahashi, A.: A proposed parent vessel geometry based categorization of saccular intracranial aneurysms: Computational flow dynamics analysis of the risk factors for lesion rupture. J. Neurosurg. Pediatr. 103(4) (2005) Hassan, T., Timofeev, E.V., Saito, T., Shimizu, H., Ezura, M., Matsumoto, Y., Takayama, K., Tominaga, T., Takahashi, A.: A proposed parent vessel geometry based categorization of saccular intracranial aneurysms: Computational flow dynamics analysis of the risk factors for lesion rupture. J. Neurosurg. Pediatr. 103(4) (2005)
12.
Zurück zum Zitat Heywood, J.G., Rannacher, R., Turek, S.: Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluid. 22(5), 325–352 (1996)MathSciNetMATHCrossRef Heywood, J.G., Rannacher, R., Turek, S.: Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluid. 22(5), 325–352 (1996)MathSciNetMATHCrossRef
13.
Zurück zum Zitat Janela, J., Moura, A., Sequeira, A.: Absorbing boundary conditions for a 3D non-Newtonian fluid–structure interaction model for blood flow in arteries. Int. J. Eng. Sci. 48(11), 1332–1349 (2010)MathSciNetMATHCrossRef Janela, J., Moura, A., Sequeira, A.: Absorbing boundary conditions for a 3D non-Newtonian fluid–structure interaction model for blood flow in arteries. Int. J. Eng. Sci. 48(11), 1332–1349 (2010)MathSciNetMATHCrossRef
14.
Zurück zum Zitat Krex, D., Schackert, H.K., Schackert, G.: Genesis of cerebral aneurysms–an update. Acta Neurochir. 143(5), 429–449 (2001)CrossRef Krex, D., Schackert, H.K., Schackert, G.: Genesis of cerebral aneurysms–an update. Acta Neurochir. 143(5), 429–449 (2001)CrossRef
16.
Zurück zum Zitat Moura, A.: The geometrical multiscale modelling of the cardiovascular system: Coupling 3D and 1D FSI models. PhD thesis, Politecnico di Milano (2007) Moura, A.: The geometrical multiscale modelling of the cardiovascular system: Coupling 3D and 1D FSI models. PhD thesis, Politecnico di Milano (2007)
17.
Zurück zum Zitat Nunes, D., Ramalho, S.: 1D hyperbolic models for blood flow in arteries. Internal Report, CEMAT (2009) Nunes, D., Ramalho, S.: 1D hyperbolic models for blood flow in arteries. Internal Report, CEMAT (2009)
18.
Zurück zum Zitat Quarteroni, A.M., Valli, A.: Numerical Approximation of Partial Differential Equations. Springer, Berlin (2008)MATH Quarteroni, A.M., Valli, A.: Numerical Approximation of Partial Differential Equations. Springer, Berlin (2008)MATH
19.
Zurück zum Zitat Ramalho, S., Moura, A., Gambaruto, A.M., Sequeira, A.: Sensitivity to outflow boundary conditions and level of geometry description for a cerebral aneurysm. Int. J. Numer. Meth. Biomed. Eng. 28(6-7), 697–713 (2012)CrossRef Ramalho, S., Moura, A., Gambaruto, A.M., Sequeira, A.: Sensitivity to outflow boundary conditions and level of geometry description for a cerebral aneurysm. Int. J. Numer. Meth. Biomed. Eng. 28(6-7), 697–713 (2012)CrossRef
20.
Zurück zum Zitat Rinkel, G.J.E., Djibuti, M., Algra, A., Van Gijn, J.: Prevalence and risk of rupture of intracranial aneurysms: A systematic review. Stroke 29(1), 251 (1998)CrossRef Rinkel, G.J.E., Djibuti, M., Algra, A., Van Gijn, J.: Prevalence and risk of rupture of intracranial aneurysms: A systematic review. Stroke 29(1), 251 (1998)CrossRef
21.
Zurück zum Zitat Robertson, A.M.: Review of Relevant Continuum Mechanics. In: Galdi, G.P., Rannacher, R., Robertson, A.M., Turek, S. (eds.) Hemodynamical Flows: Modeling, Analysis and Simulation, pp. 1–62. Birkhäuser, Boston (2008) Robertson, A.M.: Review of Relevant Continuum Mechanics. In: Galdi, G.P., Rannacher, R., Robertson, A.M., Turek, S. (eds.) Hemodynamical Flows: Modeling, Analysis and Simulation, pp. 1–62. Birkhäuser, Boston (2008)
22.
Zurück zum Zitat Robertson, A.M., Sequeira, A., Kameneva, M.V.: Hemorheology. In Galdi, G.P., Rannacher, R., Robertson, A.M., Turek, S., editors, Hemodynamical Flows: Modeling, Analysis and Simulation, pages 63–120. Birkhäuser, Boston (2008) Robertson, A.M., Sequeira, A., Kameneva, M.V.: Hemorheology. In Galdi, G.P., Rannacher, R., Robertson, A.M., Turek, S., editors, Hemodynamical Flows: Modeling, Analysis and Simulation, pages 63–120. Birkhäuser, Boston (2008)
23.
Zurück zum Zitat Sazonov, I., Yeo, S.Y., Bevan, R.L.T., Xie, X., van Loon, R., Nithiarasu, P.: Modelling pipeline for subject-specific arterial blood flow - a review. Int. J. Numer. Meth. Biomed. Eng. (2011) DOI: 10.1002/cnm.1446. Sazonov, I., Yeo, S.Y., Bevan, R.L.T., Xie, X., van Loon, R., Nithiarasu, P.: Modelling pipeline for subject-specific arterial blood flow - a review. Int. J. Numer. Meth. Biomed. Eng. (2011) DOI: 10.1002/cnm.1446.
24.
Zurück zum Zitat Sequeira, A., Janela, J.: An overview of some mathematical models of blood rheology. In: Pereira, M.S. (ed.) A Portrait of Research at the Technical University of Lisbon, pp. 65–87. Springer, Berlin (2007)CrossRef Sequeira, A., Janela, J.: An overview of some mathematical models of blood rheology. In: Pereira, M.S. (ed.) A Portrait of Research at the Technical University of Lisbon, pp. 65–87. Springer, Berlin (2007)CrossRef
25.
Zurück zum Zitat Sequeira, A., Moura, A., Janela, J.: Towards a geometrical multiscale approach to non-Newtonian blood flow simulations. In: Sequeira, A., Rannacher, R. (eds.) Advances in Mathematical Fluid Mechanics - dedicated to G.P. Galdi on his 60th birthday, chapter 295–309. Springer, Berlin (2009) Sequeira, A., Moura, A., Janela, J.: Towards a geometrical multiscale approach to non-Newtonian blood flow simulations. In: Sequeira, A., Rannacher, R. (eds.) Advances in Mathematical Fluid Mechanics - dedicated to G.P. Galdi on his 60th birthday, chapter 295–309. Springer, Berlin (2009)
26.
Zurück zum Zitat Sezgin, M., Sankur, B.: Survey over image thresholding techniques and quantitative performance evaluation. J. Electron. Imag. 13(1), 146–165 (2004)CrossRef Sezgin, M., Sankur, B.: Survey over image thresholding techniques and quantitative performance evaluation. J. Electron. Imag. 13(1), 146–165 (2004)CrossRef
27.
Zurück zum Zitat Tu, C., Deville, M.: Pulsatile flow of non-Newtonian fluids through arterial stenosis. J. Biomech. 29(7), 899–908 (1996)CrossRef Tu, C., Deville, M.: Pulsatile flow of non-Newtonian fluids through arterial stenosis. J. Biomech. 29(7), 899–908 (1996)CrossRef
28.
Zurück zum Zitat Wulandana, R., Robertson, A.M.: An inelastic multi-mechanism constitutive equation for cerebral arterial tissue. Biomech. Model. Mechanobiol. 4(4), 235–248 (2005)CrossRef Wulandana, R., Robertson, A.M.: An inelastic multi-mechanism constitutive equation for cerebral arterial tissue. Biomech. Model. Mechanobiol. 4(4), 235–248 (2005)CrossRef
Metadaten
Titel
Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms
verfasst von
Susana Ramalho
Alexandra B. Moura
Alberto M. Gambaruto
Adélia Sequeira
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-4178-6_6