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2017 | OriginalPaper | Chapter

On the Significance of Exposure Time in Computational Blood Damage Estimation

Authors : Lutz Pauli, Marek Behr

Published in: High-Performance Scientific Computing

Publisher: Springer International Publishing

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Abstract

The reliability of common stress-based power law models for hemolysis estimations in blood pumps is still not satisfying. Stress-based models are based on an instantaneous shear stress measure. Therefore, such models implicitly assume that red blood cells deform immediately due to the action of forces. In contrast, a strain-based model considers the entire deformation history of the cells. By applying a viscoelastic tensor equation for the stress computation, the effect of exposure time is represented as a biophysical phenomenon. Comparisons of stress-based and strain-based hemolysis models in a centrifugal blood pump show very significant differences. Stress peaks with short exposure time contribute to the overall hemolysis in the stress-based model, whereas regions with increased shear and long exposure time are responsible for damage in the strain-based model.

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Literature
1.
go back to reference Arora, D., Behr, M., Coronado-Matutti, O., Pasquali, M.: Estimation of hemolysis in centrifugal blood pumps using morphology tensor approach. In: Bathe, K. (ed.) Proceedings of 3rd MIT Conference on Computational Fluid and Solid Dynamics, pp. 578–582. Elsevier Ltd. (2005) Arora, D., Behr, M., Coronado-Matutti, O., Pasquali, M.: Estimation of hemolysis in centrifugal blood pumps using morphology tensor approach. In: Bathe, K. (ed.) Proceedings of 3rd MIT Conference on Computational Fluid and Solid Dynamics, pp. 578–582. Elsevier Ltd. (2005)
2.
go back to reference Arora, D., Behr, M., Pasquali, M.: A tensor-based measure for estimating blood damage. Artif. Organs 28, 1002–1015 (2004). errata in Artificial Organs 36(5), 500 (2012)CrossRef Arora, D., Behr, M., Pasquali, M.: A tensor-based measure for estimating blood damage. Artif. Organs 28, 1002–1015 (2004). errata in Artificial Organs 36(5), 500 (2012)CrossRef
3.
go back to reference Arora, D., Behr, M., Pasquali, M.: Hemolysis estimation in a centrifugal blood pump using a tensor-based measure. Artif. Organs 30(7), 539–547 (2006)CrossRef Arora, D., Behr, M., Pasquali, M.: Hemolysis estimation in a centrifugal blood pump using a tensor-based measure. Artif. Organs 30(7), 539–547 (2006)CrossRef
4.
go back to reference Blackshear, P., Blackshear, G.: Mechanical hemolysis. In: Skalak, R., Chien, S. (eds.) Handbook of Bioengineering, p. 15.1–15.19. McGraw-Hill, New York (1987) Blackshear, P., Blackshear, G.: Mechanical hemolysis. In: Skalak, R., Chien, S. (eds.) Handbook of Bioengineering, p. 15.1–15.19. McGraw-Hill, New York (1987)
5.
go back to reference Blackshear, P., Dorman, F., Steinbach, J.: Some mechanical effects that influence hemolysis. ASAIO J. 11(1), 112–117 (1965)CrossRef Blackshear, P., Dorman, F., Steinbach, J.: Some mechanical effects that influence hemolysis. ASAIO J. 11(1), 112–117 (1965)CrossRef
6.
go back to reference Bludszuweit, C.: Three-dimensional numerical prediction of stress loading of blood particles in a centrifugal pump. Artif. Organs 19(7), 590–596 (1995)CrossRef Bludszuweit, C.: Three-dimensional numerical prediction of stress loading of blood particles in a centrifugal pump. Artif. Organs 19(7), 590–596 (1995)CrossRef
7.
go back to reference Bronkhorst, P., Streekstra, G., Grimbergen, J., Nijhof, E., Sixma, J., Brakenhoff, G.: A new method to study shape recovery of red blood cells using multiple optical trapping. Biophys. J. 69(5), 1666–1673 (1995)CrossRef Bronkhorst, P., Streekstra, G., Grimbergen, J., Nijhof, E., Sixma, J., Brakenhoff, G.: A new method to study shape recovery of red blood cells using multiple optical trapping. Biophys. J. 69(5), 1666–1673 (1995)CrossRef
8.
go back to reference Chien, S.: Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168(3934), 977–979 (1970)CrossRef Chien, S.: Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168(3934), 977–979 (1970)CrossRef
9.
go back to reference Chien, S.: Red cell deformability and its relevance to blood flow. Annu. Rev. Physiol. 49, 177–192 (1987)CrossRef Chien, S.: Red cell deformability and its relevance to blood flow. Annu. Rev. Physiol. 49, 177–192 (1987)CrossRef
10.
go back to reference Evans, E., LaCelle, P.: Intrinsic material properties of the erythrocyte membrane indicated by mechanical analysis of deformation. Blood 45, 29–43 (1975) Evans, E., LaCelle, P.: Intrinsic material properties of the erythrocyte membrane indicated by mechanical analysis of deformation. Blood 45, 29–43 (1975)
11.
go back to reference Farinas, M., Garon, A.: Fast three-dimensional numerical hemolysis approximation. Artif. Organs 28(11), 1016–1025 (2004)CrossRef Farinas, M., Garon, A.: Fast three-dimensional numerical hemolysis approximation. Artif. Organs 28(11), 1016–1025 (2004)CrossRef
12.
go back to reference Farinas, M., Garon, A., Lacasse, D., N’dri, D.: Asymptotically consistent numerical approximation of hemolysis. J. Biomed. Eng. 128, 688–696 (2006) Farinas, M., Garon, A., Lacasse, D., N’dri, D.: Asymptotically consistent numerical approximation of hemolysis. J. Biomed. Eng. 128, 688–696 (2006)
13.
go back to reference Fischer, T.M.: Shape memory of human red blood cells. Biophys. J. 86, 3304–3313 (2004)CrossRef Fischer, T.M.: Shape memory of human red blood cells. Biophys. J. 86, 3304–3313 (2004)CrossRef
14.
go back to reference Fischer, T., Stohr-Lissen, M., Schmid-Schönbein, H.: The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. Science 202(4370), 894–896 (1978)CrossRef Fischer, T., Stohr-Lissen, M., Schmid-Schönbein, H.: The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. Science 202(4370), 894–896 (1978)CrossRef
15.
go back to reference Gesenhues, L., Pauli, L., Behr, M.: Strain-based blood damage estimation for computational design of ventricular assist devices. Int. J. Artif. Organs 39(4), 166–170 (2016)CrossRef Gesenhues, L., Pauli, L., Behr, M.: Strain-based blood damage estimation for computational design of ventricular assist devices. Int. J. Artif. Organs 39(4), 166–170 (2016)CrossRef
16.
go back to reference Giersiepen, M., Wurzinger, L., Opitz, R., Reul, H.: Estimation of shear stress-related blood damage in heart valve prostheses - in vitro comparison of 25 aortic valves. Int. J. Artif. Organs 13(5), 300–306 (1990) Giersiepen, M., Wurzinger, L., Opitz, R., Reul, H.: Estimation of shear stress-related blood damage in heart valve prostheses - in vitro comparison of 25 aortic valves. Int. J. Artif. Organs 13(5), 300–306 (1990)
17.
go back to reference Hénon, S., Lenormand, G., Richert, A., Gallet, F.: A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. Biophys. J. 76(2), 1145–1151 (1999)CrossRef Hénon, S., Lenormand, G., Richert, A., Gallet, F.: A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. Biophys. J. 76(2), 1145–1151 (1999)CrossRef
18.
go back to reference Keller, S., Skalak, R.: Motion of a tank-treading ellipsoidal particle in a shear flow. J. Fluid Mech. 120, 27–47 (1982)CrossRefMATH Keller, S., Skalak, R.: Motion of a tank-treading ellipsoidal particle in a shear flow. J. Fluid Mech. 120, 27–47 (1982)CrossRefMATH
19.
go back to reference Leverett, L., Hellums, J., Alfrey, C., Lynch, E.: Red blood cell damage by shear stress. Biophys. J. 12, 257–273 (1972)CrossRef Leverett, L., Hellums, J., Alfrey, C., Lynch, E.: Red blood cell damage by shear stress. Biophys. J. 12, 257–273 (1972)CrossRef
20.
go back to reference Maffettone, P., Minale, M.: Equation of change for ellipsoidal drops in viscous flow. J. Non-Newton. Fluid Mech. 78, 227–241 (1998)CrossRefMATH Maffettone, P., Minale, M.: Equation of change for ellipsoidal drops in viscous flow. J. Non-Newton. Fluid Mech. 78, 227–241 (1998)CrossRefMATH
21.
go back to reference Nicoud, F., Toda, H., Cabrit, O., Bose, S., Lee, J.: Using singular values to build a subgrid-scale model for large eddy simulations. Phys. Fluids (1994-present) 23(085106), 1–12 (2011) Nicoud, F., Toda, H., Cabrit, O., Bose, S., Lee, J.: Using singular values to build a subgrid-scale model for large eddy simulations. Phys. Fluids (1994-present) 23(085106), 1–12 (2011)
22.
go back to reference Pauli, L., Both, J., Behr, M.: Stabilized finite element method for flows with multiple reference frames. Int. J. Numer. Meth. Fluids 78, 657–669 (2015)MathSciNetCrossRef Pauli, L., Both, J., Behr, M.: Stabilized finite element method for flows with multiple reference frames. Int. J. Numer. Meth. Fluids 78, 657–669 (2015)MathSciNetCrossRef
23.
go back to reference Pauli, L., Nam, J., Pasquali, M., Behr, M.: Transient stress-based and strain-based hemolysis estimation in a simplified blood pump. Int. J. Numer. Meth. Biomed. Eng. 29(10), 1148–1160 (2013)MathSciNetCrossRef Pauli, L., Nam, J., Pasquali, M., Behr, M.: Transient stress-based and strain-based hemolysis estimation in a simplified blood pump. Int. J. Numer. Meth. Biomed. Eng. 29(10), 1148–1160 (2013)MathSciNetCrossRef
24.
go back to reference Probst, M.: Robust Shape Optimization for Incompressible Flow of Shear-Thinning Fluids. Ph.D. thesis, RWTH Aachen University, Aachen, Germany (2013) Probst, M.: Robust Shape Optimization for Incompressible Flow of Shear-Thinning Fluids. Ph.D. thesis, RWTH Aachen University, Aachen, Germany (2013)
25.
go back to reference Rand, R.: Mechanical properties of the red cell membrane: II. viscoelastic breakdown of the membrane. Biophys. J. 4(4), 303–316 (1964)CrossRef Rand, R.: Mechanical properties of the red cell membrane: II. viscoelastic breakdown of the membrane. Biophys. J. 4(4), 303–316 (1964)CrossRef
26.
go back to reference Riveros-Moreno, V., Wittenberg, J.: The self-diffusion coefficients of myoglobin and hemoglobin in concentrated solutions. J. Biol. Chem. 247(3), 895–901 (1972) Riveros-Moreno, V., Wittenberg, J.: The self-diffusion coefficients of myoglobin and hemoglobin in concentrated solutions. J. Biol. Chem. 247(3), 895–901 (1972)
27.
go back to reference Schmid-Schönbein, H., Wells, R.: Fluid drop-like transition of erythrocytes under shear. Science 165(3890), 288–291 (1969)CrossRef Schmid-Schönbein, H., Wells, R.: Fluid drop-like transition of erythrocytes under shear. Science 165(3890), 288–291 (1969)CrossRef
29.
go back to reference Wurzinger, L., Opitz, R., Eckstein, H.: Mechanical blood trauma: an overview. Angeiologie 38, 81–97 (1986) Wurzinger, L., Opitz, R., Eckstein, H.: Mechanical blood trauma: an overview. Angeiologie 38, 81–97 (1986)
30.
go back to reference Zhang, T., Taskin, M., Fang, H., Pampori, A., Jarvik, R., Griffith, B., Wu, Z.: Study of flow-induced hemolysis using novel couette-type blood-shearing devices. Artif. Organs 35(12), 1180–1186 (2011)CrossRef Zhang, T., Taskin, M., Fang, H., Pampori, A., Jarvik, R., Griffith, B., Wu, Z.: Study of flow-induced hemolysis using novel couette-type blood-shearing devices. Artif. Organs 35(12), 1180–1186 (2011)CrossRef
Metadata
Title
On the Significance of Exposure Time in Computational Blood Damage Estimation
Authors
Lutz Pauli
Marek Behr
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-53862-4_3

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