A novel formulation for blood trauma prediction by a modified power-law mathematical model

Biomechanics and Modeling in Mechanobiology

Volumn 4, Issue 4, 2005, Pages 249-260

  Grigioni, Mauro ^a   Morbiducci, Umberto ^a,b   D'Avenio, Giuseppe ^a   Di Benedetto, Giacomo ^a   Del Gaudio, Costantino ^a  

^a ISTITUTO SUPERIORE DI SANITÀ   (Italy)

^b UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

Blood trauma prediction; Mathematical model; Mechanical haemolysis; Red blood cells damage; Time varying shear stress

Indexed keywords

ARTIFICIAL ORGANS; BIOMECHANICS; BIOMEDICAL EQUIPMENT; CELLS; MATHEMATICAL MODELS; SHEAR STRESS;

BASIC HYPOTHESIS; BLOOD TRAUMA PREDICTION; MECHANICAL HAEMOLYSIS; MECHANOBIOLOGY; PREDICTION MODEL; RED BLOOD CELLS DAMAGE; TIME-VARYING SHEAR STRESS;

BLOOD;

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; CELL CULTURE; COMPUTER SIMULATION; ELASTICITY; ERYTHROCYTE; ERYTHROCYTE MEMBRANE; HEMOLYSIS; HUMAN; MECHANICAL STRESS; MECHANOTRANSDUCTION; PHYSIOLOGY; SHEAR STRENGTH;

ALGORITHMS; ANIMALS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; CELLS, CULTURED; COMPUTER SIMULATION; ELASTICITY; ERYTHROCYTE MEMBRANE; ERYTHROCYTES; HEMOLYSIS; HUMANS; MECHANOTRANSDUCTION, CELLULAR; MODELS, CARDIOVASCULAR; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 28344456033     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-005-0005-y     Document Type: Article

References (42)

1. Apel J, Paul R, Klaus S, Siess T, Reul H (2001) Assessment of haemolysis related quantities in a microaxial blood pump by computational fluid dynamics. Artif Organs 5:341-347
2. Baldwin JT, Deutsch S, Geselowitz DB, Tarbell JM (1994) LDA Measurements of Mean Velocity and Reynolds Stress Fields within an Artificial Heart Ventricle. TRANS ASME- J Biomechanical Engineering 116:190-200
3. Barbaro V, Grigioni M, Daniele C, D'Avenio G (1998) Principal stress analysis in LDA measurement of the flow field downstream of 19-mm Sorin Bicarbon heart valve. Technol Health Care 6(4):259-270
4. Blackshear PL (1972a) Mechanical haemolysis in flowing blood. In: Fung YC (ed) Biomechanics. Its foundation and objectives Englewood Cliffs. Prentice Hall Inc., NJ
5. Blackshear PL (1972b) Haemolysis at prosthetic surfaces. In: Hair MR (ed) Chemistry of biosurfaces. Marcel Dekker, New York
6. Blackshear PL, Blackshear GL (1987) Mechanical haemolysis. In: Skalak R, Chien S (eds) Handbook of bioengineering. McGraw-Hill, New York
7. Blackshear PL, Dorman FD, Steinbach JH (1965) Some mechanical effects that influence haemolysis. Trans Am Soc Artif Intern Organs 11:112
8. Bludszuweit C (1995) Three-dimensional numerical prediction of stress loading of blood particles in a centrifugal pump. Artif Organs 19(7):590-596
9. Bludszuweit C (1995) Model for a general mechanical blood damage prediction. Artif Organs 19(7):583-589
10. Bodnar E (1996) Editorial: the Medtronic Parallel™ valve and the lessons learned. J Heart Valve Dis 5:572-573
11. Burgreen GW, Antaki JF, Wu ZJ, Holmes AJ (2001) Computational fluid dynamics as a development tool for rotary blood pumps. Artif Organs 25(5):336-340
12. Chan WK, Wong YW, Ding Y, Chua LP, Yu SC (2002) Numerical investigation of the effect of blade geometry on blood trauma in a centrifugal blood pump. Artif Organs 26(9):785-793
13. De Wachter D, Verdonck P (2002) Numerical calculation of haemolysis levels in peripheral hemodialysis cannulas. Artif Organs 26(7): 576-582
14. Ellis JT, Wick TM, Yoganathan AP (1998) Prosthesis-induced haemolysis: mechanisms and quantification of shear stress. J Heart Valve Dis 7:376-386
15. Giersiepen M, Wurzinger LJ, Opitz R, Reul H (1990) 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
16. Goubergrits L, Affeid K (2004) Numerical estimation of blood damage in artificial organs. Artif Organs 28(5):499-507
17. Grigioni M, Daniele C, D'Avenio G, Barbaro V (1999) A discussion on the threshold limit for haemolysis related to Reynolds shear stress. J Biomech 32(10): 1107-1112
18. Grigioni M, Daniele C, Morbiducci U, Di Benedetto G, D'Avenio G, Barbaro V (2002) Mechanical blood trauma potential in vascular access devices: a comparison of case studies. Int J Artif Organs 25(9): 882-891
19. Grigioni M, Daniele C, Morbiducci U, D'Avenio G, Di Benedetto G, Barbaro V (2004) The power-law mathematical model for blood damage prediction: analytical developments and physical inconsistencies. Artif Organs 28(5):467-475
20. Hansen JC, Skalak R, Chien S, Hoger A (1996) An elastic network model based on the structure of the red blood cell membrane skeleton. Biophys J 70(1): 146-166
21. Kameneva MV, Marad PF, Brugger JM, Repko BM, Wang JH, Moran J, Borovetz HS (2002) In vitro evaluation of haemolysis and sublethal blood trauma in a novel subcutaneous vascular access system for hemodialysis. ASAIO Journal 48(1):34-38
22. Kameneva MV, Burgreen GW, Kono K, Repko B, Antaki JF, Umezu M (2004) Effects of turbulent stresses on mechanical hemolysis: experimental and computational analysis. ASAIO J 50: 418-423
23. Klaus S, Korfer S, Mottaghy K, Reul H, Glasmacher B (2002) In vitro blood damage by high shear flow: human versus porcine blood. Int J Artif Organs 25(4):306-312
24. Klaus S, Korfer S, Mottaghy K, Reul H, Glasmacher B (2003) Blood traumatization by time varying high shear stresses: investigations with a new model system. Int J Artif Organs 26(7):635
25. Kuypers FA (1998) Red cell membrane damage. J Heart Valve Dis 7(4):387-395
26. Leverett LB, Hellums JD, Alfrey CP, Lynch BC (1972) Red blood cell damage by shear stress. Biophysical Journal 12:257-273
27. Lim WL, Chew YT, Chew TC, Low HT (2001) Pulsatile flow studies of a porcine bioprosthetic aortic valve in vitro: PIV measurements and shear-induced blood damage. J Biomech 34:1417-1427
28. Lu PC, Lai HC, Liu JS (2001) A reevaluation and discussion on the threshold limit for haemolysis in a turbulent shear flow. J Biomech 34(10): 1361-1364
29. Maraj R, Jacobs LE, Ioli A, Kotler MN (1998) Evaluation of haemolysis in patients with prosthetic heart valves. Clin Cardiol 21:387-92
30. Mohandas N, Clark MR, Jacobs MS, Shohet SB (1980) Analysis of factors regulating erythrocyte deformability. J Clin Invest 66(3): 563-573
31. Mohandas N, Chasis JA, Shohet SB (1983) The influence of membrane skeleton on red cell deformability, membrane material properties, and shape. Semin Hematol 20(3):225-242
32. Paul R, Apel J, Klaus S, Schugner F, Schwindke P, Reul H (2003) Shear stress related blood damage in laminar couette flow. Artif Organs 27(6):517-529
33. Richardson E (1975) Applications of a theoretical model for haemolysis in shear flow. Biorheology 12:27-37
34. Sallam AM, Hwang NHC (1984) Human red blood cell haemolysis in a turbulent shear flow: contribution of Reynolds shear stresses. Biorheology 21:783-797
35. Schima H, Wieselthaler G (1995) Mechanically induced blood trauma: are the relevant questions already solved, or is it still an important field to be investigated? Artif Organs 19(7):563-564
36. Schima H, Muller MR, Tsangaris S, Gheiseder G, Schlusche C, Losert U, Thoma H, Wolner E (1993) Mechanical blood traumatization by tubing and throttles in in vitro pump tests: experimental results and implications for haemolysis theory. Artif Organs 17(3): 164-170
37. Song X, Throckmorton AL, Wood HG, Antaki JF, Olsen DB (2003) Computational fluid dynamics prediction of blood damage in a centrifugal pump. Artif Organs 27(10):938-941
38. Steegers A, Paul R, Reul H, Rau G (1999) Leakage flow at mechanical heart valve prostheses: improved washout or increased blood damage?. J Heart Valve Dis 8(3):312-323
39. Yano T, Sekine K, Mitoh A, Mitamura Y, Okamoto E, Kim DW, Nishimura I, Murabayashi S, Yozu R (2003) An estimation method of haemolysis within an axial flow blood pump by computational fluid dynamics analysis. Artif Organs 27(10):920-925
40. Yeleswarapu KK, Antaki JF, Kameneva MV, Rajagopal KR (1995) A mathematical model for shear-induced haemolysis. Artif Organs 19 (7):576-582
41. Yobobori T (1968) An interdisciplinary approach to fracture and strenght of solids. Wolters-Noordhoff Scientific Publications Ltd, Groningen
42. Zimmer R, Steegers A, Paul R, Affeld K, Reul H (2000) Velocities, shear stresses and blood damage potential of the leakage jets of the Medtronic Parallel bileaflet valve. Int J Artif Organs 23:41-48