Top

Rheologica Acta

Published in:

22-09-2018 | Original Contribution

Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions

Authors: Matthew Armstrong, Jeffrey Horner, Michael Clark, Michael Deegan, Timothy Hill, Charles Keith, Lynne Mooradian

Published in: Rheologica Acta | Issue 11/2018

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

search-config

AI-assisted search

Off

Abstract

The rheological characterization of human blood, through modeling and analysis of steady state, transient, and oscillatory shear flows, has made tremendous progress recently. Due to the aggregation of red blood cells at low shear rates, many recent models for blood rheology include a structural, thixotropic component with one of the most recent attempts unifying this approach with a viscoelastic formulation. We will show how these models, along with proposed modifications to another recent structural, kinetic thixotropy model, can improve modeling predictions. Results are compared to the Maxwell-like Bautista-Manero-Puig model, the Oldroyd-8 inspired viscoelastic Anand-Kwack-Masud model, a viscoelastic-thixotropic model from Blackwell and Ewoldt, and the Herschel-Bulkley model. We explore the weaknesses of the legacy blood models and then demonstrate the efficacy of the newly improved models for modeling human blood steady state and transient shear rheology to predict oscillatory shear flow.

previous article Rheological studies and optimization of Herschel–Bulkley parameters of an environmentally friendly drilling fluid using genetic algorithm

next article Droplet retraction in the presence of nanoparticles with different surface modifications

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

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!

inform 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!

inform now

Akaike H (1974) A new look at the statistical model identification. IEEE Transactions on Automatic Control Vol AC-19(6)CrossRef

Anand M, Kwack J, Masud A (2013) A new generalized Oldroyd-B model for the blood flow in complex geometries. Int J Eng Sci 72:78–88CrossRef

Apostolidis AJ, Beris AN (2014) Modeling the blood rheology in steady-shear flows. J Rheol (1978-Present) 58(3):607–633CrossRef

Apostolidis AJ, Beris AN (2015) The effect of cholesterol and triglycerides on the steady state rheology of blood. Rheol Acta 1:1–13

Apostolidis AJ, Armstrong MJ, Beris AN (2015) Modeling of human blood rheology in transient shear flows. J Rheol 59:275–298CrossRef

Apostolidis AJ, Moyer AP, Beris AN (2016) Non-Newtonian effects in simulations of coronary arterial blood flow. J Non-Newtonian Fluid Mech 233:155–165CrossRef

Armstrong MJ (2015) Investigating and modeling the thixotropic behavior, microstructure and rheology of complex material. Ph.D. Thesis, University of Delaware

Armstrong MJ, Beris AN, Rogers SA, Wagner NJ (2016a) Dynamic shear rheology of a thixotropic suspension: comparison of an improved structure-based model with large amplitude oscillatory shear experiments. J Rheol 60:433–450CrossRef

Armstrong MJ, Beris AN, Wagner NJ (2016b) An adaptive parallel tempering method for the dynamic data-driven parameter estimation of nonlinear models. AICHE J 63:1937–1958. https://doi.org/10.1002/aic.15577 CrossRef

Baron AD, Clark MG (1997) Role of blood flow in the regulation of muscle glucose uptake. Annu Rev Nutr 17:487–499CrossRef

Baskurt KO, Boynard M, Cokelet GC, Connes P, Cooke BM, Forconi S, Liao F, Hardeman MR, Jung F, Meiselman HJ, Nash G, Nemeth N, Neu B, Sandhagen B, Shin S, Thurston G, Wautier JL (2009) New guidelines for hemorheological laboratory techniques. Clin Hemorheol Microcirc 42:75–97

Bautista F, De Santos JM, Puig JE, Manero O (1999) Understanding thixotropic and antithixotropic behavior of viscoelastic micellar solutions and liquid crystalline dispersions. J Non-Newtonian Fluid Mech 80:93–113CrossRef

Bessonov N, Sequeira A, Simakov S, Vassilevskii Y, Volpert V (2016) Methods of blood flow modeling. Math Model Nat Phenom 11(1):1–25CrossRef

Bester J, Pretorius E (2016) Effects of IL-1beta, IL-6 and IL-8 on erythrocytes, platelets and clot viscoelasticity. Sci Rep 6:32188CrossRef

Bharadwaj AN, Ewoldt R (2014) The general low-frequency prediction for asymptotically nonlinear material functions in oscillatory shear. J Rheol 58(4):891–910CrossRef

Bharadwaj AN, Ewoldt R (2015) Constitutive fingerprints in medium-amplitude oscillatory shear. J Rheol 59(2):557–592CrossRef

Bird RB, Armstrong R, Hassager O (1987) Dynamics of polymeric liquids. John Wiley and Sons, NY

Blackwell B, Ewoldt R (2014) A simple thixotropic-viscoelastic constitutive model produces unique signatures in large-amplitude oscillatory shear (LAOS). J Non-Newtonian Fluid Mech 208-209:27–41CrossRef

Brooks D (1973) The effect of neutral polymers on the electrokinetic potential of cells and other charged particles III. Experimental studies on the dextran/erythrocyte system. J Colloid Interface Sci 43:700–713CrossRef

Brun JF, Varlet-Marie E, Romain AJ, Raynaud de Mauverger E (2011) Interrelationships among body composition, blood rheology and exercise performance. Clin Hemorheol Microcirc 49(1–4):183–197

Bureau M, Healy JC, Bourgoin D, Joly M (1979) Etude rhéologique en régime transitoire de quelques échantillons de sangs humains artificiellement modifiés. Rheol Acta 18:756–768CrossRef

Bureau M, Healy JC, Bourgoin D, Joly M (1980) Rheological hysteresis of blood at low shear rate. Biorheology 17:191–203CrossRef

Cecchi E, Marrucci R, Poli D, Antonucci E, Abbate R, Gensini G, Prisco D, Manninni L (2006) Hyperviscosity as a possible risk factor for cerebral ischemic complications in atrial fibrillation patients. Am J Cardiol 97(12):1745–1748CrossRef

Cecchi E, Liotta A, Gori A, Valente S, Giglioli C, Lazzeri C, Sofi F, Gensini G, Abbate R, Manninni L (2009a) Relationship between blood viscosity and infarct size in patients with ST-segment elevation myocardial infarction undergoing primary percutaneous coronary intervention. Int J Cardiol 134(2):189–194CrossRef

Cecchi E, Mannini L, Abbate R (2009b) Role of hyperviscosity in cardiovascular and microvascular diseases. G Ital Nefrol 26(Suppl 46):20–29

Chauhan G, Verma A, Das A, Ojha K (2018) Rheological studies and optimization of Herschel-Bulkley flow parameters of viscous karaya polymer suspensions using GA and PSO algorithms. Rheol Acta 57(3):267–285CrossRef

Chen G, Zhou L, Liu Y, Liao F, Han D, Zhou H (2012) Regulation of blood viscosity in disease prevention and treatment. Chin Sci Bull 57(16):1946–1952CrossRef

Ciuffetti G, Schillaci R, Lombardini R, Pirro M, vaudo G, Mannarino E (2005) Prognostic impact of low-shear whole blood viscosity in hypertensive men. Eur J Clin Investig 35(2):93–98CrossRef

Clarion M, Deegan M, Helton T, Hudgins J, Monteferrante N, Ousley E, Armstrong M (2018) Contemporary modeling and analysis of steady state and transient human blood rheology. Rheol Acta 57(2):141–168CrossRef

Cohen JD (2007) Overview of physiology, vascular biology, and mechanisms of hypertension. J Manag Care Pharm 13(5 Suppl):S6–S8

Cokelet GR, Merrill EW, Gilliland ER, Shin H, Britten A, Wells RE (1963) The rheology of human blood–measurement near and at zero shear rate. Trans Soc Rheol 7(1):303–317CrossRef

Connes P, Renoux C, Romana M, Abkarian M, Joly P, Martin C, Hardy-Dessources M, Ballas S (2018) Blood rheological abnormalities in sickle cell anemia. Clin Hemorheol Microcirc 68(2–3):165–172CrossRef

Coussot P (2017) Bingham’s heritage. Rheol Acta. https://doi.org/10.1007/s00397-016-0983-y CrossRef

de Souza Mendes PR, Thompson RL (2012) A critical overview of elasto-viscoplastic thixotropic modeling. J Non-Newtonian Fluid Mech 187-188:8–15CrossRef

de Souza Mendes PR, Thompson RL (2013) A unified approach to model elasto-viscoplastic thixotropic yield-stress materials and apparent yield-stress fluids. Rheol Acta 52:673–694CrossRef

Dimitriou CJ, Ewoldt RH, McKinley GH (2013) Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (LAOStress). J Rheol 57:27–70CrossRef

Dullaert K, Mewis J (2006) A structural kinetics model for thixotropy. J Non-Newtonian Fluid Mech 139(1–2):21–30CrossRef

Dumanskiy YV, Stoliarova OY, Syniachenko OV, Giulmamedova MF, Potapov YA (2017) Adsorption-rheological properties of blood serum in lung cancer patients. Exp Oncol 39(4):304–307

Earl DJ, Deem MW (2005) Parallel temperin: theory, applications and new perspectives. Phys Chem 7:3910–3916

Ercan M, Konukoglu D (2008) Role of plasma viscosity and plasma homocysteine level on hyperinsulinemic obese female subjects. Clin Hemorheol Microcirc 38(4):227–234

Ewoldt R, Bharadwaj AN (2013) Low-dimensional intrinsic material functions for nonlinear viscoelasticy. Rheol Acta 52:201–219CrossRef

Ewoldt RH, McKinley GH (2017) Mapping thixo-elastic-visco-plastic behavior. Rheol Acta 56:195–210CrossRef

Floudas CA, Esposito WR (2000) Optimization for the parameter estimation of differential algebraic systems. Ind Eng Chem Res 39:1291–1310CrossRef

Giacomin AJ, Dealy JM (1993) Large-amplitude oscillatory shear. In: Collyer AA (eds) Techniques in rheological measurement. Springer, DordrechtCrossRef

Goodeve CF (1939) A general theory of thixotropy and viscosity. Trans Faraday Soc 35:342–358CrossRef

Herrera-Valencia EE, Calderas F, Medina-Torres L, Perez-Camacho M, Moreno L, Manero O (2017) On the pulsating flow behavior of a biological fluid: human blood. Rheol Acta 56:387–407. https://doi.org/10.1007/s00397-017-0994-3 CrossRef

Horner J, Armstrong M, Wagner N, Beris A (2018a) Investigation of blood rheology under steady and unidirectional large amplitude oscillatory shear. J Rheol 62:577–591CrossRef

Horner J, Beris A,Woulfe D,Wagner N (2018b) Effects of ex vivo aging and storage temperature on blood viscosity. Clin Hemorheol Microcirc. https://doi.org/10.3233/CH-170330

Hoyle D, Auhl D, harlen O, Barroso V, Wilhelm M McLeish T (2014) Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts. J Rheol 58:969–996CrossRef

Hyun K, Wilhelm M, Klein C, Cho K, nam J, Ahn K, Lee S, Ewoldt R, McKinley G (2011) A review of nonlinear oscillatory shear tests: analysis and application of large amplitude oscillatory shear (LAOS). Prog Polym Sci 36:1697–1753CrossRef

Irace C, Scarinci F, Scorcia V, Bruzzichessi D, Fiorentino R, Randazzo G, Scorcia G, Gnasso A (2011) Association among low whole blood viscosity, haematocrit, haemoglobin and diabetic retinopathy in subjects with type 2 diabetes. Br J Ophthalmol 95(1):94–98CrossRef

Khodabandehlou T, Vimeux M, Le Devehat C (2003) Measurements of transcutaneous oxygen pressure and changes in blood rheology as markers of prognosis of critically ischemic limb in diabetes mellitus patients. Int J Low Extrem Wounds 2(1):13–18CrossRef

Larson RG (2015) Constitutive equations for thixotropic fluids. J Rheol 59(3):595–611CrossRef

Le Devehat C, Vimeux M, Khodabandehlou T (2004) Blood rheology in patients with diabetes mellitus. Clin Hemorheol Microcirc 30(3–4):297–300

Lee AJ, Mowbray P, Lowe G, Fowkes F, Allan P (1998) Blood viscosity and elevated carotid intima- media thickness in men and women: the Edinburgh Artery Study. Circulation 97(15):1467–1473CrossRef

Lowe GD, Lowe J, Drummond M, Reith S, Belch J, Kesson C, Wylie A, Foulds W, Forbes C, MacCuish A, Manderson W (1980) Blood viscosity in young male diabetics with and without retinopathy. Diabetologia 18(5):359–363

Lowe GD, Lee AJ, Rumley A, Price JF, Fowkes FG (1997) Blood viscosity and risk of cardiovascular events: the Edinburgh Artery Study. Br J Haematol 96(1):168–173CrossRef

Malkin A, Kulichikhin V, Ilyin S (2017) A modern look on yield stress fluids. Rheol Acta 56:177–188. https://doi.org/10.1007/s00397-016-0963-2 CrossRef

Mandel DM (2016) Rheology of blood: biophysical significance, measurement, pathophysiology and pharmacologic therapy. World Journal of Pharmacy and Pharmaceutical Sciences 5(6):2165–2184

Merrill E (1969) Rheology of blood. Physiol Rev 49:4

Metropolis N, Rosnebluth A, Rosenbluth M, Teller A, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1090CrossRef

Mewis J, Wagner NJ (2012) Colloidal suspension rheology. Cambridge University Press, NY

Mollica H, Coclite A, Miali M, Pereira R, Paleari L, Maneschi C, DeCensi A, Decuzzi P (2018) Deciphering the relative contribution of vascular inflammation and blood rheology in metastatic spreading. Biomicrofluidics 12(4):042205CrossRef

Moreno L, Calderas F, Sanchez-Olivares G, Medina-Torres L, Sanchez-Solis A, Manero O (2015) Effect of cholesterol and tryglycerides levels on the rheological behavior of human blood. Korea-Australia Rheology Journal 27(1):1–10CrossRef

Mujumdar A, Beris AN, Metzner AB (2002) Transient phenomena in thixotropic systems. J Non Newtonian Fluid Mech 102:157–178CrossRef

Naghedi-Baghdar H, Seyed-Mohammad N, Taghipour A, Nematy M, Shokri S, Mahammad-Reza M, Molkara T, Javan R (2018) Effect of diet on blood viscosity in healthy humans: a systematic review. Electron Physician 10(3):6563–6570CrossRef

Owens R (2006) A new microstructure-based constitutive model for human blood. J Non-Newtonian Fluid Mech 140:57–70CrossRef

Renoux C, Joly P, Gauthier A, Pialoux V, Romanet-Faes C, Bertrand Y, Garnier N, Cuzzubbo D, Cannas G, Connes P (2018) Blood rheology in children with the S/beta+-thalassemia syndrome. Clin Hemorheol Microcirc 69(1–2):207–214CrossRef

Replogle RL, Meiselman HJ, Merrill EW (1967) Clinical implications of blood rheology studies. Circulation 36(1):148–160CrossRef

Santos MJ, Pedro M, Canhao H, Fernandes e Fernandes J, da Silva C, Fonseca J, Saldanha C (2011) Hemorheological parameters are related to subclinical atherosclerosis in systemic lupuserythematosus and rheumatoid arthritis patients. Atherosclerosis 219(2):821–826CrossRef

Saramito P (2009) A new elastoviscoplastic model based on the Herschel-Bulkley viscoplastic model. J Non-Newtonian Fluid Mech 158:154–161CrossRef

Schut NH, van Arkel E, Hardeman M, Bilo H, Michels R, Vreeken J (1992) Blood and plasma viscosity in diabetes: possible contribution to late organ complications? Diabetes Res 19(1):31–35

Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6(2):461–464CrossRef

Sercelik A, Besnili AF (2018) The contribution of whole blood viscosity to the process of aortic valve sclerosis. Med Princ Pract 27(2):173–178CrossRef

Skretteberg PT, Bodegard J, Kjeldsen S, Erikssen G, Thaulow E, Sandvik L, Erikssen J (2010) Interaction between inflammation and blood viscosity predicts cardiovascular mortality. Scand Cardiovasc J 44(2):107–112CrossRef

Sloop GD, Weidman JJ, St Cyr JA (2015) The systemic vascular resistance response: a cardiovascular response modulating blood viscosity with implications for primary hypertension and certain anemias. Ther Adv Cardiovasc Dis 9(6):403–411CrossRef

Song H, Hyun K (2018) Decomposition of Q0 from FT-rheology into elastic and viscous parts: intrinsic-nonlinear master curves for polymer solutions. J Rheol 62:919–938CrossRef

Sousa PC, Carneiro K, Vaz R, Cerejo A, Pinho FT, Alves MA, Oliveira MS (2013) Shear viscosity and nonlinear behavior of whole blood under large amplitude oscillatory shear. Biorheology 50(5–6):269–282

Sousa PC, Pinho FT, Alves MA, Oliveira M (2016) A review of hemorheology: measuring techniques and recent advances. Korea Australia Rheology Journal. 28(1):1–22CrossRef

Spall JC (2003) Introduction to stochastic search optimization. John Wiley & Sons, HobokenCrossRef

Sun N, De Kee D (2001) Simple shear, hysteresis and yield stress of biofluids. Can J Chem Eng 79:36–41CrossRef

Tamariz LJ, Young J, Panklow J, Yeh H, Schmidt M, Astor B, Brancati F (2008) Blood viscosity and hematocrit as risk factors for type 2 diabetes mellitus: the atherosclerosis risk in communities (ARIC) study. Am J Epidemiol 168(10):1153–1160CrossRef

Turczynski B, Michalska-Malecka K, Slowinska L, Szczesny S, Romaniuk W (2003) Correlations between the severity of retinopathy in diabetic patients and whole blood and plasma viscosity. Clin Hemorheol Microcirc 29(2):129–137

Wang W, Huang X, Sun Y, Zhang J (2018) Blood rheology of angina pectoris patients with myocardial injury after ischemia reperfusion and its effect on thromboxane B(2) levels. Exp Ther Med 15(1):769–772

Wei Y, Solomon MJ, Larson RG (2016) Quantitative nonlinear thixotropic model with stretched exponential response in transient shear flows. J Rheol 60(6):1301–1315CrossRef

Williams DF, Askill IN, Smith R (1985) Protein adsorption and desorption phenomena on clearn metal surfaces. J Biomed Mater Res 19(3):313–320CrossRef

Woodward M, Rumley A, Tunstall-Pedoe H, Lowe GD (2003) Does sticky blood predict a sticky end? Associations of blood viscosity, haematocrit and fibrinogen with mortality in the West of Scotland. Br J Haematol 122(4):645–650CrossRef

Title: Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions
Authors: Matthew Armstrong
Jeffrey Horner
Michael Clark
Michael Deegan
Timothy Hill
Charles Keith
Lynne Mooradian
Publication date: 22-09-2018
Publisher: Springer Berlin Heidelberg
Published in: Rheologica Acta / Issue 11/2018
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-018-1109-5

Springer Professional

Abstract

Please log in to get access to your license.

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

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Other articles of this Issue 11/2018

Droplet retraction in the presence of nanoparticles with different surface modifications

Hanswalter Giesekus 1922–2017

High sensitivity measurements of normal force under large amplitude oscillatory shear

Characterization of physical aging by time-resolved rheometry: fundamentals and application to bituminous binders

Rheological studies and optimization of Herschel–Bulkley parameters of an environmentally friendly drilling fluid using genetic algorithm

Premium Partners