Two-dimensional numerical simulation of the red blood cell floating in a plasma-alcohol solution through stenosis in a microvessel

Aleksey Ni; Taqi Ahmad Cheema; Moon Kyu Kwak; Cheol Woo Park

Korea-Australia Rheology Journal, Vol.26, No.3, 293-301, August, 2014

Aleksey Ni, Taqi Ahmad Cheema, Moon Kyu Kwak, and Cheol Woo Park^†

School of Mechanical Engineering, Kyungpook National University, Daegu 702-701, Republic of Korea

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A two-dimensional computational model of a single red blood cell (RBC) floating in a plasma-alcohol solution through a microchannel with stenosis was created using the Arbitrary Lagrangian-Eulerian (ALE) method with moving mesh for a fluid structure interaction problem. Cell deformability and stability were studied in a plasma-alcohol solution at different fluid flow conditions during movement through the channel with stenosis. Different results were obtained for different input parameters. Motion through 45% and 70% stenoses with the high and law velocities of the RBC and different viscosities was analyzed and successfully simulated. Results show that changes in RBC deformability were due to the effects of alcohol. Changes in behavior during motion were also observed. At low shear rate and high surrounding fluid viscosity the RBC showed a tendency to rotate during movement. The proposed model with its coupling of structural and fluid analysis techniques could be useful to understand the effect of alcohol on the RBC passing through stenosis.

Keywords:moving mesh;fluid structure interaction;alcohol;red blood cell;microvessel;deformability;micro-circulation;numerical simulation.

[References]

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[2] Chen B, Guo F, Xiang H, J. Biol. Phys., 37, 429 (2011)

[3] Cho SW, Kim SW, Sung MH, Ro KC, Ryou HS, Korea-Aust. Rheol. J., 23, 7 (2011)

[4] Cranston HA, Boylan CW, Carroll GL, Sutera SP, Williamson JR, Gluzman IY, Krogstad DJ, Science, 223, 400 (1984)

[5] Deng JL, Wei Q, Zhang MH, Wang YZ, Li YQ, J. Ramman Spectrosc., 36, 257 (2005)

[6] Evans E, Fung YC, Microvasc. Res., 4, 335 (1972)

[7] Fischer TM, Stohr-Lissen M, Schmid-Schonbein H, Science, 202, 894 (1978)

[8] Frey PJ, Borouchaki H, Int. J. Numer. Meth. Eng., 45, 101 (1999)

[9] Fung YC, Biomechanics: Mechanical Properties of Living Tissues, Springe-Verlag, New York (1993)

[10] Gdovinova Z, Alcohol Alcohol., 36, 346 (2001)

[11] Gdovinova Z, Drug Alcohol Depend., 81, 207 (2006)

[12] Gokturk HS, Demir M, Ozturk NA, Unler GK, Kulaksizoglu S, Kozanoglu I, Serin E, Yilmaz U, South Med. J., 102, 1013 (2009)

[13] Goldsmith HL, Marlow J, Proc. Roy. Soc. B, 182, 351 (1972)

[14] Guo ZZ, Xiwen Z, Sci. China Life Sci., 54, 450 (2011)

[15] Henon S, Lenormand G, Richert A, Gallet F, Biophys. J., 76, 1145 (1999)

[16] Hillbom ME, Kaste M, Tarssanen L, Johnsson R, Eur. J. Clin. Invest., 13, 45 (1983)

[17] Kim YW, Moon JY, Cho KR, Lee JS, Korea-Aust. Rheol. J., 25(4), 217 (2013)

[18] Korin N, Bransky A, Dinnar U, J. Biomech., 40, 2088 (2007)

[19] Kumar A, Graham MD, Soft Matter, 8, 10536 (2012)

[20] Lim CT, Dao M, Suresh S, Sow CH, Chew KT, Acta Mater., 52, 1837 (2004)

[21] Linderkamp O, Meiselman HJ, Blood, 59, 1121 (1982)

[22] Mills JP, Qie L, Dao M, Lim CT, Suresh S, Mech. Chem. Biosyst., 1, 169 (2004)

[23] Mohandas N, Clark MR, Jacobs MS, Shohet SB, J Clin. Invest., 66, 563 (1980)

[24] Mohandas N, Gallagher PG, Blood, 112, 3939 (2008)

[25] Pries AR, Secomb TW, Gaehtgens P, Gross FJ, Circ. Res., 67, 826 (1990)

[26] Pries AR, Secomb TW, Gessner T, Sperandio MB, Gross JF, Gaehtgens P, Circ. Res., 75, 904 (1994)

[27] Pries AR, Secomb TW, Gaehtgens P, Cardiovasc. Res., 32, 654 (1996)

[28] Ramanujan S, Pozrikidis C, J. Fluid Mech., 361, 117 (1998)

[29] Rotsch C, Jacobson K, Radmacher M, Proc. Natl. Acad. Sci. USA, 96, 921 (1999)

[30] Secomb TW, Microvasc. Res., 34, 46 (1987)

[31] Secomb TW, Styp-Rekowska B, Pries AR, Ann. Biomed. Eng., 35, 755 (2007)

[32] Schmid-Schonbein H, Wells R, Science, 165, 288 (1969)

[33] Skalak R, Branemark PI, Science, 164, 717 (1969)

[34] Stoltz JF, Singh M, Riha P, Hemorheology in Practice, IOS Press Inc., Clifton, USA (1999)

[35] Tsubota K, Wada S, Yamaguchi T, Comput. Meth. Programs Biomed., 83, 139 (2006)

[36] Tsukada K, Sekizuka E, Oshio C, Minamitani H, Microvasc. Res., 61, 231 (2001)

[37] Turczynski B, Slowinska L, Szczesny S, Baschton M, Baschton AB, Szygula J, Wodniecki J, Spyra J, Pol. Arch. Med. Wewn., 108, 971 (2002)

[38] Wang C, Wang X, Ye P, The transport and deformation of blood cells in microchannel, Proc. the 3rd IEEE Int. Conf. on Nano/Micro Eng. and Mol. Syst., Sanya, China, 116-119 (2008)