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Numerical Study on the Dynamics and Oxygen Uptake of Healthy and Malaria-Infected Red Blood Cells

Published online by Cambridge University Press:  21 July 2015

P. G. Jayathilake ,
Gang Liu ,
Zhijun Tan  and
B. C. Khoo
P. G. Jayathilake
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119260, Singapore
Gang Liu
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119260, Singapore
Zhijun Tan*
Affiliation:
Guangdong Province Key Laboratory of Computational Science and School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China
B. C. Khoo
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Kent Ridge Crescent, Singapore 119260, Singapore Singapore-MIT Alliance, 4 Engineering Drive 3, National University of Singapore, Singapore 117576, Singapore
*
*Corresponding author. Email: pgjayathilake@gmail.com (P. G. Jayathilake), mpeliuga@nus.edu.sg (G. Liu), tzhij@mail.sysu.edu.cn (Z. J. Tan), mpekbc@nus.edu.sg (B. C. Khoo)
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Abstract

Red blood cells (RBCs) are very important due to their role of oxygen transport from lungs. As the malaria parasite grows in the malaria-infected red blood cells (IRBCs), the properties of the cells change. In the present work, the oxygen uptake by RBCs and IRBCs at the pulmonary capillaries is simulated using a numerical technique based on the two-dimensional immersed interface method. The results for the oxygen uptake by a stationary single RBC have fair agreements with the previously reported results. The numerical results show that the malaria infection could significantly cause deterioration on the oxygen uptake by red blood cells. The results also suggest that the oxygen uptake by individual stationary RBC/IRBC would not be significantly affected by the neighboring cells provided the separation distance is about the dimension of the cell. Furthermore, it appears that the oxygen uptake by both RBCs and IRBCs is dominated by mass diffusion over the convection although the Peclet number is of the order of unity.

Keywords

76Z0576M2076D0576R9965M0674F1092C10Red blood cellmalariaoxygenbiomechanicsnumerical simulation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 5 , October 2015 , pp. 549 - 568
Copyright
Copyright © Global-Science Press 2015 

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References

[1]Secomb, T. W. and Skalak, R., A two-dimensional model for capillary flow of an asymmetric cell, Microvasc. Res., 24(1982), pp. 194–203.Google Scholar
[2]Secomb, T. W, Flow-dependent rheological properties of blood in capillaries, Microvasc. Res., 34(1987), pp. 46–58.CrossRefGoogle ScholarPubMed
[3]Pozrikidis, C., Orbiting motion of a freely-suspended spheroid near a plane wall, J. Fluid Mech., 541(2005), pp. 105–114.Google Scholar
[4]Pozrikidis, C., Effect of surfactants on film flow down a periodic wall, J. Fluid Mech., 496(2003), pp. 105–127.Google Scholar
[5]Liu, Y., and Liu, W. K.,, Rheology of red blood cell aggregation by computer simulation, J. Comput. Phys., 220(1) (2006), pp. 139–154.CrossRefGoogle Scholar
[6]Zhang, J., Johnson, P. C. and Popel, A. S.,, Red blood cell aggregation and dissociation in shear flows simulated by Lattice Boltzmann method, J. Biomech., 41(1) (2008), pp. 47–55.Google Scholar
[7]Hartmann, D., A multiscale model for red blood cell membranes, Biomech. Model. Mechanobiol., 9 (2010), pp. 1–17.CrossRefGoogle Scholar
[8]Hellums, J. D., The resistance to oxygen transport in the capillaries relative to that in the surrounding tissue, Microvasc. Res., 13 (1997), pp. 131–136.Google Scholar
[9]Groebe, K., and Thews, G.,, Effects of red cell spacing and red cell movement upon oxygen release under conditions of maximally working skeletal muscle, Adv. Exp. Med. Biol., 248 (1989), pp. 175–185.Google Scholar
[10]Wang, C., and Popel, A. S.,, Effect of red blood cell shape on oxygen transport in capillaries, Math. Biosci., 116 (1993), pp. 89–110.Google Scholar
[11]Shi, L., Pan, T.-W. and Glowinski, R.,, Numerical simulation of lateral migration of red blood cells in Poiseulille flows, Int. J. Numer. Meth. Fluid, 68 (2012), pp. 1393–1408.Google Scholar
[12]Davis, S.P., Amrein, M., Gillrie, M. R., Lee, K., Muruve, D. A. and Ho, M.,, Plasmodium falciparum-induced CD36 clustering rapidly strengthens cytoadherence via p130CAS-mediated actin cytoskeletal rearrangement, J. FASEB, 26 (2012), pp. 1119–1130.Google Scholar
[13]Dondorp, A. M., Kager, P. A., Vreeken, J. and White, N. J., Abnormal blood flow and red blood cell deformability in severe malaria, Parasitol. Today, 16(6) (2000), pp. 228–232.CrossRefGoogle ScholarPubMed
[14]Ho, M. and White, N. J., Molecular mechanics of cyto-adherence in malaria, Am. J. Physiol. Cell Ph., 276 (1999), pp. 1231–1242.Google Scholar
[15]Shelby, J. P., White, J., Ganesan, K., Rathod, P. K. and Chiu, D. T., A microfluidic model for single-cell capillary obstruction by Plasmodium falciparum infected erythrocytes, Proc. Nat. Acad. Sci. USA, 100(25) (2003), pp. 14618–14622.Google Scholar
[16]Kondo, T., Imai, Y., Ishikawa, T., Tsubota, K. and Yamaguchi, T., Hemodynamics analysis of microcirculation in malaria infection, Ann. Biomed. Eng., 37 (2009), pp. 702–709.Google Scholar
[17]Imai, Y.Nakaaki, K., Kondo, H., Ishikawa, T., Lim, C. T. and Yamaguchi, T., Margination of red blood cells infected by Plasmodium falciparum in a microvessel, J. Biomech., 44 (2011), pp. 1553–1558.Google Scholar
[18]Secomb, T. W., Hsu, R. and Pries, A. R., A model for red blood cell motion in glycocalyx lined capillaries, Am. J. Physiol. Heart C, 274 (1998), pp. 1016–1022.Google Scholar
[19]Fedosov, D. A., Caswell, B. and Karniadakis, G. E., Wall shear stress-based model for adhesive dynamics of red blood cells in malaria, Biophys. J., 100 (2011), pp. 2084–2093.Google Scholar
[20]Krishna, S., Shoubridge, E. A., White, N. J., Weatherall, D. J. and Radda, G. K., Plasmodium yoelii: Blood oxygen and brain function in the infected mouse, Exp. Parasitol., 56 (1983), pp. 391–396.Google Scholar
[21]Schall, J. J., Bennett, A. F. and Putnam, R. W., Lizards infected with malaria: Physiological and behavioral consequences, Science, 217 (1982), pp. 1057–1059.Google Scholar
[22]Bongbele, J., Ewamela, A., Diakoundila, E. and Mankele, R., Oxygen transport capacity of blood in athletes with malarial infection, Rev. Mal. Respir., 15(1) (1998), pp. 57–59.Google Scholar
[23]Leveque, R. J. and Li, Z., The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, Siam J. Numer. Anal., 31 (1994), pp. 1019–1044.Google Scholar
[24]Seifert, U., Adhesion of vesicles in the two dimensions, Phys. Rev. A, 43 (1991), pp. 6803–6814.Google Scholar
[25]Frank, A. O., Chuong, C. J. C. and Johnson, R. L., A finite-element model of oxygen diffusion in the pulmonary capillaries, J. Appl. Physiol., 82 (1997), pp. 1717–1718.Google Scholar
[26]Le, D. V., Khoo, B. C. and Peraire, J., An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries, J. Comput. Phys., 220 (2006), pp. 109–138.Google Scholar
[27]Kim, J. and Moin, P., Application of a fractional step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59 (1985), pp. 308–323.Google Scholar
[28]Jayathilake, P. G., Liu, G., Tan, ZHIJUN and Khoo, B. C., Numerical study of a permeable capsule under Stokes flows by the immersed interface method, Chem. Eng. Sci., 66(10) (2011), pp. 2080–2090.Google Scholar
[29]Jayathilake, P. G., Khoo, B. C. and Tan, ZHIJUN, Effect of membrane permeability on capsule substrate adhesion: computation using immersed interface method, Chem. Eng. Sci., 65(11) (2010a), pp. 3567–3578.Google Scholar
[30]Jayathilake, P. G., Tan, ZHIJUN, Khoo, B. C. and Wijeysundera, N. E., Deformation and osmotic swelling of an elastic membrane capsule in Stokes flows by the immersed interface method, Chem. Eng. Sci., 65(3) (2010b), pp. 1237–1252.Google Scholar
[31]Suresh, S., Spatz, J., Mills, J. P., Micoulet, A., Dao, M., Lim, C. T., Beil, M. and Seufferlein, T., Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria, Acta. Biomater., 1 (2005), pp. 15–30.Google Scholar
[32]Sasi, P., Burns, S. P., Waruiru, C., English, M., Hobson, C. L., King, C. G., Mosobo, M., Beech, J. S., Iles, R. A., Boucher, B. J. and Cohen, R. D., Metabolic acidosis and other determinants of hemoglobin-oxygen dissociation in severe childhood Plasmodium falciparum malaria, Am. J. Trop. Med. Hyg., 77(2) (2007), pp. 256–260.Google Scholar
[33]Stathopoulos, N. A., Nair, P. K. and Hellums, J. D., Oxygen transport studies of normal and sickle red cell suspensions in artificial capillaries, Microvasc. Res., 34 (1987), pp. 200–210.Google Scholar
[34]Goldberg, D. E., Slater, A. F. G., Cerami, A. and Henderson, G. B., Hemoglobin degradation in the malaria parasite Plasmodium falciparum: An ordered process in a unique organelle, Proc. Nat. Acad. Sci. USA, 87 (1990), pp. 2931–2935.Google Scholar
[35]Lew, V. L., Tiffert, T. and Ginsburg, H., Excess hemoglobin digestion and the osmotic stability of Plasmodium falciparum-infected red blood cells, Blood, 101 (2003), pp. 4189–4194.CrossRefGoogle ScholarPubMed
[36]Nash, G. B., Cooke, B. M., Marsh, K., Berendt, A., Newbold, C. and Stuart, J., Rheo-logical analysis of the adhesive interactions of red blood cells parasitized by Plasmodium falciparum, Blood, 79 (1992), pp. 798–807.Google Scholar
[37]Nunn, J. F., Applied Respiratory Physiology, Butterworth-Heinemann, Oxford, UK, 1993.Google Scholar
[38]Whiteley, J. P., Gavaghan, D. J. and Hahn, C. E. W., Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries, Math. Biosci., 169 (2001), pp. 153–172.Google Scholar
[39]N’Dri, N. A., Shyy, W. and Tran-Son-Tay, R., Computational modeling of cell adhesion and movement using a continuum-kinetics approach, Biophys. J., 85 (2003), pp. 2273–2286.Google Scholar