Magnetisation of red blood cells: a Brownian Dynamics Simulation
M.E. Canoª, R. Castañeda-Priegob, A. Barreraª, J.C. Estradaª, P. Knauthª, and M.A. Sosa b
a Centro Universitario de la Ciénega, Universidad de Guadalajara, Av. Universidad 1115, 47810 Ocotlan, Jal., Mexico, e-mail: eduardo.cano@cuci.udg.mx
b División de Ciencias e Ingenierías de la Universidad de Guanajuato, Lomas del Bosque 103, Col. Lomas del Campestre, León, Gto., Mexico
]]> Recibido el 27 de marzo de 2012;
Abstract
A model to calculate the magnetisation of deoxyhemoglobin of human blood by means of Brownian dynamics simulations is presented. We consider a system made up of dipolar magnetic spheres, which can interact but do not overlap. Particles are exposed to external magnetic fields to compute the magnetisation curve, which exhibit a Langevin-like behaviour. The magnetic susceptibility of the erythrocytes and completely deoxygenated whole blood are xP= 1.61 x 10-6(SI) and χWB = —4.46 x 10-6(SI), respectively, which are in good agreement to experimental data and theoretical calculations. Moreover, we also compute the paramagnetic component of the susceptibility of erythrocytes that in our simulations normal blood from beta thalassemia major samples could be differentiated.
Keywords: Blood; magnetisation; brownian-dynamic; susceptibility.
PACS: 75.Mm; 81.Ip
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]]>Acknowledgement
This work was partially supported by, CONACYT (grants "APOY-COMPL-2009: 118168", 61418/2007, 102339/2008).
References
1. C. K. Mathews, K. E. van Holde and K. G. Ahern Biochemistry Vol. 1 (San Francisco: Addison Wesley Longman, 2002). [ Links ]
2. K. Shikama, Prog. Biophys. Mol Biol. 91 (2006) 83. [ Links ]
3. K. Shikama, Crit. Rev. Biochem. Mol. Biol. 39 (2004) 217. [ Links ]
4. L. Pauling and C. D. Coryell, Proc. Nat. Acad. Sci. USA 22 (1936) 210. [ Links ]
5. Z. Zhang, Ph.D. thesis, Boston (MA: Northeastern University, 2009). [ Links ]
6. M. Cerdonio, S. Morante, D. Torresani, S. Vitale, A. de Young and R. W. Noble, Proc. Nat. Acad. Sci. USA 82 (1985) 102. [ Links ]
7. M. Cerdonio, S. Morante and S. Vitale, Methods Enzymol. 76 (1981) 354. [ Links ]
8. L. Sakhnini and R. Khuzaie, Eur. Biophys J. 30 (2001) 467. [ Links ]
9. T. Higashi et al., Blood 82 (1993) 1328. [ Links ]
10. Y. Haik, V. Pai and C. J. Chen, J. Magnetism Magnet. Mat. 225 (2001) 180. [ Links ]
11. H. Watarai and M. Namba, J. Chromatogr. A. 961 (2002) 3. [ Links ]
12. C. S. Owen, Biophys. J. 22 (1978) 171. [ Links ]
13. E. P. Furlani, J. Phys. D: Appl. Phys. 40 (2007) 1313. [ Links ]
14. W. M. Spees, D. A. Yablonskiy, M. C. Oswood, and J. H. Ackerman, Magnet. Reson. Med. 45 (2001) 533. [ Links ]
15. M. Zborowski, G. R. Ostera, L. R. Moore, S. Milliron, J. J. Chalmers and A. N. Schechter, Biophys. J. 84 (2003) 2638. [ Links ]
16. Y. Haik, V. Pai, C. J. Chen, Journal of Magnetism and Magnetic Materials 194 (1999) 254. [ Links ]
17. W. K. Purves, D. Sadava, G. H. Orians, H. C. Heller Life: The Science of Biology 7th ed. (Sunderland, Mass: Sinauer Associates, 2004). pp. 954. [ Links ]
18. D. Melville, F. Paul and S. Roath, IEEE Transactions on Magnetics 11 (1975) 1701. [ Links ]
19. C. S. Owen, J. Appl. Phys. 53 (1992) 3884. [ Links ]
20. D. S. Taylor and C. D. Coryell, J. Am. Chem. SOC., 60 (1938) 1177. [ Links ]
21. D. Melville, F. Paul and S. Roath, IEEE TRANSACTIONS ON MAGNETICS 6 (1982) 1680. [ Links ]
22. M. Takayasu, D. R. Kelland, J. V. Minervini, F. J. Friedlaender, and S. R. Ash, Proceeding of the International Workshop on Chemical, Physical and Biological Processes under High Magnetic Fields (1999, Omiya, Saitama, Japan, Submitted January 27, 2000). [ Links ]
23. M. E. Cano, T. Cordova-Fraga, M. Sosa, J. Bernal-Alvarado, and O. Baffa, Eur. J. Phys. 29 (2008) 345. [ Links ]
24. M. Sosa et al., Rev. Mex. Fis. E 52 (2006) 111. [ Links ]
25. R. S. Davis, Am. J. Phys. 60 (1992) 365. [ Links ]
26. M. E. Cano, A. Gil-Villegas, M. A. Sosa, J. C. Villagomez and O. Baffa, Chem. Phys. Lett. 432 (2006) 548. [ Links ]
27. M. E. Cano et al., Photochemistry and Photobiology, 84 (2008) 627. [ Links ]
28. D. Frenkel, B. Smit, Understanding Molecular Simulation Vol. 1 (Academic Press, 1996). [ Links ]
29. L. Sakhnini, Journ. of Appl. Phys. 93 (2003) 6721. [ Links ]
30. M. P. Allen M P and D. J. Tildeslay, Computer Simulation of Liquids Vol. 1 (Oxford Science Publications, 1987). [ Links ]
31. D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69 (1978) 1352. [ Links ]
32. E. Ermakova, A. G. Krushelnitsky and V. D. Fedotov, Molecular physics 100 (2002) 2849. [ Links ]
33. L. F. Rojas-Ochoa, R. Castañeda-Priego, V. Lobaskin, A. Stradner, F. Scheffold and P. Schurtenberger, Phys. Rev. Lett. 100 (2008) 178304. [ Links ]
34. B. Bernu, J. P. Hansen, Y. Hiwatari and G. Pastore, Phys. Rev. A 36 (1987) 4891. [ Links ]
35. H. Miyagawa and Y. Hiwatari, Phys. Rev. A 40 (1989) 6007. [ Links ]
36. S. D. Cullity Introduction to magnetic materials Vol. 1 (Addison-Wesley, New York, 1972). pp. 100-110. [ Links ]
37. J. F. Schenck, J. Magnet. Reson. Imaging 12 (2000) 2. [ Links ]
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