Volume 19, Issue 12 (December 2019)                   Modares Mechanical Engineering 2019, 19(12): 3023-3030 | Back to browse issues page

XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Aghaie H, Saghafian M, Saedi D. 2D Simulation of Red Blood Cell Deformation with Viscoelastic Properties under Ultrasonic Waves. Modares Mechanical Engineering 2019; 19 (12) :3023-3030
URL: http://mme.modares.ac.ir/article-15-28730-en.html
1- Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
2- Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran , saghafian@cc.iut.ac.ir
Abstract:   (4775 Views)
Today, the use of ultrasonic waves is expanding to the separation of particles or cells. One of the effective factors in the separating is cell deformation caused by ultrasonic waves. The most popular models used for deformation are the elastic and viscoelastic models. In this research, the cell has been modeled in a fluid environment under the influence of ultrasonic waves and deformations has been obtained. For this purpose, the Helmholtz equation that is a combine of the disturbance equations of sound waves and Navier-Stokes equation is solved and acoustic pressure is obtained. This pressure is then applied to the cell as deformation agent and the deformation is obtained using fluid-solid interactions modeling. Initially, deformation of the cell with elastic properties has been presented and validation has been conducted using comparison with the previous experimental researches. Finally, the deformation for the viscoelastic cell, which has so far not been used for deformation modeling in the acoustic field, has been obtained and presented. The results show that the viscoelastic model has the most compatibility with the experiment results. Also, the effect of frequency on the aspect ratio has been investigated. As the frequency ranges increased from 2 to 8 MHz, the aspect ratio is increased to 0.3.
Full-Text [PDF 1331 kb]   (1833 Downloads)    
Article Type: Original Research | Subject: Computational Fluid Dynamic (CFD)
Received: 2018/12/29 | Accepted: 2019/05/26 | Published: 2019/11/21

References
1. Kasper DL, Fauci AS, Hauser SL, Longo DL, Jameson JL, Loscalzo J. Harrison's principles of internal medicine. 19th Edition. New York: McGraw Hill Professional; 2015. [Link]
2. Longo D, Fauci A, Kasper D, Hauser S, Jameson J, Loscalzo J. Harrison's principle of internal medicine. 18th Edition. New York: McGraw Hill Professional; 2011. [Link]
3. Muller PB, Barnkob R, Jensen MJ, Bruus H. A numerical study of microparticle acoustophoresis driven by acoustic radiation forces and streaming-induced drag forces. Lab on a Chip. 2012;12(22):4617-4627. [Link] [DOI:10.1039/c2lc40612h]
4. King LV. On the acoustic radiation pressure on spheres. Proceedings of the Royal Society A. 1934;147(861):212-240. [Link] [DOI:10.1098/rspa.1934.0215]
5. Yosioka K, Kawasima Y. Acoustic radiation pressure on a compressible sphere. Acta Acustica United with Acustica. 1955;5(3):167-173. [Link]
6. Gor'Kov LP. On the forces acting on a small particle in an acoustical field in an ideal fluid. Soviet Physics Doklady. 1962;6:773-775. [Link]
7. Marston PL. Shape oscillation and static deformation of drops and bubbles driven by modulated radiation stresses-Theory. The Journal of the Acoustical Society of America. 1980;67(1):15-26. [Link] [DOI:10.1121/1.383798]
8. Shi T, Apfel RE. Oscillations of a deformed liquid drop in an acoustic field. Physics of Fluids. 1995;7(7):1545-1552. [Link] [DOI:10.1063/1.868541]
9. Mishra P, Hill M, Glynne-Jones P. Deformation of red blood cells using acoustic radiation forces. Biomicrofluidics. 2014;8(3):034109. [Link] [DOI:10.1063/1.4882777]
10. Wijaya FB, Mohapatra AR, Sepehrirahnama S, Lim KM. Coupled acoustic-shell model for experimental study of cell stiffness under acoustophoresis. Microfluidics and Nanofluidics. 2016;20(5):69. [Link] [DOI:10.1007/s10404-016-1734-1]
11. Lekka M, Fornal M, Pyka-Fościak G, Lebed K, Wizner B, Grodzicki T, Styczeń J. Erythrocyte stiffness probed using atomic force microscope. Biorheology. 2005;42(4):307-317. [Link]
12. Guck J, Ananthakrishnan R, Mahmood H, Moon TJ, Cunningham CC, Käs J. The optical stretcher: a novel laser tool to micromanipulate cells. Biophysical Journal. 2001;81(2):767-784. [Link] [DOI:10.1016/S0006-3495(01)75740-2]
13. Hertz HR. Uber die Beruhrung fester elastischer Korper und Uber die Harte. Verhandlung des Vereins zur Beforderung des GewerbefleiBes, Berlin. 2006;1882(S):449-463. [German] [Link]
14. Zheng S, Lin H, Liu JQ, Balic M, Datar R, Cote RJ, Tai YC. Membrane microfilter device for selective capture, electrolysis and genomic analysis of human circulating tumor cells. Journal of Chromatography A. 2007;1162(2):154-161. [Link] [DOI:10.1016/j.chroma.2007.05.064]
15. Rienstra SW, Hirschberg A. An introduction to acoustics. Eindhoven University of Technology. 2004;18:19. [Link]
16. Settnes M, Bruus H. Forces acting on a small particle in an acoustical field in a viscous fluid. Physical Review E. 2012;85(1 Pt 2):016327. [Link] [DOI:10.1103/PhysRevE.85.016327]
17. Lim CT, Zhou EH, Quek ST. Mechanical models for living cells-a review. Journal of Biomechanics. 2006;39(2):195-216. [Link] [DOI:10.1016/j.jbiomech.2004.12.008]
18. Fung YC, Tong P. Computational solid mechanics. Volume 1. Singapore: World Scientific Publishing Co. Pte. Ltd; 2001. [Link]
19. López-Guerra EA, Solares SD. Modeling viscoelasticity through spring-dashpot models in intermittent-contact atomic force microscopy. Beilstein Journal of Nanotechnology. 2014;5:2149-2163. [Link] [DOI:10.3762/bjnano.5.224]
20. Machiraju C, Phan AV, Pearsall AW, Madanagopal S. Viscoelastic studies of human subscapularis tendon: relaxation test and a Wiechert model. Computer Methods and Programs in Biomedicine. 2006;83(1):29-33. [Link] [DOI:10.1016/j.cmpb.2006.05.004]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.