• Ismi Yasifa
  • Sparisoma Viridi Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Keywords: deformability, granular, internal hydrostatic pressure, red blood cell, spring


The red blood cell membrane has a complex structure and high deformability. Simulation of that complex red blood cell membrane can simpler use granular-based modeling. Red blood cell is modeled consisting of 50 granular particles connected by springs. An i-particle is connected with two of its first nearest particles which are i+1-particle and i-1-particle and with two of its second nearest particles which are i+2-particle and i-2-particle. Each particle has a spring force and forces from internal hydrostatic pressure. Spring force is a product of the spring constant and change of spring length of two particles. Meanwhile, forces of internal hydrostatic pressure is a product of particle diameter and the difference in the outside and inside pressure of red blood cell membrane. In this research, there is variation in spring length and spring constant that can model deformability of three shapes of red blood cell; those are biconcave, ellipse, and circle. This variation in spring length and spring constant for every cell shape in this modeling can also use for other initial cell shapes, which shows that initial cell shapes deform into shape according to variation used.


K. Kenneth, Williams Hematology. New York: McGraw-Hill, 2010.

Maciaszek, J. L. and G. Lykotrafitis, “Sickle Cell Trait Human Erythrocytes are Significantly Stiffer than Normal”, Journal of Biomechanics, vol. 44(4), pp. 657-661, 2011.

I. Safeukui, P.A. Buffet, et al., “Quantitative Assessment of Sensing and Sequestration of Spherocytic Erythrocytes by the Human Spleen”, Blood, vol. 120, pp. 424-430, 2012.

M. Muller, K. Katsov, et al., “Biological and Synthetic Membranes: What Can be Learned from a Coarse-Grained Description?”, Physics Rep., vol. 434(5-6), pp. 113-176, 2006.

I. Yasifa and S. Viridi, “Pemodelan Dua Dimensi Deformabilitas Sel Darah Merah berbasis Granular”, Prosiding SNIPS ITB 2018.

Fedosov, A. Dmitry, et al., “Coarse-Grained Red Blood Cell Model with Accurate Mechanical Properties, Rheology, and Dynamics”, Proc. Eng. in Medicine and Biology Soc., 2009 Annu. Int. Conf. IEEE, pp. 4266-4269, 2009.

Pamplona, D.C, Goncalves, P. B., et al., “Finite Deformations of Cylindrical Membrane under Internal Pressure”, Int. J. Mechanical Sciences, vol. 48(6), pp. 683-696, 2005.

Diez-Silva, M., et al., “Shape and Biomechanical Characteristics of Human Red Blood Cells in Health and Disease”, MRS Bull, vol. 35, pp. 382-388, 2010.

How to Cite
Yasifa, I., & Viridi, S. (2019). THE SPRING VARIATION IN TWO DIMENSIONAL MODELING OF RED BLOOD CELL DEFORMABILITY BASED ON GRANULAR. Spektra: Jurnal Fisika Dan Aplikasinya, 4(2), 51 - 60.