Abstract

We present a numerical method based on the linear elastic membrane theory to compute the morphological deformation of a spherical cell from the photonics stress distribution over the cellular membrane. The method is applied to fit the experimental data for deformation of a spherical human red blood cell trapped and stretched in a fiber-optical dual-beam trap with a single fitting parameter Eh where E is the Young’s modulus of elasticity and h is the thickness of the cell membrane. We obtained Eh = (20±2)μNm-1 which is comparable to results reported earlier. This numerical method can be applied in general experimental conditions.

© 2007 Optical Society of America

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  1. J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The optical stretcher: a novel laser tool to micromanipulate cells," Biophys. J. 81,767-784 (2001).
  2. P. B. Bareil, Y. Sheng and A. Chiou, "Local stress distribution on the surface of a spherical cell in an optical stretcher," Opt. Express 14,12503-12509 (2006).
    [CrossRef]
  3. G. B. Liao, Y. Q. Chen, H. J. Fan, A. Karmenyan, C. H. Lin, W. H. Chang, and A. Chiou, "Recent progresses in optical trap-and-stretch of red blood cells," Proc. SPIE vol.  6633, 24 (2007).
  4. A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM,".Nanotechnology 4,106-113 (1993).
  5. R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
    [CrossRef]
  6. S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New determination of the shear modulus of the human erythrocyte membrane using optical tweezers," Biophys. J. 76,1145-1151, (1999).
  7. E. Ventsel and T. Krauthammer, "Thin plate and shells," (Marcel Dekket, New York, 2001).
  8. M. Dao, J. Li, S. Suresh, "Molecularly based analysis of deformation of spectrin network and human erythrocyte," Materials Science and Engineering 26,1232 - 1244 (2006).

2007 (1)

G. B. Liao, Y. Q. Chen, H. J. Fan, A. Karmenyan, C. H. Lin, W. H. Chang, and A. Chiou, "Recent progresses in optical trap-and-stretch of red blood cells," Proc. SPIE vol.  6633, 24 (2007).

2006 (2)

M. Dao, J. Li, S. Suresh, "Molecularly based analysis of deformation of spectrin network and human erythrocyte," Materials Science and Engineering 26,1232 - 1244 (2006).

P. B. Bareil, Y. Sheng and A. Chiou, "Local stress distribution on the surface of a spherical cell in an optical stretcher," Opt. Express 14,12503-12509 (2006).
[CrossRef]

2001 (1)

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The optical stretcher: a novel laser tool to micromanipulate cells," Biophys. J. 81,767-784 (2001).

2000 (1)

R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
[CrossRef]

1999 (1)

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New determination of the shear modulus of the human erythrocyte membrane using optical tweezers," Biophys. J. 76,1145-1151, (1999).

1993 (1)

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM,".Nanotechnology 4,106-113 (1993).

Biophys. J. (2)

S. Hénon, G. Lenormand, A. Richert, and F. Gallet, "A New determination of the shear modulus of the human erythrocyte membrane using optical tweezers," Biophys. J. 76,1145-1151, (1999).

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C.C. Cunningham, and J. Käs, "The optical stretcher: a novel laser tool to micromanipulate cells," Biophys. J. 81,767-784 (2001).

J. Biomech. (1)

R. M. Hochmuth, "Micropipette aspiration of living cells," J. Biomech. 33,15-22 (2000).
[CrossRef]

Materials Science and Engineering (1)

M. Dao, J. Li, S. Suresh, "Molecularly based analysis of deformation of spectrin network and human erythrocyte," Materials Science and Engineering 26,1232 - 1244 (2006).

Nanotechnology (1)

A. L Weisenhornt, M. Khorsandit, S. Kasast, V. Gotzost and H.-J. Butt, "Deformation and height anomaly of soft surfaces studied with an AFM,".Nanotechnology 4,106-113 (1993).

Opt. Express (1)

Proc. SPIE (1)

G. B. Liao, Y. Q. Chen, H. J. Fan, A. Karmenyan, C. H. Lin, W. H. Chang, and A. Chiou, "Recent progresses in optical trap-and-stretch of red blood cells," Proc. SPIE vol.  6633, 24 (2007).

Other (1)

E. Ventsel and T. Krauthammer, "Thin plate and shells," (Marcel Dekket, New York, 2001).

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