Estimate of the Elastic Property of Microtubule Based on a Multiscale Model


Article Preview

This paper presents a multiscale method to estimate the elastic property of the 13_3 microtubule. A microtubule is viewed as being formed by rolling up its planar encounter into the tubular shape, and the transformation is written into a set of equations with three geometrical parameters. The representative cell is chosen as an unit of two pairs of tubulin momoners. With the appropriate longitudinal and lateral interactive potentials, the strain energy density is calculated by deviding the cell’s energy by its spacial volume. The elastic property of microtubule is determined by minimizing the strain energy density, and the elastic constants are calculated in the thereotical scheme of orthotropic elasticity due to the geometrical meanings of the induced parameters. The advantage of the proposed method and its future application are discussed.



Advanced Materials Research (Volumes 211-212)

Edited by:

Ran Chen






Y. Z. Sun et al., "Estimate of the Elastic Property of Microtubule Based on a Multiscale Model", Advanced Materials Research, Vols. 211-212, pp. 545-549, 2011

Online since:

February 2011




[1] B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts and P. Walter: Molecular Biology of the Cell (Garland 2003).

[2] J.A. Tuszynski, J.A. Brown, E. Crawford and E.J. Carpenter: Mathematical and Computer Modelling Vol. 41 (2005), pp.1055-1070.

[3] L.J. Yi, T.C. Chang and C.Q. Ru: Journal of Applied Physics Vol. 103 (2008), 103516.

[4] H. Wada, R.R. Netz: Europhysics Letters Vol. 75 (2006), pp.645-651.

[5] Y.Z. Sun and K.M. Liew: Comput. Meth. Computer Method in Applied Mechanics and Engineering Vol. 197 (2008), pp.3001-3013.

[6] Y.Z. Sun and K.M. Liew: International Journal for Numerical Methods in Engineering Vol. 75 (2008), pp.1238-1258.

[7] H. Jiang, L. Jiang, J.D. Posner and B.D. Vogt: Computational Mechanics Vol. 42 (2008), pp.607-618.

[8] L. Jiang, Y. Gao, F. Mao, Z. Liu and L. Lai: Proteins Vol. 46 (2002), pp.190-196.

[9] M.I. Molodtsov, E.A. Ermakova, E.E. Shnol, E.L. Grishchuk, J.R. McIntosh and F.I. Ataullakhanov: Biophysics Journal Vol. 88 (2005), pp.3167-3179.

DOI: 10.1529/biophysj.104.051789

In order to see related information, you need to Login.