Abstract
This paper presents a higher-order constitutive model for microtubules that is established based on the higher-order Cauchy-Born rule. A microtubule is viewed as being formed by rolling up its planar encounter into the tubular shape. The representative cell is chosen as an unit of two pairs of tubulin momoners, and the distance vector is calculated using the higher-order Caucgy-Born rule. With the appropriate longitudinal and lateral interactive potentials, the strain energy density is calculated by deviding the cell's energy by its spacial volume. In the theoretical scheme of the higher-order congtinuum theory, the elastic property of microtubule is calculated. © 2011 Published by Elsevier Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 973-978 |
| Journal | Procedia Engineering |
| Volume | 31 |
| DOIs | |
| Publication status | Published - 2012 |
| Event | 1st International Conference on Advances in Computational Modeling and Simulation 2011, ACMS 2011 - Kunming, China Duration: 14 Dec 2011 → 16 Dec 2011 |
Research Keywords
- Cauchy-Born rule
- Continuum model
- Microtubules
- Multiscale method
Publisher's Copyright Statement
- This full text is made available under CC-BY-NC-ND 3.0. https://creativecommons.org/licenses/by-nc-nd/3.0/
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