期刊
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
卷 30, 期 -, 页码 300-305出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jmbbm.2013.11.011
关键词
Microtubules; Wave propagation; Orthotropic-Pasternak model; Elastic medium
资金
- National Science Foundation of China [11172159]
- Shanghai Municipal Education Commission, China [13ZZ070]
- Science and Technology Commission of Shanghai Municipality, China [12ZR1410200]
Microtubules are embedded within elastic medium in living cells, where they perform a wide variety of functions; in cell motility and division, in organelle transport, and in cell organization. Waves propagate along microtubules in performing their physiological functions, so, wave propagation along microtubules has been the topic of research in the past decade. In the present article, the wave propagation in microtubules embedded in the elastic medium has been investigated on the basis of orthotropic-Pasternak model. We considered microtubules as orthotropic elastic shell and its surrounding elastic matrix as Pasternak foundation. We found that the flexural rigidity of microtubules has been increased with the stiffening of the elastic medium. Moreover, we observed that due to the mechanical coupling of microtubules with the elastic medium, their radial wave velocity has increased considerably as compared to other two wave velocities, i.e., longitudinal wave velocity and torsional wave velocity. The effect of foundation parameters H and G is more pronounced on radial wave velocity, to a lesser extent on torsional wave velocity and least eyen negligible on longitudinal wave velocity. (C) 2013 Elsevier Ltd. All rights reserved.
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