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Microtubules are filamentous intracellular structures that are responsible for
various kinds of movements in all eukaryotic cells. The dynamic assembly and disassembly of
microtubules and the mechanical properties of these polymers are essential for many key
cellular processes such as spermatogenesis and the processes of neurons. Mathematical and
computational modeling, especially coupled mechanochemical modeling, has contributed a lot
to understand their dynamics. However, it has remained a great challenge to reduce the
critical discrepancies, which exist between the experimental observations and modeling
results. During this research, the small scaling parameter of the nonlocal Euler-Bernoulli
beam theory is analyzed to demonstrate the free vibration problem of microtubules.
Keywords: microtubules, nonlocal parameter, finite element, Euler-Bernoulli beam theory |
full paper (pdf, 1136 Kb)