Skip to main content
padlock icon - secure page this page is secure

Stability Analysis of Jacobi Elliptic Solutions of Microtubule

Buy Article:

$106.34 + tax (Refund Policy)

A nonlinear dynamic model which elucidate the mechanism of the internal motion occuring during the assembly of microtubules (MTs) is considered. The nonlinear space-time dynamics, defined in terms of celebrated 'solitonic' equations, brings indispensable tools for understanding, prediction and control of complex behaviors in both physical and life sciences. MTs is assumed to be a single longitudinal degree of freedom per tubulin dimer, and the motion equation is reduced to the discrete nonlinear Schrödinger equation. Exact solutions are investigated using the Jacobian elliptic fonctions approach. It is shown that such a nonlinear model can lead to the existence of kink solitons, breather as well as Jacobi solutions which can propagate along the microtubule outer surface, and the tubulin tail soliton collisions could serve as elementary computational gates that control cytoskeletal processes. We examine the stability of these solutions and found that the kink solution is stable with respect to small-amplitude fluctuations.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics


Document Type: Research Article

Publication date: November 1, 2014

More about this publication?
  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
  • Editorial Board
  • Information for Authors
  • Submit a Paper
  • Subscribe to this Title
  • Terms & Conditions
  • Ingenta Connect is not responsible for the content or availability of external websites
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more