Stability analysis and discrete breather dynamics in the microtubulin lattices

A. Muniyappan, E. Parasuraman and L. Kavitha

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: Breather is a nonlinear wave that propagates along microtubules (MTs), which are crucial for many cellular processes such as mitotic chromosome movement, intracellular transport, signalling, cell shape, and motility since depend on the hydrolysis of guanosine triphosphate (GTP), which releases energy. We look into the effects of the electric field and viscosity factors on the spread of discrete breathers along microtubules. From one end of the filament to the other, the electric field transports biologically significant information, and viscosity influences the polymerization and depolymerization of microtubules. In the present analysis, we have demonstrated that when localized modes occur at particular microtubulin lattices, several types of intrinsic surface modes exist. A linear stability analysis is also performed, and it is found that the eigenvalues strictly reside on the real and imaginary axes, supporting the stability of the generated solutions. Finally, we planned to investigate the possibility of an energy localization by breather over the microtubulin protofilament lattices.

Keywords: Stability analysis; Discrete breather; Microtubules; Protofilament (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792300111X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792300111x

DOI: 10.1016/j.chaos.2023.113210

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().