Transport memory effects on coupled nonlinear waves in microtubule dynamics

Eric Tankou, Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané

Research output: Contribution to journalArticlepeer-review


The paper examines how microtubules (MTs) function in their biological environment, focusing on soliton-breather solutions. These solutions are nonlinear localized excitations that propagate in an angular continuous model of microtubule dynamics. Our model considers competitive effects from transport memory and nonlinearity, which arise due to collisions between tubulin dimers and particulate entities during energy processing in eukaryotic cells due to the hydrolysis of guanosine triphosphate (GTP). Our mathematical approach determines that the angular displacement of a dimer is governed by a modified system of coupled complex nonlinear Schrödinger equations. Analytical solutions are obtained and propagated in the MT lattice through direct numerical simulations, and small variations in coefficients significantly impact energy processing in cytoplasmic MTs.

Original languageEnglish
Article number114717
JournalChaos, Solitons and Fractals
Publication statusPublished - Apr 2024

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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