Localized modulated waves and longitudinal model of microtubules

DOI10.1016/j.amc.2016.03.019zbMath1410.35258OpenAlexW2336601999MaRDI QIDQ1733503

Slobodan Zdravković, Slobodan Zeković, Aleksandr N. Bugay, Miljko V. Satarić

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.019

zbMATH Keywords

nonlinear Schrödinger equationmicrotubulesemi-discrete approximationlocalized modulated soliton

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Protein sequences, DNA sequences (92D20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Kinks and bell-type solitons in microtubules, Nonlinear dynamics of microtubules and series expansion unknown function method, Stationary multi-wave resonant ensembles in a microtubule, Localized modulated wave solution of diffusive Fitzhugh-Nagumo cardiac networks under magnetic flow effect

Cites Work

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• A nonlinear model of the dynamics of radial dislocations in microtubules
• Nonlinear Schrödinger equation and DNA dynamics
• Molecular dynamics simulations of tubulin structure and calculations of electrostatic properties of microtubules
• High-frequency electric field and radiation characteristics of cellular microtubule network
• Modified extended tanh-function method and nonlinear dynamics of microtubules
• Localized modulated waves in microtubules
• Helicoidal Peyrard–Bishop Model of DNA Dynamics*