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Localized modulated waves and longitudinal model of microtubules

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

Abstract

We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi-discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed.

Suggested Citation

  • Zdravković, Slobodan & Zeković, Slobodan & Bugay, Aleksandr N. & Satarić, Miljko V., 2016. "Localized modulated waves and longitudinal model of microtubules," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 248-259.
    • Handle: RePEc:eee:apmaco:v:285:y:2016:i:c:p:248-259
    DOI: 10.1016/j.amc.2016.03.019
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    Cited by:

    1. Kengne, Emmanuel & Lakhssassi, Ahmed, 2023. "Chirped modulated wave excitations in an electrical model of microtubules," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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