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Three kinds of W-potentials in nonlinear biophysics of microtubules

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  • Ranković, Dragana
  • Sivčević, Vladimir
  • Batova, Anna
  • Zdravković, Slobodan

Abstract

In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, relying on the known general model. We introduce the W-potential energy, describing a crucial interaction among constitutive particles within the microtubule. Three kinds of this potential are studied, one symmetrical and two non-symmetrical. We demonstrate an advantage of the latter ones. Solutions of crucial differential equations are solitary waves. The stability of the solutions having physical sense is studied. We show that only subsonic solitary waves are stable, while supersonic ones are not.

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  • Ranković, Dragana & Sivčević, Vladimir & Batova, Anna & Zdravković, Slobodan, 2023. "Three kinds of W-potentials in nonlinear biophysics of microtubules," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002461
    DOI: 10.1016/j.chaos.2023.113345
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    References listed on IDEAS

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    1. Ali, Khalid K. & Cattani, Carlo & Gómez-Aguilar, J.F. & Baleanu, Dumitru & Osman, M.S., 2020. "Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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    5. Zdravković, S. & Zeković, S. & Bugay, A.N. & Petrović, J., 2021. "Two component model of microtubules and continuum approximation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Zdravković, Slobodan & Kavitha, Louis & Satarić, Miljko V. & Zeković, Slobodan & Petrović, Jovana, 2012. "Modified extended tanh-function method and nonlinear dynamics of microtubules," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1378-1386.
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    Cited by:

    1. Kengne, Emmanuel & Lakhssassi, Ahmed & Liu, WuMing, 2024. "Baseband modulational instability and interacting localized mixed waves in coherently coupled optical media," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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