Eur. Phys. J. Plus (2022) 137: 465
https://doi.org/10.1140/epjp/s13360-022-02689-5

Regular Article

Discrete breathers incited by the intra-dimers parameter in microtubulin protofilament array

¹ Department of Marine Engineering, Limbe Nautical Arts and Fisheries Institute, P.O Box 485, Limbe, Cameroon
² Department of Physics, Faculty of Science, University of Maroua, P.O Box 814, Maroua, Cameroon
³ Department of Basic Science, National Advanced School of Mines and Petroleum Industries, University of Maroua, P.O Box 08, kaélé, Cameroon
⁴ Department of Mathematics, Lafayette College, Easton, Pennsylvania, USA
⁵ Department of Physics, Faculty of Science, University of Ngaoundere, P.O Box 454, Ngaoundere, Cameroon
⁶ Department of Computer Engineering, Biruni University, Istanbul, Turkey
⁷ Science Faculty, Department of Mathematics, Fırat University, 23119, Elazig, Turkey
⁸ Department of Medical Research, China Medical University Hospital, China Medical University Taichung, Taichung, Taiwan

^e minc@firat.edu.tr

Received: 13 January 2022
Accepted: 4 April 2022
Published online: 15 April 2022

Abstract

In this study, we investigate the propagation of discrete breathers under the influence of intra-dimer coupling coefficients. We establish propagation zones of the modulated waves and the modulation instability growth rate is also concerned. To point out the strength of the coupling coefficient of the intra-dimers where negative and positive charges are involved, we numerically show through 2D and 3D the formation of breathers. It is shown for certain values of the intra-dimers coupling coefficient highly breathing in the system which is related to energy transfer between the two sides where cellular division happens. These results have pointed out new behavior of the discrete breathers in microtubules and we assume it will be used in the control of contraction in microtubules.