Transport memory effects on coupled nonlinear waves in microtubule dynamics

被引：0

作者：

Tankou, Eric ^{[1
,2
]}

Tabi, Conrad Bertrand ^{[3
]}

Mohamadou, Alidou ^{[4
]}

Kofane, Timoleon Crepin ^{[3
,5
]}

机构：

[1] Univ Yaounde I, Fac Sci, Dept Phys, Lab Biophys, POB 812, Yaounde, Cameroon

[2] African Ctr Adv Studies, POB 4477, Yaounde, Cameroon

[3] Botswana Int Univ Sci & Technol, Dept Phys & Astron, Private Mail Bag 16, Palapye, Botswana

[4] Univ Maroua, Natl Adv Sch Engn Maroua, POB 46, Maroua, Cameroon

[5] Univ Yaounde I, Fac Sci, Dept Phys, Lab Mech, POB 812, Yaounde, Cameroon

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 181卷

关键词：

Nonlinear dynamics; Solitons; Noise; Non equilibrium and quantum processes; MODE EXCITATIONS; MODULATED WAVES; ELECTRIC-FIELD; SOLITON; MECHANISM; FREQUENCY; FIBER; EQUATIONS; BREATHER; TUBULIN;

D O I：

10.1016/j.chaos.2024.114717

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper examines how microtubules (MTs) function in their biological environment, focusing on solitonbreather 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 Schr & ouml;dinger 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.

引用

页数：14

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