Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules

doi:10.1088/1674-1056/23/2/020504

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20504-020504.doi: 10.1088/1674-1056/23/2/020504

Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules

Slobodan Zeković^a, Annamalai Muniyappan^b, Slobodan Zdravković^a, Louis Kavitha^{b c}

a Institut za nuklearne nauke Vinča, Laboratorija za atomsku fiziku 040, Univerzitet u Beogradu, Poštanski fah 522, 11001 Beograd, Serbia;
b Department of Physics, Periyar University, Salem-636 011, Tamilnadu, India;
c Center for Nanoscience and Nanotechnology, Periyar University, Salem-636 011, Tamilnadu, India

收稿日期:2013-04-03 修回日期:2013-04-03 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by Serbian Ministry of Education and Sciences (Grant No. Ⅲ45010), UGC, NBHM, India (major research projects), BRNS, India (Young Scientist Research Award), ICTP, Italy (Junior Associateship) and UGC (Rajiv Gandhi National Fellowship).

Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules

Slobodan Zeković^a, Annamalai Muniyappan^b, Slobodan Zdravković^a, Louis Kavitha^{b c}

a Institut za nuklearne nauke Vinča, Laboratorija za atomsku fiziku 040, Univerzitet u Beogradu, Poštanski fah 522, 11001 Beograd, Serbia;
b Department of Physics, Periyar University, Salem-636 011, Tamilnadu, India;
c Center for Nanoscience and Nanotechnology, Periyar University, Salem-636 011, Tamilnadu, India

Received:2013-04-03 Revised:2013-04-03 Online:2013-12-12 Published:2013-12-12
Contact: Slobodan Zdravković E-mail:szdjidji@vinca.rs
About author:05.45.Yv; 87.10.Ed; 87.15.-v
Supported by:
Project supported by Serbian Ministry of Education and Sciences (Grant No. Ⅲ45010), UGC, NBHM, India (major research projects), BRNS, India (Young Scientist Research Award), ICTP, Italy (Junior Associateship) and UGC (Rajiv Gandhi National Fellowship).

摘要/Abstract

摘要： We show how Jacobian elliptic functions (JEFs) can be used to solve ordinary differential equations (ODEs) describing the nonlinear dynamics of microtubules (MTs). We demonstrate that only one of the JEFs can be used while the remaining two do not represent the solutions of the crucial differential equation. We show that a kink-type soliton moves along MTs. Besides this solution, we also discuss a few more solutions that may or may not have physical meanings. Finally, we show what kind of ODE can be solved by using JEFs.

关键词: Jacobian elliptic functions, ordinary differential equations, microtubules, kink soliton

Abstract: We show how Jacobian elliptic functions (JEFs) can be used to solve ordinary differential equations (ODEs) describing the nonlinear dynamics of microtubules (MTs). We demonstrate that only one of the JEFs can be used while the remaining two do not represent the solutions of the crucial differential equation. We show that a kink-type soliton moves along MTs. Besides this solution, we also discuss a few more solutions that may or may not have physical meanings. Finally, we show what kind of ODE can be solved by using JEFs.

Key words: Jacobian elliptic functions, ordinary differential equations, microtubules, kink soliton

中图分类号: (Solitons)

05.45.Yv

87.10.Ed (Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models) 87.15.-v (Biomolecules: structure and physical properties)

Slobodan Zeković, Annamalai Muniyappan, Slobodan Zdravković, Louis Kavitha. Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules[J]. 中国物理B, 2014, 23(2): 20504-020504.

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Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules

Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules

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