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非线性生物模型孤子动力学的数值模拟：调制不稳定性分析。

Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis.

机构信息

Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Quito, Ecuador.

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan.

出版信息

PLoS One. 2023 Feb 16;18(2):e0281318. doi: 10.1371/journal.pone.0281318. eCollection 2023.

DOI:10.1371/journal.pone.0281318
PMID:36795692
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9934424/
Abstract

This article deals with studying the dynamical behavior of the DNA model proposed by Peyrard and Bishop. The proposed model is investigated using the unified method (UM). Unified method successfully extracts solutions in the form of polynomial and rational functions. The solitary wave solutions and soliton solutions are constructed. An investigation of modulation instability is also presented in this paper. 3D and 2D plots are presented to exhibit the physical behavior of some of the obtained solutions.

摘要

本文研究了 Peyrard 和 Bishop 提出的 DNA 模型的动力学行为。使用统一方法 (UM) 研究了所提出的模型。统一方法成功地提取了多项式和有理函数形式的解。构建了孤波解和孤子解。本文还研究了调制不稳定性。展示了一些获得的解的物理行为的 3D 和 2D 图。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/7cc20b1202d2/pone.0281318.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/636df777a053/pone.0281318.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/3cc6b754613d/pone.0281318.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/e9c5994aab52/pone.0281318.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/7cc20b1202d2/pone.0281318.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/636df777a053/pone.0281318.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/3cc6b754613d/pone.0281318.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/e9c5994aab52/pone.0281318.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b4aa/9934424/7cc20b1202d2/pone.0281318.g004.jpg

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本文引用的文献

1
Statistical mechanics of a nonlinear model for DNA denaturation.DNA变性非线性模型的统计力学
Phys Rev Lett. 1989 Jun 5;62(23):2755-2758. doi: 10.1103/PhysRevLett.62.2755.