Coupled discrete KdV equations and modular genetic networks
Coupled discrete KdV equations and modular genetic networks
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DOI：
10.1088/1751-8113/48/5/055205
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发表时间：
2015-02
期刊：
影响因子：
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通讯作者：
A. Carstea;T. Tokihiro
中科院分区：
文献类型：
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作者：
A. Carstea;T. Tokihiro
我们提出了一类一般的半离散(微分-差分式)耦合的Korteweg-de Vries方程组的分析。利用双线性Bäacklund变换和Lax对证明了它的可积性。从Hirota双线性形式出发，构造了具有两种不同非线性形式的可积离散(差-差形式)。研究还表明，基因之间存在激活和抑制耦合的模块化遗传网络可以通过这样的系统来建模。
We propose the analysis of a general coupled system of semidiscrete (differential–difference form) Korteweg–de Vries equations. Its integrability is proved using bilinear Bäcklund transformations and Lax pairs. Starting from the Hirota bilinear form, we construct integrable discretizations (in difference–difference form) having two different nonlinear forms. Motivation is also given by showing that a modular genetic network with activation and repression coupling between genes can be modeled by such a system.