DNA 分子的螺旋佩亚诺-毕晓普模型中的定态孤子和扭结解。
Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule.
机构信息
Institut za nuklearne nauke Vinča, Univerzitet u Beogradu, 11001 Beograd, Serbia.
Joint Institute for Nuclear Research, Joliot-Curie 6, 141980 Dubna, Moscow Region, Russia.
出版信息
Chaos. 2019 May;29(5):053118. doi: 10.1063/1.5090962.
We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA-RNA transcription.
我们研究了依赖于螺旋佩亚尔-毕晓普模型的 DNA 分子的非线性动力学。我们寻找行波解，并表明连续体近似会产生沿着链移动的扭结孤子。这一说法得到了相关运动方程数值解的支持。最后，我们认为扭结和局域调制孤子（呼吸子）的存在可能是描述 DNA-RNA 转录的有用工具。
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