论文部分内容阅读
本文将细胞内环境假定为分数阶牛顿黏弹性体并建立了单位质量的一维线动分子马达的时间非对称分数阶类郎之万棘齿模型,其中的周期势函数是空间对称的,而用于刻画ATP水解反应引起的环境波动的则是无偏的时间非对称类郎之万噪声.然后本文将模型转化为离散映射以便进行计算机模拟.最后本文以Logistic映射所生成的类郎之万噪声为例简单模拟了模型的定向输运行为.各参数情形下的模拟结果均显示:无需势函数的空间对称破缺,时间非对称的类郎之万噪声已足以引起模型的定向输运.负向的输运行为应归因于Logistic映射的两个不稳定不动点的非对称分布.因此,尽管模拟结果同整数阶模型相比并无本质区别,但分数阶模型对于分子马达的噪声整流机理的刻画却无疑更接近实际情况.
In this paper, the intracellular environment is assumed to be a fractional order Newtonian viscoelastic body and a time-asymmetric fractional-banded ratchet tooth model of one-dimensional linear motor with unit mass is established, in which the periodic potential functions are spatially symmetric and Which is used to characterize the environmental fluctuation caused by ATP hydrolysis reaction is an unbiased ten-thousand-hour asymmetric type of Lang Lang.Then this paper converts the model into a discrete map for computer simulation.Finally, The simulation results show that the space symmetry without potential function is broken, and the noise of class Lang Lang asymmetric time is enough to cause the directional transport of the model. Negative transport behavior should be attributed to the asymmetric distribution of two unstable fixed points of Logistic map. Therefore, although there is no essential difference between simulation results and integer order models, the fractional model is more sensitive to molecular motor noise Rectification mechanism is no doubt closer to the actual situation.