中国物理B ›› 2018, Vol. 27 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/27/3/030501

• TOPIC REVIEW—Thermal and thermoelectric properties of nano materials • 上一篇    下一篇

Effects of intrinsic and extrinsic noises on transposons kinetics

Alssadig A M Yousif, Lulu Lu(鹿露露), Mengyan Ge(葛梦炎), Ying Xu(徐莹), Ya Jia(贾亚)   

  1. Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China
  • 收稿日期:2017-09-08 修回日期:2017-11-14 出版日期:2018-03-05 发布日期:2018-03-05
  • 通讯作者: Ya Jia E-mail:jiay@mail.ccnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11775091 and 11474117).

Effects of intrinsic and extrinsic noises on transposons kinetics

Alssadig A M Yousif, Lulu Lu(鹿露露), Mengyan Ge(葛梦炎), Ying Xu(徐莹), Ya Jia(贾亚)   

  1. Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China
  • Received:2017-09-08 Revised:2017-11-14 Online:2018-03-05 Published:2018-03-05
  • Contact: Ya Jia E-mail:jiay@mail.ccnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11775091 and 11474117).

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摘要：

The absolute concentration robustness (ACR) steady state of a biochemical system can protect against changing a large concentration of the system's components. In this paper, a minimal model of autonomous-nonautonomous transposons driven by intrinsic and extrinsic noises is investigated. The effects of intrinsic and extrinsic noises on ACR steady state of the transposons kinetics are studied by numerical simulations. It is found that the predator-prey-like oscillations around the ACR steady state are induced by the intrinsic or extrinsic noises. Comparing with the case of intrinsic noises, the extrinsic noises can inhibit the amplitude of oscillations of transposon kinetics. To characterize the predator-prey-like oscillations, we calculate the probability distributions and the normalized correlation functions of a system in the stability domain. With the increasing of noise intensity, the peak of the probability distribution is shifted from the ACR steady state to the trivial steady state. The normalized autocorrelation and cross-correlation functions indicate that the state of the predator-prey oscillator is transmitted to 50 successive generations at least.

关键词: stability, noises, oscillation, transposon kinetics

Abstract:

The absolute concentration robustness (ACR) steady state of a biochemical system can protect against changing a large concentration of the system's components. In this paper, a minimal model of autonomous-nonautonomous transposons driven by intrinsic and extrinsic noises is investigated. The effects of intrinsic and extrinsic noises on ACR steady state of the transposons kinetics are studied by numerical simulations. It is found that the predator-prey-like oscillations around the ACR steady state are induced by the intrinsic or extrinsic noises. Comparing with the case of intrinsic noises, the extrinsic noises can inhibit the amplitude of oscillations of transposon kinetics. To characterize the predator-prey-like oscillations, we calculate the probability distributions and the normalized correlation functions of a system in the stability domain. With the increasing of noise intensity, the peak of the probability distribution is shifted from the ACR steady state to the trivial steady state. The normalized autocorrelation and cross-correlation functions indicate that the state of the predator-prey oscillator is transmitted to 50 successive generations at least.

Key words: stability, noises, oscillation, transposon kinetics

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
87.17.Aa (Modeling, computer simulation of cell processes) 87.18.Vf (Systems biology)