Chromosome progression and mitotic times behavior are mimicked by an stochastic unstable dynamics

Fernández, Juan Luis Cabrera; Herrera-Almarza, Gioconda C.; Gutiérrez, Diana

doi:10.1016/j.physa.2018.08.139

Cited by 2 publications

(1 citation statement)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the biosystem cannot be simulated only by deterministic dynamics, because noise is inevitable, even a natural and indispensable part of biological systems, having brought a lot of interesting phenomena. For instance, the regulation of noise effect in eukaryotic gene expression [6], stochastic focusing phenomenon [7], the influence of noise in Bacillus subtilis cells [8], the positive roles in plant cells [9], and many other discoveries [5,[10][11][12][13][14][15]. Noise can also have the more counterintuitive effect of generating new stable states that do not exist in the absence of fluctuations, and most of the existing works focus on the two-state transition induced by noise [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Noise-induced quasiperiod and period switching

Jiao

Zhao

et al. 2022

Phys. Rev. E

View full text Add to dashboard Cite

We employ a typical genetic circuit model to explore how noise can influence the dynamic structure. With the increase of a key interactive parameter, the model will deterministically go through two bifurcations and three dynamic structure regions. We find that a new quasi-periodic component, which is not allowed by deterministic dynamics, will be generated by noise inducing in the first two regions, and this quasi-period will be more and more stable along with the noise increasing. Especially, in the second region, the quasi-period will compete with a stable limit cycle and perform a new transient rhythm. Furthermore, we ascertain the entropy production rate () and the heat dissipation rate ( ), and discover a minimal value with elucidating theoretically. In the end, we unveil the mechanism of the quasi-periods forming, and show a practical biological instance. We expect that this work is helpful to solve some biological or ecological problems, such as genetic origin of periodical cicadas and population dynamics with fluctuation.

show abstract