Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2106.12918 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910066699927552 |
|---|---|
| author | Wu, Yuxuan Jiao, Yuxing Zhao, Yanzhen Jia, Haojun Xu, Liufang |
| author_facet | Wu, Yuxuan Jiao, Yuxing Zhao, Yanzhen Jia, Haojun Xu, Liufang |
| contents | 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 (EPR) and the heat dissipation rate (HDR), 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_12918 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Noise induced new quasi-period and periods switching Wu, Yuxuan Jiao, Yuxing Zhao, Yanzhen Jia, Haojun Xu, Liufang Biological Physics 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 (EPR) and the heat dissipation rate (HDR), 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. |
| title | Noise induced new quasi-period and periods switching |
| topic | Biological Physics |
| url | https://arxiv.org/abs/2106.12918 |