Topology of the simplest gene switch
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908617631858688 |
|---|---|
| author | Nelson, Aleksandra Wolynes, Peter Tang, Evelyn |
| author_facet | Nelson, Aleksandra Wolynes, Peter Tang, Evelyn |
| contents | Complex gene regulatory networks often display emergent simple behavior. Sometimes this simplicity can be traced to a nearly equivalent energy landscape, but not always. Here, we show how a topological theory for stochastic and biochemical networks can predict phase transitions between dynamical regimes, where the simplest landscape paradigm would fail. We demonstrate the utility of this topological approach for a simple gene network, revealing a new oscillatory regime in addition to previously recognized multimodal stationary phases. We show how local winding numbers predict the steady-state locations in the single-mode and bimodal phases, and a flux analysis predicts the respective strengths of the steady-state peaks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01717 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology of the simplest gene switch Nelson, Aleksandra Wolynes, Peter Tang, Evelyn Biological Physics Mesoscale and Nanoscale Physics Soft Condensed Matter Statistical Mechanics Complex gene regulatory networks often display emergent simple behavior. Sometimes this simplicity can be traced to a nearly equivalent energy landscape, but not always. Here, we show how a topological theory for stochastic and biochemical networks can predict phase transitions between dynamical regimes, where the simplest landscape paradigm would fail. We demonstrate the utility of this topological approach for a simple gene network, revealing a new oscillatory regime in addition to previously recognized multimodal stationary phases. We show how local winding numbers predict the steady-state locations in the single-mode and bimodal phases, and a flux analysis predicts the respective strengths of the steady-state peaks. |
| title | Topology of the simplest gene switch |
| topic | Biological Physics Mesoscale and Nanoscale Physics Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2503.01717 |