# Analysis and control of genetic toggle switches subject to periodic multi-input stimulation

arXiv: https://arxiv.org/abs/1806.02171 · HTML: https://mlsanity.com/paper/1806.02171/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Jun 2018.

## Built on by (most cited first, 2 of 2)

- [External control of a genetic toggle switch via Reinforcement Learning](https://mlsanity.com/paper/2204.04972/) (2022)
- [Identifying the Attractors of Gene Regulatory Networks from Expression Data under Uncertainty: An Interpretable Approach](https://mlsanity.com/paper/2403.11015/) (2024)

## Abstract (arXiv)

In this letter, we analyze a genetic toggle switch recently studied in the literature where the expression of two repressor proteins can be tuned by controlling two different inputs, namely the concentration of two inducer molecules in the growth medium of the cells. Specifically, we investigate the dynamics of this system when subject to pulse-width modulated (PWM) input. We provide an analytical model that captures qualitatively the experimental observations reported in the literature and approximates its asymptotic behavior. We also discuss the effect that the system parameters have on the prediction accuracy of the model. Moreover, we propose a possible external control strategy to regulate the mean value of the fluorescence of the reporter proteins when the cells are subject to such periodic forcing.