Control of Multistability through Local Sensitivity Analysis: Application to Cellular Decision-making Networks
Optimization and Control
2022-06-08 v2 Dynamical Systems
Molecular Networks
Abstract
Control of multistable dynamical system has important applications, from physics to biology. Here, we attack this problem from the perspective of local sensitivity analysis. We develop sensitivity rules to control properties of continuous-time multistable dynamics with simple attractors, namely, the relative size and depth of their basins of attraction. Our parameter control signal is computationally cheap and provides counter-intuitive information about the sensitive parameters to be manipulated in an experimental setting.
Cite
@article{arxiv.2203.12009,
title = {Control of Multistability through Local Sensitivity Analysis: Application to Cellular Decision-making Networks},
author = {Rodrigo Moreno-Morton and Alessio Franci},
journal= {arXiv preprint arXiv:2203.12009},
year = {2022}
}
Comments
Gave an in-depth discussion of and added references to the theory in Section III. Slight change of structure in Control Strategies. Slight changes to figures and discussion of example systems