Analysis of Controlled Biological Switches via Stochastic Motion Planning
| Author(s): P. Mohajerin Esfahani, A. Milias, D. Chatterjee |
Conference/Journal: European Control Conference (ECC), Zurich, Switzerland |
| Abstract: We consider the problem of regulating a genetic toggle switch by means of an in silico feedback control loop. To achieve this, we first introduce two basic notions of motion planning, and then establish a connection to a class of stochastic optimal control problems concerned with sequential stopping-times. To characterize the desired set of initial conditions, in the context of controlled diffusion processes, we propose a sequence of partial differential equations for which the first one has a known boundary condition, while the boundary conditions of the subsequent ones are determined by the solutions to the preceding steps. We then formulate the control of a bistable system as stochastic motion planning problem, and derive the closed-loop control law that maintains the system inside a prespecified region of its state space. Finally, to provide an autonomous feedback policy, we establish a connection to an eigenvalue problem that describes the asymptotic exit-time of the diffusion process. | Year: 2013 |
| Type of Publication: (01)Article | |
| Supervisor: | |
% Autogenerated BibTeX entry
@InProceedings { EsfMil:2013:IFA_4382,
author={P. Mohajerin Esfahani and A. Milias and D. Chatterjee},
title={{Analysis of Controlled Biological Switches via Stochastic
Motion Planning}},
booktitle={European Control Conference (ECC)},
pages={},
year={2013},
address={Zurich, Switzerland},
month=jul,
url={https://old.control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4382}
} | |