Control of Multistability Through Local Sensitivity Analysis: Application to Cellular Decision-Making Networks

biomolecular systems; Control of networks; stability of nonlinear systems; Biomolecular system; Decisions makings; Eigenvalue and eigenfunctions; Lyapunov's methods; Manifold; Multistability; Multistable; Stability analyze; Stability of nonlinear systems; Control and Systems Engineering; Control and Optimization

Abstract :

[en] Control of multistable dynamics has important applications, from physics to biology, but the complexity of the systems of differential equations used for their modeling often makes this problem intractable from a global perspective. Here, we propose that for a certain class of multistable dynamical systems, including monotone systems, linearized control at the stable and saddle points of the multistable dynamics can lead to predictable global changes in the relative sizes and depths of its basins of attraction. Our parameter control signal is computationally cheap and provides information about the sensitive parameters to be manipulated in an experimental setting.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Moreno-Morton, Rodrigo ; National Autonomous University of Mexico, Faculty of Sciences, Department of Mathematics, Coyoacán, Mexico

Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing ; National Autonomous University of Mexico, Faculty of Sciences, Department of Mathematics, Coyoacán, Mexico

Language :

English

Title :

Control of Multistability Through Local Sensitivity Analysis: Application to Cellular Decision-Making Networks

Publication date :

2023

Journal title :

IEEE Control Systems Letters

eISSN :

2475-1456

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Volume :

Pages :

373 - 378

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx7/7782633/9828546/09817085.pdf?arnumber=9817085

Funders :

UNAM - National Autonomous University of Mexico
CONACYT - Consejo Nacional de Ciencia y Tecnología

Funding text :

DGAPAPAPII

Available on ORBi :

since 27 May 2023

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