Modeling a population of switches via chaotic dynamics. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Buscarino, A.; Belhamel, L.; Bucolo, M.; Palumbo, P.; Manes, C.
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 16791
• Page End: 16795
• Publication Date: 2020
• Subjects: Mathematical modeling -- Chaotic Systems -- Stochastic Systems -- Synthetic Biology; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1164
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This note investigates the behavior of a population of interconnected irreversible switches, whose switching mechanism is triggered by a chaotic map. Motivation comes from the fact that many emergent properties of biological systems are ruled by the activation of a population of biochemical switches, whose timing and fluctuations may lead to different cell fates. They have been usually investigated according to a stochastic approach, and in this work we show how some properties could be similarly explained in terms of the emergent properties of a chaotic system. With respect to noise, chaos comes out from a deterministic framework, thereby allowing the implementation of experimental procedures directed to investigate the behavior of the system according to different scenarios by means of a rigorous deterministic passage from mathematics to simulation, that cannot be honestly rendered for the stochastic framework, since pseudo-random sequences are usually invoked.