Discrimination of time-dependent inflow properties with a cooperative dynamical system

TL;DR

This paper demonstrates that cooperative dynamical systems with sigmoidal responses can be used to distinguish the amplitude or frequency of external periodic inputs, providing a method for system characterization.

Contribution

It introduces a novel approach using cooperative systems to discriminate input properties based on their dynamic responses, supported by numerical simulations.

Findings

Systems exhibit distinct states within specific frequency and amplitude ranges.

Discrimination is observable across various dynamical systems and perturbation types.

The method enables inference of input characteristics from system evolution.

Abstract

Many physical, chemical and biological systems exhibit a cooperative or sigmoidal response with respect to the input. In biochemistry, such behavior is called an allosteric effect. Here we demonstrate that a system with such properties can be used to discriminate the amplitude or frequency of an external periodic perturbation or input. Numerical simulations performed for a model sigmoidal kinetics illustrate that there exists a narrow range of frequencies and amplitudes within which the system evolves toward significantly different states. Therefore, observation of system evolution should provide information about the characteristics of the perturbation. The discrimination properties for periodic perturbation are generic. They can be observed in various dynamical systems and for different types of periodic perturbation. \end{abstract}