title: Discrimination of time-dependent inflow properties with a cooperative dynamical system.
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. 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.
authors.affiliation: Faculty of Life and Medical Sciences, Doshisha University, Kyoto 610-0394, Japan.
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Ueno
authors.affiliation: Department of Diagnostic Pathology, Graduate School of Medicine, Kyoto University, Kyoto 606-8303, Japan.
authors.forename: Tatsuaki
authors.initials: T
authors.lastname: Tsuruyama
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
authors.forename: Bogdan
authors.initials: B
authors.lastname: Nowakowski
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
authors.forename: Jerzy
authors.initials: J
authors.lastname: Górecki
authors.affiliation: Faculty of Life and Medical Sciences, Doshisha University, Kyoto 610-0394, Japan.
authors.forename: Kenichi
authors.initials: K
authors.lastname: Yoshikawa
mesh_terms: D008962:Models, Theoretical