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

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  • Hiroshi Ueno
    Doshisha University 1 Faculty of Life and Medical Sciences, , Kyoto 610-0394, Japan
  • Tatsuaki Tsuruyama
    Kyoto University 2 Department of Diagnostic Pathology, Graduate School of Medicine, , Kyoto 606-8303, Japan
  • Bogdan Nowakowski
    Institute of Physical Chemistry, Polish Academy of Sciences 3 , Kasprzaka 44/52, 01-224 Warsaw, Poland
  • Jerzy Górecki
    Institute of Physical Chemistry, Polish Academy of Sciences 3 , Kasprzaka 44/52, 01-224 Warsaw, Poland
  • Kenichi Yoshikawa
    Doshisha University 1 Faculty of Life and Medical Sciences, , Kyoto 610-0394, Japan

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<jats:p>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.</jats:p>

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