Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D1L-A
Session:
Number:D1L-A4
Parameter properties of biochemical systems
Ralph L. Stoop, Florian Gomez, Stefan Martignoli, Ruedi Stoop,
pp.652-655
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Systems depending on two or more parameters are investigated for the existence of some emergent properties. As an example, we may ask whether they show a particular periodicity in their dynamics. Traditionally, it is assumed that this happens on a direct product of the intervals where this property is displayed when looking at one parameter alone. This, however, is wrong for realworld systems, the origin of the phenomenon being based in the latter’s nonlinearities. We demonstrate that the emergence of joint properties is generically confined on shrimpshaped domains in the combined parameter space. This entrains difficulties for clustering approaches that are generally based on the Gaussian cartesian product point of view.