--- res: bibo_abstract: - 'In recent years, several biomolecular systems have been shown to be scale-invariant (SI), i.e. to show the same output dynamics when exposed to geometrically scaled input signals (u → pu, p > 0) after pre-adaptation to accordingly scaled constant inputs. In this article, we show that SI systems-as well as systems invariant with respect to other input transformations-can realize nonlinear differential operators: when excited by inputs obeying functional forms characteristic for a given class of invariant systems, the systems'' outputs converge to constant values directly quantifying the speed of the input.@eng' bibo_authorlist: - foaf_Person: foaf_givenName: Moritz foaf_name: Lang, Moritz foaf_surname: Lang foaf_workInfoHomepage: http://www.librecat.org/personId=29E0800A-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Eduardo foaf_name: Sontag, Eduardo foaf_surname: Sontag bibo_doi: 10.1109/ACC.2016.7526722 bibo_volume: 2016-July dct_date: 2016^xs_gYear dct_language: eng dct_publisher: IEEE@ dct_title: Scale-invariant systems realize nonlinear differential operators@ ...