Signatures of nonlinearity in single cell noise-induced oscillations
02.07.2013
Thomas P, Straube AV, Timmer J, Fleck C, Grima R.
J Theor Biol. 2013;335C:222-234.
A class of theoretical models seeks to explain rhythmic single cell data by postulating that they are generated by intrinsic noise in biochemical systems whose deterministic models exhibit only damped oscillations. The main features of such noise-induced oscillations are quantified by the power spectrum which measures the dependence of the oscillatory signal's power with frequency. In this paper we derive an approximate closed-form expression for the power spectrum of any monostable biochemical system close to a Hopf bifurcation,where noise-induced oscillations are most pronounced.
