For example, in Fig. 4 an initial perturbation of size 10−5 is increased to an error of approximately (0.04=4~%).
In a perturbation time series dataset, an initial perturbation is performed at time 0, which sets the expression levels of each gene to a certain level.
In (c), the spatio-temporal development of an initial perturbation of cortical homeostasis, for example a massive localized increase in the extracellular potassium concentration, is similar to the development caused by mere passive diffusion.
Relying on diffusion, these systems are capable of producing spatially heterogeneous patterns of somewhat antagonistic reactions initiated by an initial small perturbation.
Hence, we realize that the perturbation remains bounded by its initial perturbation unconditionally at any time level.
As in previous studies (Massimini et al., 2005, 2010; Ferrarelli et al., 2010), in order to probe the ability of distributed thalamocortical modules to interact, we stimulated a subset of cortical neurons with TMS and performed EEG source modelling to detect, on a millisecond time-scale, the chain of effects triggered in the rest of the brain by this initial perturbation.
This concurred with a similar study which found that shear stress was autoregulated after initial perturbation by an arteriovenous fistula (Kamiya and Togawa 1980).
The fluctuations in a self-organizing process influenced the system by means of the initiation of the initial perturbation, which is necessary for the beginning of the amplification loop.
The initial perturbation was observed to travel a long distance with a high propagation velocity.
The perturbation vector in [11] was generated randomly, while in [14] the initial perturbation vector was selected from a Householder codebook, and the perturbation vector in each transmission was generated by the quasi-Monte Carlo method.
