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For considering both situations under small and large disturbances, this paper proposed a quantitative index (QI), in which disturbance range index (RI) and convergence speed index (SI) were integrated, considering both capability of resistance to disturbances and speed to return to steady state point.
The model should, therefore, allow this return to steady state intrinsically.
However, a larger inertia would no longer be required when frequency starts to return to steady state.
Then, given a choice of (alpha) that satisfies (alpha ^2phi ^2theta ^2 < 1), it follows that as (j rightarrow infty), (u^{(j+1)} - u^{(j)} rightarrow 0) and the network will again return to steady state operation.
Therefore, this strong down-regulation does not appear to be not a return to steady state levels over this short time course.
Using the mouse model of intrapulmonary bleomycin administration, CD45+ Col1+ CXCR4+ fibrocytes were found to increase in the peripheral blood of animals challenged with intrapulmonary bleomycin as compared to saline, and then return to steady state levels [ 24].
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Effective regulation makes the concentrations return to steady states after being effected by external stimulation.
Yegneswaran et al. (1990) observed similar patterns of CO2 concentrations and determined they were caused by small pressure changes in the bioreactor, but quickly returned to steady state.
Recovery of EGFP-LC3 in the nucleus was visible within 300 s, but still had not returned to steady state values in the stable EGFP-LC3 expressing HeLa cell line (Figure 4C).
That the expression of the potato gene was strongly repressed 4 h after PVY inoculation compared to the mock inoculation and returned to steady state levels at 10 hpi suggests a different mechanism for this ABC transporter in the response to PVY inoculation.
The feedforward model we investigate displays a tradeoff between the sensitivity of the response (its peak response) and its precision (its error in its return to steady-state).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com