For example, RNA metabolism is statistically over-represented among expressed genes (177 genes expressed, out of 250 annotated in the genome), but most of these are not differentially expressed in tachyzoites cultivated under constant conditions in vitro, suggesting that RNA metabolic activity is a relatively conserved or steady function.
Comparing with the existing set-based FDI approaches, the advantage of the proposed technique consists in that it combines the advantages of interval observers in the transient-state functioning and the advantages of invariant sets in the steady-state functioning.
Significant relative decreases of 13% of the ejection fraction (EF) and 15% of the fractional shortening (FS) were observed in sham treated animals; respective decreases of 20%and25%5% were measured 4 weeks after acellular patch implantation, whereas a steadied function was observed 4 weeks after MSC-patch implantation (relative decreases of 6% for both EF and FS).
This method can be generally applied to metabolic networks with Michaelis Menten reactions, functioning at steady state.
The steady state function and time-scale function for w are here modified.
The dimensionless steady state functions and time-scale functions are given as x ˜ ∞ ( v ) = x ∞ ( v k v ) and τ ˜ x ( v ) = τ x ( v k v ) / τ x, respectively.
Typically the heart beats at least once every second, with small and large changes in interbeat duration resulting from breathing and the level of physical activity and is not functioning at steady-state.
These semi-classical fixed points can be compared with thequantum steady state Wigner functions for the same set of parameters inFigure 6. Figure 5 Semi-classical steady states of the microwave system for different regionsof the phase diagram.
These semi-classicalfixed points can be compared with the quantum steady state Wigner functions forthe same set of parameters in Figure 7.
The explicit forms of the steady state functions, x ∞ ( V ), and the time-scale functions, τ x ( V ), are given in the Appendix (see Fig. 15 for plots).
