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In their seminal work, Klipp et al. [ 4] showed how sequential gene expression appears in unbranched metabolic networks under the hypothesis of minimum transition time.
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A drop of mineral oil was overlaid and the reaction cycling (on either a MJ research PTC200 or a BioRad C-1000 thermal cycler) involved an initial denaturation step at 94°C for 3 min followed by 30 cycles of 94°C for 1 min, 57°C for 1 min, and 72°C for 1 min using minimum transition times.
Moreover, it is interesting to note from Figure 7 (see the inset) that the minimum value of the mean transition time Tm does not occur at d = 0.
Furthermore, if the set (mathcal{A}_{d}^{W}) defined in Section 5 with (c=1) is nonempty, then it follows from Theorem 5.1 that an optimal pair ((y^, u^)) exists at which the transition time (t_{ y, u)}) attains its minimum.
"This seems like a natural transition time," she said.
Transition time.
Dimensionless transition time.
This was a pivotal transition time.
2. Transition times behavior .
Transition times behavior.
In this paper we propose new tuning rules for PID controllers so that the determined feedback controller can be employed with a properly designed feedforward command input in order to achieve a minimum-time transition from an equilibrium state to another (corresponding to a new desired process variable value) subject to constraints on the control and process variables.
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