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Therefore, pushing the energy consumption towards the thermodynamic limit of separation would lead to significant long-term savings in energy cost.
These relations can be used to draw a picture of the parameter space for the case of a piecewise linear V-nullcline F V) (Fig. 7a) which holds in the limit of separation of timescales.
The threshold value for each marker, which was chosen as the limit of separation between the positive and negative groups, is shown in Figure 2. All results obtained for monosomy 1p36 using the qPCR technique were also previously observed using other methods of analyzes (aCGH, FISH, and MLPA).
We observe that, in the limit of separation of timescales (τ/ τ w ≪ 1), the trajectories in the (V, w) phase space are nearly horizontal since dV/ dt ≫ dw/ dt — unless one of the trajectories gets close to the V-nullcline.
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We therefore require radical new designs of chromatographic systems (getting rid of the current need for long connection tubing) to advance the limits of separation power.
Peptides emerge from a column near the lower limit of the separation range.
The upper limit of the separation guard is the duration of the preamble, namely 6.375 s, because this is minimum time between two consecutive trials without resting time.
The same result has also been previously obtained by Paulsson [ 32] by applying the LNA to the full network given by (83) and subsequently taking the limit of timescale separation.
The minimum in the cloud point vs. concentration curve is usually named lower critical solution temperature (LCST), since it denotes the limit of phase separation between polymer and solvent.
The exploitation of potential SLM applications has already proven of significant interest in research areas such as drug extraction, purification processes, microreaction apparatus for synthetic chemistry, concentration of analytes in order to increase the limit of detection, separation of heavy metals/radioactive elements, or leaching of metal ions from ore.
The authors utilize the assumption that in the limit of timescale separation, the diffusion matrix of the full network can be decomposed in block diagonal form as (89) D = D s 0 0 D f, where D f is of order γ−1and γ is a large parameter under timescale separation conditions.
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