As the SMC is designed from a reduced order model, FOPDT, and its tuning parameters depends on the characteristic parameters of the process ([K.sub.0], [t.sub.0], [tau]], thus, it is necessaiy to apply the reaction curve
The process reaction curve
can be obtained by giving a sudden step change in the manipulated variable.
Reactions were carried out no more than 5% conversion and the initial rate was determined as the slope of the reaction curve
tangent to the initial stage of the reaction and expressed as mol of products [h.sup.-1] [L.sup.-1].
demonstrating the evolution of the SPR band at [[lambda].sub.max] as a function of time (d).
This last equilibrium and the unstable one ([K.sub.1], [x.sup.*.sub.2,a]) [epsilon] [[OMEGA].sub.5] [intersection] D are associated with the intersection of the reaction curve
02 with the straight line [x.sub.1] = [K.sub.1] (see Figure 1(b)).
For analysis of the reaction rate, a slope of the reaction curve
corresponding to the particular oxidation process is described by average pressure changes in time [bar/ms]-for details see .
Examining the ILEC reaction curve
first we see that the coefficient on CLEC Lines in the ILEC Lines response function is -0.6, which indicates that for an expansion of 10 CLEC lines, the ILEC will lose six.
Bayer must first test the material formulation in free-rise mode to determine the reaction curve
(temperature and viscosity rise).
By risk, we mean that players face higher negative payoffs for being outside the reaction curve
. The table 1 game sheet shows the row and column players' payoffs.
Horowitz and Metzger defined a reference temperature at the point of inflexion of the reaction curve
and changed the variable T to [theta] using [theta] = T - [T.sub.m].
Before the assay, pooled serum and BAL samples were tested to determine appropriate dilution factors for the linear range of the reaction curve
. For the assay, 96-well polystyrene plates (Costar, Cambridge, MA) were coated overnight with 17.6 [micro]g semipurified HDM/mL of 0.05 M carbonate buffer (pH 9.6) at 4 [degress] C.
This suggests that the Kevlar fibers have a catalytic effect on the reaction since the maximum of the reaction rate and in general the whole DSC trace is shifted towards much shorter reaction times, as happens with the extent of reaction curve
. The reinforced formulations reached higher extents of reaction than the neat formulations at the same curing time, although the final extent of reaction is very similar in both cases.