Confidence corridors

Figure 9.21 For the absorption model, expected profile (solid line), confidence corridors (mixed and dashed lines for functional and structural heterogeneity, respectively) and profile with the mean coefficient value (dotted line).

From (9.26) and (9.27), we obtain the expected profile and standard deviation. For n0 = 10, A = 1.5h, and p = 2.5, Figure 9.22 shows the expected profile, the confidence corridors computed from the standard deviation, and the profile noP (t, p/A) obtained from (9.31) using the expected value of the random variable H. All these profiles were normalized with respect to the initial condition no. As for the absorption process, we note the difference between the expected profile of the model with a random rate coefficient and the profile of the model with a fixed coefficient evaluated at the mean rate. 

As previously, initial conditions for the compartmental model and the enzymatic reaction were set to tiq = [100 50], and so = 100, eo = 50, and cq = 0, respectively. Figures 9.31 and 9.32 show the deterministic prediction, a typical run, and the average and confidence corridor for 100 runs from the stochastic simulation algorithm for the compartmental system and the enzyme reaction, respectively. Figures 9.33 and 9.34 show the coefficient of variation for the number of particles in compartment 1 and for the substrate particles, respectively. 

Figure 9.31 The deterministic profile (dashed line), typical run (solid line), average (dotted line), and confidence corridor (dashed-dotted line) in compartment 1.

On the basis of regression curves one can determine the content of zirconium phase at which sinters based on hydroxyapatite show zero shrinkage. In the case of HAp + Z1O2 (8%wt. Y2O3) ceramics, a simple extrapolation method enabled determination of Zr02+8%wt. Y2Ch powder content which ensured zero shrinkage at the level of 70.6% wt. Content interval determined from confidence corridor amounts to from 65% to 76% wt. 

Similar considerations were made for HAp + Zt02 (20 %wt. Y2Q3) ceramics and they enabled determination of the amount of addition ZrC>2+20 %wt. Y2Q3 powder that corresponded with zero shrinkage in sinter at the level of 76% wt.. Confidence corridor range for these samples ranged from 70% to 82% wt. 

Fig. 26. Correlation chart with confidence corridor for HAp + Z1O2 (8 %wt. Y2Q3) sinters in 1100-1300C...

Fig. 27. Correlation chart with confidence corridor for H Ap + ZrOz (20 %wt. Y2O3) sinters...

The sharp reality of the corridor hurt. It was a situation so abrupt he was still smiling confidently as Desmond s TIP pistol nozzle was locked directly on his head. Stafford Charlton and Harry Levine almost cannoned into his back as they left the commuter lift the four mercenaries hired to provide overwhelming firepower were considerably more... 

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