We apply the proposed shifted Legendre-Gauss collocation method at t = 1 to (24).
The (liquid + liquid) equilibria of both systems were determined with a tie-line method at T = (283.15, 298.15 and 313.15) K under atmospheric pressure.
Table 1 lists the maximum errors of the proposed method between the exact solution and the numerical solution for problem (15) at (T=1). Figure 1 shows the behavior of the exact solution and the numerical solution of the proposed method at (t = 0, t = 0.5, t = 1) for problem (15), respectively.
Similarly, the recall of method at threshold t, rc(t), can be computed by (7) rc (t ) = 1 | S | ∑ x ∈ S | K (x ) ∩ P t (x ) | | K (x ) |.
In this retrospective study we evaluated both methods at 3 T and compared the diagnostic yield and rate of complications to determine the optimal biopsy technique at 3 T.
Given a target protein x and K x) which is a set of known (true) annotations of x, the precision of the method at threshold t ∈ [0,1], pr(t), can be calculated as (6) pr (t ) = 1 m (t ) ∑ x ∈ S | K (x ) ∩ P t (x ) | | P t (x ) |.
Open image in new window Fig. 8 Histogram and box plots of estimated capacity by maximum (a), Van Aerde (b), and breakdown (c) Methods at San Diego Test Site.
The absolute difference between the values of the conservative constants obtained by the present method at times t = 0 and t = 45 are Δ I 1 = 2.6 × 10 − 1, Δ I 2 = 3.4 × 10 − 1, Δ I 3 = 3.4 × 10 − 3, respectively.
Preliminary animal study results at our institution also indicate that in-vivo MR thermometry with the PRF method at 1.5 T during simultaneous RFA is feasible.
The PRF method at 1.5 T is promising, and provided that the susceptibility map remains constant, fat saturation is robust, and respiratory motion is accounted for, can give a real quantitative measure of the temperature increments at each pixel with high spatial and temporal resolution.
