Table 1.
Contrast Concentration Versus Time Curves From Vessels and for Muscle ROIs for Eight Selected MRI Experiments
| Case | Bi-exponential fitted vessel curve [a0, m0; a1, m1] | EMM fitted muscle curve [A, q, α, β, γ] | Ktrans (min−1) | ve |
|---|---|---|---|---|
| 1 | [0.70, 1.04; 0.26, 0.024] | [0.12, 0.33, 0.94, 0.030, 0.46] | 0.12 | 0.19 |
| 2 | [0.59, 0.53; 0.31, 0.017] | [0.10, 0.32, 0.70, 0.021, 0.18] | 0.05 | 0.15 |
| 3 | [0.57, 0.94; 0.30, 0.030] | [0.13, 0.35, 1.02, 0.021, 0.17] | 0.22 | 0.30 |
| 4 | [1.00, 1.17; 0.31, 0.030] | [0.15, 0.49, 0.98, 0.031, 0.54] | 0.18 | 0.23 |
| 5 | [0.56, 0.67; 0.35, 0.020] | [0.15, 0.40, 1.12, 0.028, 0.59] | 0.11 | 0.18 |
| 6 | [0.90, 1.13; 0.32, 0.034] | [0.15, 0.49, 1.09, 0.037, 0.55] | 0.21 | 0.21 |
| 7 | [0.86, 0.96; 0.36, 0.033] | [0.10, 0.35, 1.02, 0.032, 0.46] | 0.11 | 0.15 |
| 8 | [0.87, 0.83; 0.42, 0.026] | [0.12, 0.33, 0.89, 0.028, 0.36] | 0.08 | 0.14 |
The Bi-exponential fit for the AIF, the EMM parameters for Cm(t), and estimated Ktrans and ve are given for each case. The Bi-exponential function was defined as Ca(t) = a0 · exp(−m0t) + a1 · exp(−m1t), where a0(mM) and m0(min−1) represent the fast component, and a1(mM) and m1(min−1) represent the slow component. The EMM was defined as Cm(t) = A · (1−exp(−αt))q · exp(−βt) · (1 + exp(−γt))/2, where A is in mM, q is unit-Less, and α, β, and γ is in min−1