. 2013 Jun 24;40(7):072502. doi: 10.1118/1.4810937

Table 1.

Nonlinear parameter definitions for 1K-5K compartment models.

Model	υ₁	υ₂	Constraint
1K	0	0	n/a
2K	k₂	0	0 < υ₁
3K	k₂ + k₃	0	0 < υ₁
4K	$\frac{1}{2} \{(k_{2} + k_{3} + k_{4}) + \sqrt{{(k_{2} + k_{3} + k_{4})}^{2} - 4 k_{2} k_{4}}\}$	$\frac{1}{2} \{(k_{2} + k_{3} + k_{4}) - \sqrt{{(k_{2} + k_{3} + k_{4})}^{2} - 4 k_{2} k_{4}}\}$	0 < υ₂ < υ₁
5K	$\frac{1}{2} \{\begin{matrix} (k_{2} + k_{3} + k_{4} + k_{5}) + \\ \sqrt{{(k_{2} + k_{3} + k_{4} + k_{5})}^{2} - 4 (k_{2} k_{4} + k_{2} k_{5} + k_{3} k_{5})} \end{matrix}\}$	$\frac{1}{2} \{\begin{matrix} (k_{2} + k_{3} + k_{4} + k_{5}) - \\ \sqrt{{(k_{2} + k_{3} + k_{4} + k_{5})}^{2} - 4 (k_{2} k_{4} + k_{2} k_{5} + k_{3} k_{5})} \end{matrix}\}$	0 < υ₂ < υ₁