Table 5

Nonlinear fits of β-E release from elemene injection and PEGylated liposomes

Equation typeElemene injectionPEG-Lipo-β-E
EquationR2EquationR2
Zero-order model, F = K0 * tF = 3.150 * t0.3520F = 2.289 * t0.6869
First-order model, F = 100 * (1 – ek1*t)F = 100 * (1 – e−0.101*t)0.9375F = 100 * (1 – e−0.042*t)0.9301
Higuchi model, F = KH * t0.5F = 16.839 * t0.50.8838F = 11.913 * t0.50.9836
Weibull model,
0.9511
0.9909

F, the fraction (%) of drug released in time t; K0, K1 and KH, the zero-order, first-order, and Higuchi release constant, respectively; α, the scale parameter which defines the time scale of the process; β, the shape parameter which characterizes the curve as either exponential (β = 1; case 1), sigmoid, S-shaped, with upward curvature followed by a turning point (β > 1; case 2), or parabolic, with a higher initial slope and after that consistent with the exponential (β < 1; case 3).