Table 1. Release Kinetic Models and Their Corresponding Mathematical Equationsa.
release kinetic model | mathematical equation | remarks |
---|---|---|
Higuchi38 | Mt—amount of drug released at time t | |
M∞—total amount of drug released along the process | ||
Ritger–Peppas39 | kH—Higuchi kinetic constant | |
kP—Ritger-Peppas kinetic constant | ||
n—release exponent | ||
Berens–Hopfenberg40 | ⌀F—fractional diffusion contribution | |
⌀R—fractional chain relaxation contribution | ||
kR = 1/τ | kF—diffusion constant | |
kR— first-order chain relaxation constant | ||
D—diffusion coefficient | ||
d—film thickness | ||
τ—characteristic chain relaxation time |
The value of the release exponent in the Ritger–Peppas model provides information regarding the drug release mechanism: n = 0.5—Fickian, or diffusion-controlled release; 0.5 < n < 1.0—anomalous, or both diffusion- and polymer relaxation-controlled mechanism; n = 1.0—non-Fickian, or relaxation-controlled release.39