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. 2020 Oct 16;36(42):12532–12544. doi: 10.1021/acs.langmuir.0c01980

Table 1. Release Kinetic Models and Their Corresponding Mathematical Equationsa.

release kinetic model mathematical equation remarks
Higuchi38 Inline graphic Mt—amount of drug released at time t
    M—total amount of drug released along the process
Ritger–Peppas39 Inline graphic kH—Higuchi kinetic constant
    kP—Ritger-Peppas kinetic constant
    n—release exponent
Berens–Hopfenberg40 Inline graphic F—fractional diffusion contribution
    R—fractional chain relaxation contribution
  kR = 1/τ kF—diffusion constant
    kR— first-order chain relaxation constant
  Inline graphic D—diffusion coefficient
    d—film thickness
    τ—characteristic chain relaxation time
a

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