Table 1 Mathematical models of dissolution kinetics.

From: A new biocompatible COF-MCM nanoporous hybrid DDS for pH-controlled delivery of curcumin

Kinetic model

Equation

Plot

Zero-order

Qt = Q0 + k0t

Cumulative drug release vs. time

First-order

ln Qt = ln Q0 + k1t

Ln (% cumulative drug remaining) vs. time

Higuchi

Qt = kH × t1/2

Cumulative drug release vs. SQRT (time)

Hixson-Crowell

W01/3 – Wt1/3 = kHC × t

Cube root of (% drug remaining) vs. time

Korsmeyer-Peppas

Mt / M∞ = kK × tn

log (% cumulative drug release) vs. log (time)

  1. Qt and Mt: Amount of drug released at time t, Q0: Initial amount of drug in DDS, Mt / M∞: Fraction of drug released at time t, k0; k1; kH; kHC; kK: Are release rate constants, n: The release rate exponent, t: Time in hours.
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