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. 2018 Jul 5;12:2051–2069. doi: 10.2147/DDDT.S161940

Table S1.

Mathematical models used to describe drug dissolution curves

Equation Model Description
Qt = In Q0 + KIt First order Qt: amount of drug dissolved in time t, Q0: initial amount of drug in the solution, t: time, Q: amount of drug dissolved in time ∞, and K1, K0, KC, KH, and KK are the rate constants for first order, zero order, Hixson–Crowell, Higuchi matrix, and Korsmeyer–Peppas, respectively
Qt = Q0 + K0t Zero order
Q1/30Q1/3t = KCt Hixson–Crowell
Qt = KHt1/2 Higuchi matrix
Qt/Q = KKtn Korsmeyer–Peppas
Release profiles comparison
ft=j=1n|RjTj|j=1nRj×100 Dissimilarity factor (f1) n: sampling number, Rj and Tj: percentage dissolved of the reference and test products at each time point j
f2=50×log{[1+(1/n)j=1n|RjTj|2]0.5×100} Similarity factor (f2)