Table 2 The kinetic evaluation of the bare and optimally modified membranes in four mathematical models.

From: Designing of a new transdermal antibiotic delivery polymeric membrane modified by functionalized SBA-15 mesoporous filler

 

Zero-order

First order

Higuchi

Korsmeyer–Peppas

Equation

Qt = Q0 + K0t

log Qt = logQ0 − Kt/2.303

Q = KH × t1/2

log (Mt/M) = logk + nlogt

M1

K0 = 28.476

R2 = 0.7064

K1 =  − 0.2143

R2 = 0.375

KH = 83.762

R2 = 0.9253

KR = 76.24

n = 0.66

R2 = 0.6669

M3

K0 = 26.607

R2 = 0.973

K1 =  − 0.3823

R2 = 0.9204

KH = 67.505

R2 = 0.9482

KR = 8.8

n = 36.04

R2 = 0.8918

M6

K0 = 49.375

R2 = 0.9966

K1 =  − 0.3698

R2 = 0.8168

KH = 120.85

R2 = 0.9038

KR = 8.8

n = 36.04

R2 = 0.9458

  1. M1: 17% polyethersulfone and 2% polyvinylpyrrolidone, M3: 17% polyethersulfone, 2% polyvinylpyrrolidone and 1% SBA-15, and M6: 17% polyethersulfone, 2% polyvinylpyrrolidone, and 0.5% SBA-15 modified by glutamine.