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. 2013 Feb 20;8:737–745. doi: 10.2147/IJN.S40860

Table 1.

Mathematical model of mean cumulative release rate versus time

Release medium pH 7.4 PBS 0.1 mol/L HCl pH 6.8 PBS 0.1 mol/L HCL (2 hours) pH 6.8 PBS (70 hours)
Zero-order kinetic model Q = 0.0422t + 51.752
r = 0.8992
Q = 0.0539t + 49.479
r = 0.8109
Q = 0.0517t + 49.781
r = 0.8320
Q = 0.0939t + 493495
r = 0.7541
First-order kinetic model ln(1 − Q) = −0.0009t + 3.8764
r = 0.9032
ln(1 − Q) = −0.0011t + 3.9222
r = 0.8193
ln(1 − Q) = −0.0011t + 3.9164
r = 0.8401
ln(1 − Q) = −0.0019t + 3.9212
r = 0.7666
Higuchi model Q = 0.4087t1/2 + 51.078
r = 0.9618
Q = 0.5466t1/2 + 48.529
r = 0.9067
Q = 0.4946t1/2 + 48.978
r = 0.8785
Q = 0.9863t1/2 + 47.716
r = 0.8740
Hixcon-Crowell model (100 − Q)1/3 = −0.0011t + 3.6405
r = 0.9019
(100 − Q)1/3 = −0.0013t + 3.6967
r = 0.8166
(100 − Q)1/3 = −0.0013t + 3.6894
r = 0.8374
(100 − Q)1/3 = −0.0023t + 3.6956
r = 0.7625
Ritger-Peppas model ln Q = 0.0126 Int + 3.936
r = 0.9763
(100 − Q)1/3 = 0.0188t + 3.8833
r = 0.9786
(100 − Q)1/3 = 0.0161t + 3.894
r = 0.9086
(100 − Q)1/3 = 0.0347t + 3.865
r = 0.9679
Weibull model lnln[1/(1 − Q)] = 0.0187t − 0.331
r = 0.9722
lnln[1/(1 − Q)] = 0.0272t − 0.4077
r = 0.9795
lnln[1/(1 − Q)] = 0.0234t − 0.3925
r = 0.9081
lnln[1/(1 − Q)] = 0.0504t − 0.4334
r = 0.9702

Note:Q means cumulative pyridostigmine release at time t.

Abbreviation: PBS, phosphate-buffered solution.