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. 2017 May 13;9(5):174. doi: 10.3390/polym9050174

Table 3.

First- and second-order kinetic parameters k1 (first-order hydrolysis rate), k2 (second-order hydrolysis rate), h (initial hydrolysis) and R2 of chitosan enzymolysis.

Pepsin
Ratio Sub-Enzyme First-Order
Qt = Qe(1 − exp( − k1t)) *
Second-Order
t/Qt = 1/(k2Qe2) + t/Qe *
k1 (1/min) R2 k2 (L/(g·min)) h (g/(L·min)) R2
0.5% 0.030 0.999 0.00488 4.168 0.992
0.8% 0.039 0.995 0.00484 6.943 0.996
1% 0.036 0.995 0.00483 10.840 0.999
1.2% 0.035 0.996 0.00487 9.226 0.998
1.5% 0.021 0.996 0.00486 9.163 0.998
Chitosanase
Enzyme Concentration First-Order
Qt = Qe(1 − exp( − k1t)) *
Second-Order
t/Qt = 1/(k2Qe2) + t/Qe *
k1 (1/min) R2 k2 (L/(g·min)) H (g/(L·min)) R2
1 U 0.022 0.964 0.0028 7.841 0.961
3 U 0.042 0.994 0.00247 9.157 0.966
5 U 0.042 0.972 0.00508 11.282 0.999
7 U 0.028 0.992 0.00913 6.585 0.989
10 U 0.022 0.964 0.00695 4.560 0.994
α-Amylase
Ratio Sub-Enzyme First-Order
Qt = Qe(1 − exp( − k1t)) *
Second-Order
t/Qt = 1/(k2Qe2) + t/Qe *
k1 (1/min) R2 k2(L/(g·min)) h (g/(L·min)) R2
40 U/g 0.014 0.97851 0.00188 6.218 0.968
60 U/g 0.021 0.98822 0.00137 8.078 0.976
80 U/g 0.026 0.96801 0.00209 9.532 0.990
100 U/g 0.026 0.96857 0.00614 4.812 0.980
120 U/g 0.015 0.97291 0.00826 3.400 0.972

* Qt and Qe are the SRS concentration at t and equilibrium, respectively; k1 and k2 are the rate constants of thefirst-order and second-order models, respectively.