Enzymes are heat-sensitive, and high temperatures can damage their structure and cause irreversible inactivation [
39,
40]. The thermal stability of an enzyme can typically be improved via encapsulation. In this study, the thermal inactivation of free AMG and AMG@Bi-EA was analyzed and the results are shown in Fig.5. Free AMG and AMG@Bi-EA were incubated at 60, 65, 70, 75, and 80 °C, and enzymatic activity was detected at 10-min intervals. The variation in residual activity with time is shown in Fig.5(a) and 5(b). AMG@Bi-EA exhibited good thermal stability at 60–70 °C. After 1 h of incubation, AMG@Bi-EA retained 76.3%, 68.0% and 60.6% of its original activity; however, the free enzyme retained only 41.1%, 40.1%, and 13.7%, respectively. Both free AMG and AMG@Bi-EA were rapidly inactivated at 75 and 80 °C, respectively. Based on the variation in residual activity with time, the deactivation mechanical parameters and thermodynamic parameters of free AMG and AMG@Bi-EA were calculated using one-step deactivation model simulations (Fig.5(c) and 5(d)) [
41]. The thermal deactivation constant (
kd),
t1/2, and D-values for AMG and AMG@Bi-EA are listed in Tab.2. The
kd of AMG@Bi-EA was much lower than that of free AMG at 60, 65, and 70 °C, and its
t1/2 and D-values increased approximately 3.0-, 2.4- and 4.5-fold, respectively. Furthermore, the inactivation energies of free AMG and AMG@Bi-EA were calculated using the Arrhenius equation (Fig.5(e) and 5(f)). The
Ed of AMG@Bi-EA was calculated to be 189.22 kJ·mol
–1, higher than that of free AMG (134.77 kJ·mol
–1). These results showed that the formation of AMG@Bi-EA could increase the tolerance temperature of AMG to 70 °C, also improved its thermal stability [
42,
43].