During thermal or pH stability study, is it possible to record an increased in activity after incubation at respective temperatures or pH?

For example, incubation of enzyme without substrate to 30 - 95 oC for 2 or more hours and later perform the assay at optimum temp (50 or 60). Now in some instances, some enzymes exhibit improvement in activity, with residual activity been  over 100%. Note that your reference is the highest activity obtained when performing temperature effect on enzyme activity, and that optimum temp is used in assaying post thermal stability study. Is this possible to record such increase in activity after stability test without additives?

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