KEVERSAL BY DESTRUCTION OF INHIBITOR 



639 



any particular level of inhibition, the rate of fall will be the same. The 

 slope at f = may be obtained by differentiating Eq. 13-60: 



A-io(l - io) 



(13-61) 



Differentiating this again and setting it equal to zero, it is found that the 

 maximal slope, or decrease in inhibition, will occur when i = 0.5. 



TIME 



Fig. 13-13. Time courses of inhibition assuming a spontaneous monomolecular de- 

 struction of the inhibitor (Eq. 13-60). The different curves represent various initial 

 inhibitions, k = 0.1. Curve A: („ = 0.95; curve B: ig = 0.90; curve C: ig = 0.67; curve 

 D: ig = 0.50; curve E: i^ = 0.20. 



When the rates of dissociation and destruction are comparable, it is 

 more difficult to express the decline of the inhibition, since there are now 

 two simultaneous equations, one giving the change in the inhibition due 

 to the dissociation of the EI complex: 



di 

 dt 



K, 



(1 - Dd) - k. 



(13-62) 



