544 



12. RATES OF INHIBITION 



and substitution of the value of i from Eq. 12-11, followed by integration, 

 gives: 



Ut. - h)[{l) + K,] 



(12-18) 



TIME 



Fig. 12-6. Variation of the inhibition rate with time (Eq. 12-13) for the inhibitions 



in Fig. 12-5. 



where i^ is the inhibition at t-^ and i.^ is the inhibition at t.^. When the in- 

 terval begins with the addition of the inhibitor (^^ = i^ = 0) and termi- 

 nates at time t, the average inhibition is: 



k,tm + ^i] 



(12-19) 



where i, is the inhiliition at the end of the interval. It is possible to cal- 

 culate if when the average inhibition, the final inhibition, and the slope 

 of the logarithmic plot are known, since: 



it = at{if - J) (12-20) 



The experimentally determined average inhibition i itself is rather meaning- 



