336 



7. INHIBITION IN MULTIENZYME SYSTEMS 



under open steady-state conditions by Passynsky (1958) by enclosing the 

 enzyme between two membranes. The substrate diffused in through one 

 membrane and the product diffused out through the other against running 

 water. The total reaction was written as: 



Ao ;:± Aj ;=± P, :^ P^ 



Fig. 7-10. Relationship between the over-all inhibition and the 

 inhibition on Ej in a diffusion-limited monolinear chain. Fj = 1, 

 Ki =- 10 mil/, k = 0.01, and (Ao) = 10 mM. The dashed line simply 

 shows the behavior to be expected if diffusion is not a factor. 



The complete solution for (A^), assuming Fick's law of diffusion and first- 

 order reactions, is given by: 



A:o(A;_i + A-,)(A„) + k^M^o) 



(A,) 



hki + hk-1 + kiki 



Under the experimental conditions, (P^) = 0, and the reaction was es- 

 sentially irreversible, so that k_i — 0. Thus: 



(A,) 



(AJ 



1 + {kM 



