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A METABOLIC WASTAGE MODEL FOR THE RATE-YIELD TRADE OFF
There is a growth limiting step in which an intermediate metabolite (m) has to hit a target molecule (t).
The no. of targets hit R = t (1-(1-p)m)
Dm/dt = s-mD-R
where p=probability of 1 mol. hitting a target
D= rate of diffusing out
S= the rate of formation of the metabolite
The equilibrium loss decides the yield.
The no. of activated targets decide the rate