 Fine-tuned chemotaxis adaptation

For $\dot{m}=r-bm/(K+m)$ with activity $a=fm$, preserving the original output after f changes from one requires $b^{\prime }=fb+(1-f)r$. This relation depends on modification capacities and is generally disrupted by changing enzyme abundance. It differs from output-dependent reverse modification in the Barkai-Leibler model.