A Bayesian-filtering calculation shows the minimum relative error for sensing a fluctuating concentration is about (Dacτ)^-1/4, and a simple biochemical circuit can approach this limit.
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Physical limit to concentration sensing in a changing environment
A Bayesian-filtering calculation shows the minimum relative error for sensing a fluctuating concentration is about (Dacτ)^-1/4, and a simple biochemical circuit can approach this limit.