For a non-perturbing monitor of diffusing molecules, the optimal unbiased linear estimator weighs only the boundary of the sensing volume, improving concentration precision by 5/6 and gradient precision by 7/10 relative to standard uniform estimators.
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Physical limits to concentration and gradient sensing by perfect monitors
For a non-perturbing monitor of diffusing molecules, the optimal unbiased linear estimator weighs only the boundary of the sensing volume, improving concentration precision by 5/6 and gradient precision by 7/10 relative to standard uniform estimators.