Before revision:  We find that the biochemical network does not achieve thermodynamic limits of efficiency. A key consequence is that biochemical networks face a tradeoff between the energy dissipated for a measurement and the accuracy of the measurement that is more severe than and qualitatively distinct from the tradeoff required thermodynamically .
After revision:  We find that regardless of the network parameters, the biochemical network can never reach the thermodynamic limit of efficiency, and faces a tradeoff between the energy dissipated for a measurement and the accuracy of the measurement that is more severe than and qualitatively distinct from the tradeoff required thermodynamically .