For any finite Markov chain, the logarithmic sensitivity of the mean first-passage time to any single rate lies in [-1,1] and the sensitivities sum to -1, yielding a conserved control budget that caps kinetic-proofreading discrimination at the number of checkpoints.
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A Universal Control Budget for First-Passage Kinetics
For any finite Markov chain, the logarithmic sensitivity of the mean first-passage time to any single rate lies in [-1,1] and the sensitivities sum to -1, yielding a conserved control budget that caps kinetic-proofreading discrimination at the number of checkpoints.