Optimal affinity of autocatalytic networks beyond gross stoichiometry
An explicit reversible autocatalytic network has a unique global maximum of controlled production whose affinity exponential is strictly below its gross stoichiometric seed ratio. This refutes the proposed general lower bound. We identify a response-profile capacity that retains the missing kinetic information, analyze a literal recycling family approaching the source boundary and give a zero-diagonal counterexample. Under the stated rooted accessibility and response hypotheses, a local mass-action realization theorem makes the capacity sharp; an explicit power family supplies global maxima,…
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