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The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems
Matthew D. Johnston, Florin Avram
https://arxiv.org/abs/2506.01606

The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems
We introduce the boundary reproduction number, adapted from the next generation matrix method, to assess whether an infusion of species will persist or become exhausted in a chemical reaction system. Our main contributions are as follows: (a) we show how the concept of a siphon, prevalent in Petri nets and chemical reaction network theory, identifies sets of species that may become depleted at steady state, analogous to a disease-free boundary steady state; (b) we develop an approach for incorp…

AI's environmental impact can be extremely localized. A Maine bill would limit the amount of electricity data centers can siphon from local power grids.
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