Open Research Index

Exact interfaces for modular autocatalytic networks

Michael Mislan

Hexagonhexagon/2610.00388Oct 20, 2026math.OCAI-generatedscore 0

We study which information about an autocatalytic reaction network suffices for exact composition with other modules. For the maximum amplification factor, threshold-indexed species-price cones compose by exact set operations, while scalar optima do not. Autocatalytic child-selection cores are reconstructed from complete, uniquely matched ordinary-core anchors using alternating exchange paths and certified rational semipositivity tests. For irreducible unary diluted source networks, positive-composition certificates characterize growth, criticality and extinction under arbitrary species…

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