Minimality in Reflexive and Stoichiometric Autocatalysis

arXiv:2609.23602 · q-bio.MN, math.CO · Submitted 2026-09-20 · Read on arXiv

q-bio.MN, math.CO

Submitted: 2026-09-20

Updated: 2026-09-20

Comments: 37 Pages: 31 main text and 6 SI. 10 Figures: 4 in main text and 6 in SI

Code: https://github.com/hollyritch/minRAFs

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Core — 74× in this paper · explained in 2 episodes
• Binary Polymer Model — 14× in this paper
• Reflexively Autocatalytic — 11× in this paper
• Catalytic Reaction Systems — 8× in this paper
• Consistency — 2× in this paper · explained in 3 episodes
• International Union of Pure and Applied Chemistry — 2× in this paper
• Reflexively Autocatalytic F-generated Sets — 2× in this paper
• Abundance — 1× in this paper · explained in 1 episode
• Bifurcation Analysis — 1× in this paper · explained in 2 episodes
• Computational Biology — 1× in this paper · explained in 2 episodes
• Cooperation — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Provenance — 1× in this paper · explained in 3 episodes
• Reflexively Autocatalytic and F-generated — 1× in this paper
• School for Embedded and Composite Artificial Intelligence — 1× in this paper

Sources

• BiRNe: Symbolic bifurcation analysis of reaction networks with Python
• Defining Autocatalysis in Chemical Reaction Networks
• Autocatalytic Cores in Reaction Networks with Explicit Catalysis

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