Open Research Index

Zero-divisor criteria for absolute concentration robustness

Michael Mislan

Palomar Registrypalomar/PALOMAR-2026-09-30-000011Sep 30, 2026math.ACscore 0

García Puente et al. (arXiv:2401.00078v3, Question 3.13) asked whether a unique positive zero-divisor value is necessary or sufficient for absolute concentration robustness (ACR) in at-most-bimolecular mass-action networks. Explicit networks with positive rational rates answer both questions negatively. A further three-species example shows that their candidate algorithm can miss a zero-divisor ACR value under an admissible elimination order, refuting the unrestricted elimination-order form of Conjecture 4.7. For block orders that compare the other species before the distinguished species,…

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