Duality in mass-action networks
arXiv:2603.08767
summary
The paper studies mass-action chemical reaction networks and proposes a duality between conserved quantities and internal cycles, introducing maximal invariant polyhedral supports and conjecturing dual relationships with preclusters and siphons.
Abstract
Mass-action networks are special cases of chemical reaction networks. For these systems, we argue that conserved quantities are dual to internal cycles. We introduce maximal invariant polyhedral supports, and we conjecture that there is a duality relation between preclusters and maximal invariant polyhedral supports. Given the close relation between maximal invariant polyhedral supports and siphons, we also conjecture that siphons and preclusters are dual objects.
Topics & keywords
#mass-action kinetics#chemical reaction networks#duality#invariant polyhedral supports#siphons#preclustersconserved quantitiesinternal cyclesmaximal invariant polyhedral supportsiphonpreclusterdual relation