A weakly reversible reaction network is a reaction network in which every reaction has a directed graph path
from
back to
(Boros and Hofbauer 2020). Equivalently, every connected
component of its underlying undirected graph forms
a strongly connected digraph. The condition
permits return paths with several reactions. For example, the cycle
is weakly reversible although it contains
none of the three reverse reactions. The condition alone does not impose identities
between incoming and outgoing fluxes at the complexes.
Weakly Reversible Reaction Network
See also
Directed Graph, Mass-Action System, Reaction Network, Stoichiometric SubspaceExplore with Wolfram|Alpha
References
Boros, B. and Hofbauer, J. "Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class." SIAM J. Appl. Dyn. Syst. 19, 352-365, 2020. https://doi.org/10.1137/19M1248431.Cite this as:
Weisstein, Eric W. "Weakly Reversible Reaction Network." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/WeaklyReversibleReactionNetwork.html