Titel
Detailed Balance = Complex Balance + Cycle Balance: A Graph-Theoretic Proof for Reaction Networks and Markov Chains
Badal Joshi
Department of Mathematics, California State University San Marcos
Abstract
We further clarify the relation between detailed-balanced and complex-balanced equilibria of reversible chemical reaction networks. Our results hold for arbitrary kinetics and also for boundary equilibria. Detailed balance, complex balance, “formal balance,” and the new notion of “cycle balance” are all defined in terms of the underlying graph. This fact allows elementary graph-theoretic (non-algebraic) proofs of a previous result (detailed balance = complex balance + formal balance), our main result (detailed balance = complex balance + cycle balance), and a corresponding result in the setting of continuous-time Markov chains.
Stichwort
Chemical reaction networkArbitrary kineticsGraph theoryInduced graphMixed graph
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:1218520
Erschienen in
Titel
Bulletin of Mathematical Biology
Band
82
Ausgabe
9
ISSN
0092-8240
Erscheinungsdatum
2020
Publication
Springer Science and Business Media LLC
Fördergeber
Austrian Science Fund (FWF) — P33218
Erscheinungsdatum
2020
Zugänglichkeit
Rechte
Rechteangabe
© The Author(s) 2020
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