rZ: A friend of mine wrote a paper with the following Summary:
"An investigation is made of which mass action chemical kinetics systems give rise to monotone or order-preserving flows independent of rate constants. A list of allowable reactions is given, as well as an algorithm for determining when a given chemical mechanism induces an order-preserving flow. Strict monotonicity and partial monotonicity results are also presented."
Another fun read on glycolysis and stoichiometric mechanisms:
Autocatalytic and other general networks for chemical mechanisms, pathways, and cycles: their systematic and topological generation. (English summary)
Applied graph theory and discrete mathematics in chemistry (Saskatoon, SK, 1991).
J. Math. Chem. 12 (1993), no. 1-4, 319--363. :whistle:
The real answer is biology, not chemistry or math. Actual studies are more important that stoichiometric calculations because the parameters (e.g. "rate constants") are not really known - look, for example, at catalysis (and how little we know about rate constants).
"An investigation is made of which mass action chemical kinetics systems give rise to monotone or order-preserving flows independent of rate constants. A list of allowable reactions is given, as well as an algorithm for determining when a given chemical mechanism induces an order-preserving flow. Strict monotonicity and partial monotonicity results are also presented."
Another fun read on glycolysis and stoichiometric mechanisms:
Autocatalytic and other general networks for chemical mechanisms, pathways, and cycles: their systematic and topological generation. (English summary)
Applied graph theory and discrete mathematics in chemistry (Saskatoon, SK, 1991).
J. Math. Chem. 12 (1993), no. 1-4, 319--363. :whistle:
The real answer is biology, not chemistry or math. Actual studies are more important that stoichiometric calculations because the parameters (e.g. "rate constants") are not really known - look, for example, at catalysis (and how little we know about rate constants).
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