GMWC (Generalized MWC Arrows)

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GMWC[k_cat,n,c,L,K] is an uninstantiated function that encapsulates the parameters used in the Generalized Monod-Wyman-Changeux Model.

The functions MWC and GMWC can be use interchangeabley, however, it is recommended for notebook clarity that MWC be used when the traditional model is used and GMWC be used when the generalized model is used.

There are two canonical forms. The first is used when there is no competitive inhibition

where:

S₁,S₂... are substrates
P₁,P₂... are products
A₁,A₂... are activators
I₁,I₂... are inhibitors

which is interpreted as

The second form is used when there is competitive inhibition

where

CS₁₁,CS₁₂... are competitive inhibitors for S₁
CS₂₁,CS₂₂... are competitive inhibitors for S₂
...
CA₁₁,CA₁₂... are competitive inhibitors for A₁
CA₂₁,CA₂₂... are competitive inhibitors for A₂
...

which is interpreted as

See also: MWC

References:
[1] Monod J, Wyman J, Changeux JP (1965) On the nature of allosteric transitions: A plausible model. Journal of Molecular Biology, 12:88.
[2] Najdi TS, Yang CR, Shapiro BE, Hatfield GW, Mjolsness ED (2006) Application of a generalize MWC model for the mathematical simulation of pathways regulated by allosteric enzymes. Journal of Bioinformatics and Computational Biology, in press.