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Through decomposition of reaction network via Gauss-Jordan column reduction: (a) redundant fast reactions and irrelevant kinetic reactions are removed from the system; (b) fast reactions and slow reactions are decoupled; and (c) species reaction equations are transformed into two sets: equilibrium species mass action equations and kinetic-variable reaction equations.
The affinity for the reaction is strongly controlled by the hydrogen activity, which has a power of 4 in the relevant mass action equations.
Free testosterone was calculated using mass action equations and the concentrations of testosterone and SHBG [ 33].
Both free and bioavailable testosterone concentrations can also be calculated from total testosterone, albumin, and SHBG concentrations using the law of mass action equations.
Particularly, the computational cost increases further when the target model has the significant stiffness that often appears in mass action equations for enzymatic reaction systems.
Again, the aspartate-family amino acid biosynthesis includes various inhibitions and activations, so that these dynamic behaviors will not be reasonably observed by normal mass action equations.
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In an equilibrium state, A r = 0 for metastability reactions and Eqn. (M8) reduces to the logarithmic analog of the law of mass action equation for Reaction M2.
Non-SHBG-bound T levels were calculated by using the mass action equation as described by Södergård et al. [ 14].
Active auxin transport The rate of active transport via the PIN1 proteins (PIN, concentration of PIN1 proteins, that measured in cu) is described by the following mass action equation: (4) where K 0 is the constant of active transport rate.
The rate of PKA activation is decreased by Krh, and the rate of PKA deactivation is increased by Krh: (13) The formation of the G protein complex was modeled with the following mass action equation: (14) We tested Simplified cAMP Model B to see if it could reproduce the results from studies on adenylate cyclase mutants by Peeters et al. [ 7].
Subsystem 5: auxin active transport mediated by PIN transporters The rate of active transport from one cell to another is described by the following mass action equation: (5) where [ PIN] denotes concentration of the corresponding transporter (PIN1, PIN2, PIN3) and K0,PIN are the constants of active transport rate via the corresponding PIN (K0,PIN1 for PIN1 and K0,PIN3 for PIN3).
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