Page 229 - Thermodynamics of Biochemical Reactions
P. 229
BasicBiochemData2 229
It is more convenient to use equcalcrx because it takes a stoichiometric number matrix and a vector of the apparent equilib-
rium constants for a set of independent reactions in the system. Note that this program calculates a consevation matrix that is
consistent with the stoichiometric number matrix, and uses it in equcalc. The transposed stoichiometric number matrix nt for
the reactin without H2 0 is given by
nt = {{-1, 1, 1));
The apparent equilibrium constant is given by
calckgrime[glucose6phos+h2o+de == glucose+pi, 7, 0.251
108.375
The equilibrium composition is calculated using
equcalcrx[nt, {Log[108.4]), {O.l, 0, 0)]
{0.0000920811, 0.0999079, 0.0999079)
The equilibrium compostion can be verified by calculating the apparent equilibrium constant with the calculated composition
EA(nt . Log[(9.208/10A5, 9.991/10A2, 9.991/10A2)1)
{108.406}
A single enzyme-catalyzed reaction has been used in this example, but a system of reactions can be handled in the same way.
The advantage of using matrices and vectors in a computer program is that the same program can be used for large systems
of reactions.
Endpackage [ ] ;