Page 226 - Thermodynamics of Biochemical Reactions
P. 226
226 Mathematica Solutions to Probleins
TableForm[nu, TableHeadings + {names3, {"rx 13", "rx 14", "TX 15"}}]
rx 13 rx 14 rx 15
Glc -1 0 0
ATP -1 0 -1
G6P 1 -1 0
ADP 1 0 1
F6P 0 1 -1
F16BP 0 0 1
mkeqm[{-l, -1, 1, 1, 0, 0}, names31
ATP + GlC -> ADP + G6P
nameMatrix[Transpose [nu], names31
{ATP + GlC -> ADP + G6P, G6P -> F6P, ATP + F6P -> ADP + F16BP)
a 9.9 Calculation of standard apparent reduction potentials for half reactions
The standard apparent reduction potential in volts at 298.15 K for a half reaction can be calculated using calcappredpots. As
an example of a half reaction consider NAD,, + 2 e- = NADred :
calcappredpot [eq-, nu-, pHlist-, islist-] : =
Module[{energyl,(*Calculates the standard apparent reduction potential of a half
reaction at specified pHs and ionic strengths for a biochemical half reaction typed in
the form nadox+de==nadred. The names of the reactants call the corresponding
functions of pH and ionic strength. nu is the number of electrons involved. pHlist
and islist can be lists.*)
energy = Solveleq, del ;
-(energy~[l,l,2ll/(nu*96.485)) /. pH -> pHlist /.
is -> islist]
TableForm[Transpose[calcappredpot[nadox+de == nadred, 2, {5, 6, 7, 8, 9), {0, 0.1, 0.25)]],
TableHeadings + { { "I=O MI', "I=O. 10 MI', "I=O. 25 M" } ,
["pH 5", I'pH 6", "pH 7", "pH El1, "pH 9"}}, TableSpacing-, {I, l}]
PH 5 PH 6 PH 7 PH 8 PH 9
1=0 M -0.265275 -0.294855 -0.324435 -0.354015 -0.383595
I=0.10 M -0.258932 -0.288512 -0.318092 -0.347672 -0.377252
1~0.25 M -0.256884 -0.286464 -0.316044 -0.345624 -0.375204