Page 308 - Thermodynamics of Biochemical Reactions

308 Mathematica Solutions to Problems

TableForm[Trans~ose[calckprime[2*pyruvate+6*atp+2*nadred+6*h2o+de==glucose+6*adp+6*p~+2
*nadox, {5,6,7,8,9), (0, -1,. 25) 11 ,TableHeadings->{ {"I = 0 M", "I = 0.10 M", "I = 0.25
M"},{"pH 511,1tpH 6","pH 7","pH 8","pH 9"))l
PH 5 PH 6 PH 7 PH 8 PH 9
20 16 14 15 17
I=OM 1.05479 10 4.66988 10 2.79825 10 3.91429 10 4.80954 10

16 13 11 13 15
I = 0.10 M 4.26674 10 1.72242 10 9.97467 10 1.70563 10 1.37793 10
15 12 11 12 14
I = 0.25 M 2.78871 10 1.35564 10 1.24448 10 2.46364 10 2.02949 10

TableForm[(1/(8.3145l*.298l5*Log[lO]))*D[(glucose+6*adp+6*~i+2*nadox-2*py~vate-6*atp-2
*nadred-6*h2o),gH]/.is->{O,.l,.25}/.pH->{5,6,7,8,9},TableHeadings-~{{"I = 0 M","I =
0.10 ~11,191 = 0.25 M"},{"pH 511,11pH 611,"pH 7","pH 8","pH 9")>1

PH 5 PH 6 PH 7 PH 8 PH 9
I=OM 3.11986 3.29164 0.531329 -2.07356 -2.04318
I = 0.10 M 3.72487 2.70949 -0.320941 -1.76774 -1.9758
I = 0.25 M 3.16965 2.50822 -0.451703 -1.78866 -1.97804

4.10 Calculate the standard transformed reaction Gibbs energies, apparent equilibrium constants, and changes in the binding
of hydrogen ions for the pyruvate dehydrogenase reaction and the nine reactions of the citric acid cycle at 298.15 K, pHs 5,
6, 7, 8, and 9 and ionic strengths 0, 0.10, and 0.25 M. Also calculate these properties for the net reaction of the citric acid
cycle, the net reaction for pyruvate dehydrogenase plus the citric acid cycle, and the net reaction for glycolysis, pyruvate
dehydrogenase, and the citric acid cycle.

(BasicBiochemData2 must be loaded)

Pyruvate dehydrogenase

TableForm[Transpose[calctrGerxCpyruvate+coA+nadox+h2o+de==co2tot+acetylcoA+nadred, {5,6,
7,8,9),{0, .l, .25)]] ,Tab1eHeadings->{C1*I = 0 Mml,"I = 0.10 ManrmmI = 0.25 M"), {"pH 5","pH
6i1,iipH 71i,ripH 811,11pH 9"))l

PH 5 PH 6 PH 7 PH 8 PH 9
I=OM -23.6334 -24.4065 -27.5641 -32.0578 -34.6066
I = 0.10 M -24.9212 -26.0596 -29.7622 -34.0761 -36.2027
I = 0.25 M -25.3442 -26.6231 -30.4807 -34.7047 -36.7463

TableForm[Transpose[calckprime[~yruvate+coA+nadox+h2o+de==co2tot+acetylcoA+nadred,~5,6,
7,8,9),{0,.1,.25)11,TableHeadings->{{111 = 0 M","I = 0.10 M",lnI = 0.25 M1'),{"pH 5","pH
6ii,m1pH
7","pH 81t,11pH 911))1
PH 5 PH 6 PH 7 PH 8 PH 9
6
I=OM 13815.3 18871.6 67452. 413294. 1.15554 10
6
I = 0.10 M 23226.8 36763.7 163714. 932920. 2.1999 10
6 6
I = 0.25 M 27548. 46145.7 218750. 1.20217 10 2.73926 10

TableForm[(1/(8.3145l*.298l5*Log[lOl))*D[(co2tot+acetylcoA+nadred-pyruvate-coA-nadox-
h2o),pH]/.is->{0,.1,.25)/.pH->(5,6,7,8,9},T~leHeadings->{{"I = 0 M","I = 0.10 M","I =
0.25 M"),{"pH 511,"pH 6","pH 7","pH 8","pH 9")11