Systems Biology (Methods in Molecular Biology)

The Gibbs free energy of thekth reaction is written [103]as

ΔGk¼ΔG

L

k ðÞþT;pH;I RT

X

i

vilnci, ð 36 Þ

wherevi,cirepresent the stoichiometric coefficients and concentra-

tions respectively of the involved biomolecules in each reaction and

ΔG

L

k ðÞT;pH;I is the standard Gibbs free energy adjusted taking

into account its dependence of temperature, pH and ionic force

I[104, 105], in the physiological conditions used experimentally

[87]:T¼310.15 K,I¼0.18 M and pH¼7.

To calculate the rectified standard Gibbs free energy (ΔG

L

k )

eq. (37) was used,

ΔG

L

k ðÞT;pH;I ¼

X

n

ΔG

L

n ðÞT;pH;I

ΔG

L

n ðÞT;pH;I ¼

T

298 : 15

ΔGnθþ 1 

T

298 : 15



ΔHθ

þðÞNHRTln10pH

RTαz^2 NH

ffiffiffi

I

p

1 þ 1 : 6

ffiffiffi

I

p

ð 37 Þ

whereαis the Debye-H€uckel constantα¼ 1 : (^20078) molkg
^1 = 2
,zis the
specie charge,Ris the universal gases constant 8.31 J/(mol K),
andNHis the average number of hydrogen atoms bond to the
specie.
The metabolic models of cancer glycolysis used for the studies
were previously reported [87] for HeLa tumor cell under condi-
tions of normoxia (95% O 2 ), hypoxia (0.1–0.5% O 2 ), and AS-30D
cells (rat hepatoma). Figure7 shows the results of total entropy
Fig. 7Total entropy production rate [J/K min]10^3 for AS-30D and HeLa cell in
normoxic and hypoxic conditions
Parameters Estimation in Phase-Space Landscape Reconstruction of Cell Fate... 149