Systems Biology (Methods in Molecular Biology)

When we perform the steady-state stability analysis, we find

that the system evolves from an asymptotically stable state to a

limit cycle in the form of periodic oscillations when we decrease

the glucose concentration from 25 mM down. A similar behavior is

observed at decreasing Pi. When we reach low values of both Glu

and Pi, the system exhibits a series of unstable states that lacks

physical sense.

We can see in Fig.15 the relation between ATP and NADH at

5 mM of Glu and 0.5 mM of Pi.

An interesting fact is that the oscillations period observed

(2–4 days) is close to the values experimentally found by Potter

[148] in rat hepatoma (six diploids and another three rat

Fig. 13Variation of LZ complexity with glucose concentration (2.5; 5 and 25 mM)

Fig. 14Variation of LZ complexity with inorganic phosphate concentration (0.5;

1 and 2 mM)

Parameters Estimation in Phase-Space Landscape Reconstruction of Cell Fate... 161