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. 2012 Feb 16;8(2):e1002379. doi: 10.1371/journal.pcbi.1002379

Figure 7. Sensitivity Indices (SI) for the optimal set of parameters.

Figure 7

Sensitivity analysis shows that the sensitivity of cortisol with respect to KInline graphic for depressed subjects is much higher than for normal subjects, while for PTSD is much lower. This difference is due to the difference in the sensitivity of the HPA axis for normal, depressed, and PTSD subjects. On the other hand, hardly any difference in the sensitivity to kInline graphic is seen. No sensitivity to the Hill coefficient nInline graphic is observed, which is the homodimerization of GR receptor, indicating that the circadian oscillations are due to the other Hill coefficient nInline graphic, that determines the nonlinearity and robustness of the oscillations. The most sensitive parameter is the total glucocorticoid receptor, which plays a strong role in cortisol feedback regulation. This is in tandem with the hypothesis. The insensitive parameters VInline graphic, KInline graphic, are the enzymatic degradation of the cortisol, while KInline graphic is the autonomous/dilution rate of the CRH. This indicates that in the model cortisol enzymatic degradation is not necessary, because of the strong binding rates (kInline graphic highly sensitive) of the GR receptors and, the autonomous degradation kInline graphic (again highly sensitive), that removes the cortisol much more efficiently than the enzymatic degradation.