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Table 1 Hypothalamic pituitary adrenocortical (HPA) axis model

From: Transitioning from acute to chronic pain: a simulation study of trajectories of low back pain

\( \frac{d[CRH]}{dt} = k_{stress} \frac{{K_{i}^{n2} }}{{K_{i}^{n2} + [GR]^{n2} - V_{S3} \frac{[CRH]}{{K_{m1} + [CRH]}}}}, \) (1)
\( \frac{d[ACTH]}{dt} = K_{p2} [CRH]\frac{{K_{i}^{n2} }}{{K_{i}^{n2} + [GR]^{n2} }} - V_{S4} \frac{[ACTH]}{{K_{m2} + [ACTH]}} - K_{d2} [ACTH], \) (2)
\( \frac{d[CORT]}{dt} = K_{P3} [ACTH] - V_{S5} \frac{[CORT]}{{K_{m3} + [CORT]}} - K_{d3} [CORT], \) (3)
\( \frac{d[GR]}{dt} = K_{b} [CORT]([G_{tot} ] - [GR]) + V_{S2} \frac{{[GR]^{n1} }}{{K1^{n1} + [GR]^{n1} }} - K_{d5} [GR] \) (4)