Table 4 The equations and parameters of the PD modules
From: A quantitative systems pharmacology (QSP) model for Pneumocystis treatment in mice
trophic Form | ||
\( \frac{\boldsymbol{dTro}}{\boldsymbol{dt}}={\boldsymbol{K}}_{\boldsymbol{sTro}}\ast \boldsymbol{Tro}-{\boldsymbol{K}}_{\boldsymbol{dTro}}\ast \boldsymbol{Tro}\ast \boldsymbol{Tro}-{\boldsymbol{K}}_{\boldsymbol{TA}}\ast \boldsymbol{Tro}+{\boldsymbol{K}}_{\boldsymbol{AT}}\ast \boldsymbol{Asci} \) | ||
asci | ||
\( \frac{\boldsymbol{dAsci}}{\boldsymbol{dt}}={\boldsymbol{K}}_{\boldsymbol{TA}}\ast \boldsymbol{Tro}-{\boldsymbol{K}}_{\boldsymbol{AT}}\ast \boldsymbol{Asci}-{\boldsymbol{K}}_{\boldsymbol{dAsci}}\ast \boldsymbol{Asci} \) | ||
Basal Parameter Values | ||
Parameter | Value (unit) | Constraining data |
K sTro | 1 day − 1 | The observed accumulation of total Pneumocystis constrained the time scale, The steady state values of trophic form constrained the KsTro : KdTro ratio. |
K dTro | 1 × 10−7 day − 1 | |
K AT | 0.1 day − 1 | The KTA : KAT ratio was constrained with experimental observations [33] |
K TA | 0.1 day − 1 | |
K dAsci | 2 × 10− 12 day − 1 | Degradation rate of the asci is assumed to be small [44]. |