From: A quantitative systems pharmacology (QSP) model for Pneumocystis treatment in mice
Absorptive Compartment | ||||
\( \frac{{\boldsymbol{dDrug}}_{\boldsymbol{AC}}}{\boldsymbol{dt}}=-\boldsymbol{RAP}\ast {\boldsymbol{K}}_{\boldsymbol{abs}}\ast {\boldsymbol{Drug}}_{\boldsymbol{AC}} \) | ||||
Plasma Compartment | ||||
\( \frac{{\boldsymbol{dDrug}}_{\boldsymbol{P}}}{\boldsymbol{dt}}={\boldsymbol{K}}_{\boldsymbol{abs}}\ast {\boldsymbol{Drug}}_{\boldsymbol{AC}}-\left({\boldsymbol{K}}_{\boldsymbol{P}\boldsymbol{T}}+{\boldsymbol{K}}_{\boldsymbol{dP}}\right)\ast {\boldsymbol{Drug}}_{\boldsymbol{P}}+{\boldsymbol{K}}_{\boldsymbol{T}\boldsymbol{P}}\ast {\boldsymbol{Drug}}_{\boldsymbol{T}} \) | ||||
Peripheral Tissue Compartment | ||||
\( \frac{{\boldsymbol{d}\boldsymbol{Drug}}_{\boldsymbol{T}}}{\boldsymbol{d}\boldsymbol{t}}=\boldsymbol{RTP}\ast \left(-{\boldsymbol{K}}_{\boldsymbol{T}\boldsymbol{P}}\ast {\boldsymbol{Drug}}_{\boldsymbol{T}}+{\boldsymbol{K}}_{\boldsymbol{P}\boldsymbol{T}}\ast {\boldsymbol{Drug}}_{\boldsymbol{P}}\right)-{\boldsymbol{K}}_{\boldsymbol{d}}\ast {\boldsymbol{Drug}}_{\boldsymbol{T}} \) | ||||
PK parameters for each drug | ||||
 | anidulafungin | caspofungin | micafungin | TMP/ SMX |
KdP (hr − 1) | 0.035 | 0.18 | 0.06 | 0.2 |
KPT (hr −1) | 1.5 | 5 | 0.6 | 0.17 |
KTP (hr −1) | 5 | 2 | 1.8 | 5 |
RTP (dimensionless) | 0.2 | 1 | 0.4 | 0.01 |
KdT (hr −1) | 0.035 | 0.18 | 0.06 | 0.2 |
RAP (dimensionless) | 3 | 0.1 | 1 | 3 |
Kabs (hr −1) | 5 | 5 | 0.75 | 5 |