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Table 1 The equations and parameters of the PK module

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