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Table 5 Integrating the PK modules and PD modules into QSP models

From: A quantitative systems pharmacology (QSP) model for Pneumocystis treatment in mice

Echinocandin effect on asci death
\( {\boldsymbol{v}}_{\boldsymbol{dAsci}}={\boldsymbol{k}}_{\boldsymbol{dAsci}}+{\boldsymbol{ME}}_{\boldsymbol{Echi}}\ast \frac{{\boldsymbol{Echi}}_{\boldsymbol{pla}}^{\boldsymbol{n}}}{{\boldsymbol{Echi}}_{\boldsymbol{pla}}^{\boldsymbol{n}}+\boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{Echi}}^{\boldsymbol{n}}} \)
Echinocandin effect on asci Formation
\( {\boldsymbol{v}}_{\boldsymbol{TA}}={\boldsymbol{k}}_{\boldsymbol{TA}}\ast \left(\mathbf{1}-\frac{{\boldsymbol{Echi}}_{\boldsymbol{pla}}^{\boldsymbol{n}}}{{\boldsymbol{Echi}}_{\boldsymbol{pla}}^{\boldsymbol{n}}+\boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{Echi}}^{\boldsymbol{n}}}\right) \)
Parameters
Echinocandin family member Ec 50 ME n
Anidulafungin 0.039 μg  ml−1 0.42 1
Caspofungin 0.0007 μg  ml−1 0.45 1
Micafungin 0.04 μg  ml−1 0.1 1
TMP/SMX effect on asci death
\( {\boldsymbol{v}}_{\boldsymbol{dAsci}}={\boldsymbol{k}}_{\boldsymbol{dAsci}}+{\boldsymbol{ME}}_{\boldsymbol{Asci}}\ast \frac{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}}{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}+\boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{SMX}}^{\boldsymbol{n}}} \)
TMP/SMX effect on trophic proliferation
\( {\boldsymbol{v}}_{\boldsymbol{s}\boldsymbol{Tro}}={\boldsymbol{k}}_{\boldsymbol{s}}\ast \left(\mathbf{1}-\frac{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}}{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}+\boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{SMX}}^{\boldsymbol{n}}}\right) \)
TMP/SMX effect on trophic death
\( {\boldsymbol{v}}_{\boldsymbol{dTro}}={\boldsymbol{k}}_{\boldsymbol{dTro}}\ast \left(\mathbf{1}+{\boldsymbol{ME}}_{\boldsymbol{Tro}}\ast \frac{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}}{{\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}}+\boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{SMX}}^{\boldsymbol{n}}}\right) \)
Delay in SMX effect
\( {\boldsymbol{SMX}}_{\boldsymbol{eff}}^{\boldsymbol{n}} \)= \( {\boldsymbol{SMX}}_{\boldsymbol{pla}}^{\boldsymbol{n}}\left(\boldsymbol{t}-\boldsymbol{\tau} \right) \)
Parameters
\( \boldsymbol{Ec}{\mathbf{50}}_{\boldsymbol{SMX}}^{\boldsymbol{n}} \) MEAsci METro n τ
0.2 μgml1 0.75 650 2 7 days