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

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

n

1

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