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Table 4 Estimated pharmacodynamic parameters after fitting the radiation and radiosensitizing model to the data of studies 1, 2, and 3

From: Model-based assessment of combination therapies – ranking of radiosensitizing agents in oncology

Parameter

Population Median (RSE%)

Between-subject variabilitya (RSE%)

Description

\({k}_{g}\)[1/day]

0.44 (1.3)

-

Natural growth rate

\({k}_{k}\)[1/day]

0.3 (1.7)

-

Natural kill rate

\(\alpha\)[1/Gy]

0.06 (7)

50 (25)

Linear radiation parameter

\({\gamma }_{1}, {\gamma }_{2}, {\gamma }_{3}\)[1/Gy]

0.027 (11), 0.044 (20), 0.02 (15)

64 (34)

Growth rate inhibition parameter

\({V}_{\mathrm{0,1}}, {V}_{\mathrm{0,2}}, {V}_{\mathrm{0,3}}\)[mm3]

26 (4.3), 44 (4.4), 22 (5)

40 (18)

Initial volume of proliferating cells

\({a}_{Rs1}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.65 (13)

-

Stimulation of short-term effect

\({a}_{Rs2}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.2 (30)

-

 

\({a}_{Rs3}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.14 (32)

-

 

\({b}_{Rs1}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.26 (31)

-

Stimulation of long-term effect

\({b}_{Rs2}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.4 (34)

-

 

\({b}_{Rs3}\)[\(\mathrm{mL}/\mathrm{\mu g}\)]

0.16 (40)

-

 

\({\sigma }_{prop}\)[%]

0.35 (2.2)

-

Proportional error

\({\sigma }_{add}\)[mm3]

4.4 (7.3)

-

Additive error

  1. aCalculated as the square root of the diagonal entries of the population covariance matrix