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Table 1 Model parameters

From: Predicting response to pembrolizumab in metastatic melanoma by a new personalization algorithm

Model parameter

Definition

Estimated value

Units

Source

\(\alpha_{im}\)

Activation rate of APCs

1.161 × 103 to 2.986 × 103

Cells/day

[27, 28]

\(b\)

Number of tumor cells, required for reaching half of the maximal APC activation rate

3.704 × 104 to 1.476 × 105

Cells

[27,28,29]

\(\mu_{APC}\)

Death rate of APCs

0.2310

Day−1

[30, 31]

\(a_{pem}\)

Maximum effect of pembrolizumab on activation of CD8+ T cells

\(1 \times 10\) to \(1 \times 10^{4}\)

Model simulations

\(\alpha_{eff}\)

Activation rate of naïve antigen-specific CD8+ T cells

0.8318

Day−1

[32]

\(b_{pem}\)

Maximum effect of pembrolizumab on the exhaustion rate of CD8+ T cells

0.9

Model simulations

\(\mu_{eff}\)

Death rate of Effector CD8+ T cells

0.1777

Day−1

[33]

\(\gamma_{mel}\)

Net growth rate of tumor cells

0.003269 to 0.08664

Day−1

[34]

\(\upsilon_{mel}\)

Innate death rate of tumor cells by effector CD8+ T cells

0.1245

Day−1

[35,36,37]

\(g\)

Number of tumor cells, at which the elimination rate reaches half of its maximal value

2.019 × 107 to 1 × 108

Cells

[36, 38]