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Table 1 Values of patient’s data

From: Parameter estimation and sensitivity analysis for a model of tumor–immune interaction in the presence of immunotherapy and chemotherapy

Parameter [Unit]

Value

Parameter [Unit]

Value

Parameter [Unit]

Value

\(a\) [\({\mathrm{day}}^{-1}\)]

Estimated

\(k\) [\({\mathrm{cell}}^{2}\)]

\(3.66 \times {10}^{7}\)

\(s\) [\(\mathrm{None}\)]

\(8.39 \times {10}^{-2}\)

\({a}_{1}\) [\(\mathrm{cells}\)]

\(1 \times {10}^{5}\)

\({K}_{T}\) [\({\mathrm{day}}^{-1}\)]

\(9 \times {10}^{-1}\)

\(u\) [\({\mathrm{cell}}^{-2}\,{\mathrm{ day}}^{-1}\)]

\(3 \times {10}^{-10}\)

\(b\) [\({\mathrm{cell}}^{-1}\)]

Estimated

\({K}_{N}\) [\({\mathrm{day}}^{-1}\)]

\(6 \times {10}^{-1}\)

\(\alpha\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)]

\(7.5 \times {10}^{8}\)

\(c\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(6.41 \times {10}^{-11}\)

\({K}_{L}\) [\({\mathrm{day}}^{-1}\)]

\(6 \times {10}^{-1}\)

\({\alpha }_{1}\) [\(\mathrm{cells}\)]

\(1 \times {10}^{3}\)

\({c}_{1}\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)]

\(0.2\)

\({K}_{C}\) [\({\mathrm{day}}^{-1}\)]

\(6 \times {10}^{-1}\)

\({\alpha }_{2}\) [\(\mathrm{cells}\)]

\(1 \times {10}^{3}\)

\(d\) [\({\mathrm{day}}^{-1}\)]

\(2.34\)

\(l\) [\(\mathrm{None}\)]

\(2.09\)

\(\beta\) [\({\mathrm{day}}^{-1}\)]

\(1.2 \times {10}^{-2}\)

\(e\) [\({\mathrm{day}}^{-1}\)]

\(2.08 \times {10}^{-7}\)

\(m\) [\({\mathrm{day}}^{-1}\)]

\(2.04 \times {10}^{-1}\)

\({\beta }_{1}\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)]

\(0.835\)

\(f\) [\({\mathrm{day}}^{-1}\)]

\(4.12 \times { 10}^{-2}\)

\(p\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(3.42 \times {10}^{-6}\)

\({\beta }_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(5.4\)

\(g\) [\({\mathrm{day}}^{-1}\)]

\(1.25 \times {10}^{-2}\)

\({p}_{i}\) [\({\mathrm{day}}^{-1}\)]

\(1.25 \times {10}^{-1}\)

\(\gamma\) [\({\mathrm{day}}^{-1}\)]

\(9 \times {10}^{-1}\)

\({g}_{i}\) [\({\mathrm{cell}}^{2}\)]

\(2 \times {10}^{7}\)

\(q\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(1.42 \times { 10}^{-6}\)

\({\mu }_{1}\) [\({\mathrm{day}}^{-1}\)]

\(1 \times {10}^{-1}\)

\(h\) [\({\mathrm{cell}}^{2}\)]

\(2.02 \times {10}^{7}\)

\({r}_{1}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(1.1 \times {10}^{-7}\)

\({\mu }_{i}\) [\({\mathrm{day}}^{-1}\)]

\(10\)

\(j\) [\({\mathrm{day}}^{-1}\)]

\(2.49 \times {10}^{-2}\)

\({r}_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(6.5 \times {10}^{-11}\)

\({\delta }_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)]

\(1 \times {10}^{-7}\)