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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 \({K}_{N}\) [\({\mathrm{day}}^{-1}\)] \(6 \times {10}^{-1}\) \(\alpha\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)] \(7.5 \times {10}^{8}\)
\(c\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(6.41 \times {10}^{-11}\) \({K}_{L}\) [\({\mathrm{day}}^{-1}\)] \(6 \times {10}^{-1}\) \({\alpha }_{1}\) [\(\mathrm{cells}\)] \(1 \times {10}^{3}\)
\({c}_{1}\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)] \(0.2\) \({K}_{C}\) [\({\mathrm{day}}^{-1}\)] \(6 \times {10}^{-1}\) \({\alpha }_{2}\) [\(\mathrm{cells}\)] \(1 \times {10}^{3}\)
\(d\) [\({\mathrm{day}}^{-1}\)] \(2.34\) \(l\) [\(\mathrm{None}\)] \(2.09\) \(\beta\) [\({\mathrm{day}}^{-1}\)] \(1.2 \times {10}^{-2}\)
\(e\) [\({\mathrm{day}}^{-1}\)] \(2.08 \times {10}^{-7}\) \(m\) [\({\mathrm{day}}^{-1}\)] \(2.04 \times {10}^{-1}\) \({\beta }_{1}\) [\(\mathrm{cell }\,{\mathrm{ day}}^{-1}\)] \(0.835\)
\(f\) [\({\mathrm{day}}^{-1}\)] \(4.12 \times { 10}^{-2}\) \(p\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(3.42 \times {10}^{-6}\) \({\beta }_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(5.4\)
\(g\) [\({\mathrm{day}}^{-1}\)] \(1.25 \times {10}^{-2}\) \({p}_{i}\) [\({\mathrm{day}}^{-1}\)] \(1.25 \times {10}^{-1}\) \(\gamma\) [\({\mathrm{day}}^{-1}\)] \(9 \times {10}^{-1}\)
\({g}_{i}\) [\({\mathrm{cell}}^{2}\)] \(2 \times {10}^{7}\) \(q\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(1.42 \times { 10}^{-6}\) \({\mu }_{1}\) [\({\mathrm{day}}^{-1}\)] \(1 \times {10}^{-1}\)
\(h\) [\({\mathrm{cell}}^{2}\)] \(2.02 \times {10}^{7}\) \({r}_{1}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(1.1 \times {10}^{-7}\) \({\mu }_{i}\) [\({\mathrm{day}}^{-1}\)] \(10\)
\(j\) [\({\mathrm{day}}^{-1}\)] \(2.49 \times {10}^{-2}\) \({r}_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(6.5 \times {10}^{-11}\) \({\delta }_{2}\) [\({\mathrm{cell}}^{-1}\,{\mathrm{ day}}^{-1}\)] \(1 \times {10}^{-7}\)