Table 1 Description of parameter values involved in the CA-125 dynamics, as given in [25]
Parameter | Description (units) | Baseline value |
|---|---|---|
\(f_{ht}R_{ht}N_{h}\) | Healthy cells shedding influx (U/day) | \(4.56\times 10^{3}\) |
\(f_{t}\) | Fraction of tumour biomarker entering tumour vasculature | 0.1 |
\(R_{t}\) | Biomarker shedding rate per tumour cell (U/day/cell) | \(4.5\times 10^{-5}\) |
\(N_{h}\) | The constant level of healthy cells (which shed the CA-125 biomarker) (cell) | – |
\(k_{gr}\) | Growth rate of tumour cell population (day\(^{-1}\)) | \(5.78\times 10^{-3}\) |
\(k_{et}\) | Elimination rate of tumour biomarker from plasma (day\(^{-1}\)) | 0.11 |
\(c_{CA125}\) | Cut-off limit of CA-125 assay (for healthy vs. disease states), when the biomarker is produced by both tumour and healthy cells (U/ml) | 34.11 |
\(d_{CA125}\) | Detection limit of CA-125 assay (i.e., min concentration of biomarker detectable in plasma), when the biomarker is produced by the tumour cells alone (U/ml) | 1.5 |
\(V_{pl}\) | Mean plasma volume in a 70-year female patient (ml) | 3150 |
\(D_{T}\) | Tumour detection time (day) | To be determined |