Quantitative identification of tumor-growth model parameters

Determine the quantitative values of the avascular tumor-growth model parameters by fitting them to experimental data, thereby enabling quantitative predictions.

Background

The specialized avascular tumor model uses numerous nondimensional parameters, including mechanical moduli, phenotype-transition rates, oxygen-consumption coefficients, transport mobilities, growth coefficients, and critical oxygen concentrations. In the presented simulations, these values are selected as representative rather than calibrated against a particular experimental dataset.

The unresolved task is to perform systematic quantitative parameter identification using experimental observations. Such calibration is needed to move from qualitative or illustrative simulations to quantitatively predictive modeling of tumor morphology, nutrient transport, phenotype distributions, growth, and residual stress.

References

These values are chosen to be representative, rather than being fitted to a specific experimental data set. A quantitative parameter identification is left for future work.

— A thermodynamically consistent framework for finite growth of multi-constituent mixtures with application to tumor growth  (2609.09328 - Stollberg et al., 8 Sep 2026) in Section 5.1, Setup of the initial–boundary value problem (paragraph beginning “The surrounding host tissue acts simultaneously as a chemical reservoir and as a mechanical support”)