. Author manuscript; available in PMC: 2021 Sep 16.

Published in final edited form as: IEEE Trans Biomed Eng. 2019 Oct 8;67(5):1450–1461. doi: 10.1109/TBME.2019.2938485

TABLE III.

SENSITIVITY ANALYSIS

Parameter	Days simulated	Tumor advance rate (μm/day)		Calcification growth rate (μm³/day)

		$\| S_{p}^{M} \|$	Variation	$\| S_{p}^{M} \|$	Variation
Cell cycle time (τ_p)	30	2.159	0.95	37.42	0.95

Hypoxia threshold (θ_H)	30	0.988	0.95	13.30	1.1

Cancer cell oxygen consumption rate (λ_C)	30	0.768	1.05	22.46	1.05

FGF proliferation threshold	30	0.462	1.1	13.82	0.95

Parameters were varied individually as indicated in ±5% intervals (in a range of 0.8- to 1.2-fold of their baseline values), with all other parameters held constant at their baseline values (Table I). All parameters were run for times indicated, with 30 day runs for all cases examined. In each case, the maximum absolute value of sensitivity coefficient $| S_{p}^{M} |$ gives quantification of overall model sensitivity of the parameter tested, which was observed at the associated reported variation value. The model was found to be most sensitive to variations in the cell cycle time, with lower cell cycle lengths resulting in greater total DCIS cell population and faster axial advance rates.