The initial engraftment of tumor cells is critical for the future growth pattern: a mathematical study based on simulations and animal experiments

Table 2 Parameter estimation of 20 synthetic samples of Gompertzian growth based on different measurement frequencies

Parameter	Estimated values¹	Estimated values³	Peb¹	Peb³	CV¹	CV³
V₀ [mm³]	3.61 (0.01–9.48)	5.11 (0–27.48)	2.6141	4.1113	86.8475	164.8952
a [day⁻¹]	0.52 (0.3–1.19)	0.69 (0.2–1.55)	−0.0788	0.2290	44.2930	57.3469
β [day⁻¹]	0.0664 (0.0524–0.0952)	0.0716 (0.0376–0.1031)	−0.0765	−0.0035	18.7014	27.685
a^a [day⁻¹]	0.55 (0.54–0.58)	0.55 (0.52–0.59)	−0.0104	−0.0156	2.0529	3.1901
β^a [day⁻¹]	0.0709 (0.0681–0.0758)	0.0702 (0.0655–0.0769)	−0.0143	−0.0231	2.6240	4.0617

The mean values for each parameter are indicated. The minimum and maximum values for each parameter are given in parentheses. Estimated parameters and fit metrics are based on different measurement frequencies of one¹ and three³ days between each measurement of the tumor volume. For example, the parameter estimation bias peb¹ and peb³ show results based on measurement intervals of one day and three days, respectively
^aParameter V₀ was set to 1 mm³ during the fitting procedure
True values: V₀ = 1 mm³, a = 0.56 day^− 1, β = 0.0719 day^− 1. A full version of this table is given in Additional file 1

ISSN: 1471-2407