Is cancer a pure growth curve or does it follow a kinetics of dynamical structural transformation?

BMC Cancer

Table 2 Mean ± mean standard error of the parameters and criteria for model assessment using in fitting of fibrosarcoma Sa-37 tumor growth data with modified models of Gompertz (Eq. 3), Logistic (Eq. 4) and Kolmogorov-Johnson-Mehl-Avrami (mKJMA) (Eq. 6) from t ≥ 0 days

	Modified models on normalized data
	Gompertz	Logistic	mKJMA
X₁ ± SD	(0.473 ± 0.053) days⁻¹	(0.953 ± 0.031) cm³	(0.052 ± 0.003) days⁻¹
X ₂ ± SD	(0.233 ± 0.031) days⁻¹	(0.425 ± 0.043) days⁻¹	7.599 ± 1.247
X₃ ± SD	-	-	2.271 ± 0.521
r² ± SD	0.995 ± 0.004	0.989 ± 0.007	0.994 ± 0.004
r ²_a ± SD	0.995 ± 0.004	0.989 ± 0.007	0.994 ± 0.004
SE ± SD	0.022 ± 0.007	0.032 ± 0.009	0.023 ± 0.007
SSE ± SD	0.009 ± 0.006	0.019 ± 0.0115	0.010 ± 0.006
PRESS ± SD	0.0004 ± 0.0003	0.0008 ± 0.0004	0.0004 ± 0.0002
MPRESS1 ± SD	0.0006 ± 0.0004	0.0012 ± 0.0007	0.0006 ± 0.0004
MPRESS2 ± SD	0.0006 ± 0.0004	0.0013 ± 0.0007	0.0007 ± 0.0004
MPRESS3 ± SD	0.0007 ± 0.0004	0.0014 ± 0.0007	0.0007 ± 0.0004
K_o (days⁻¹)	-	-	0.056 ± 0.004
E_a (J/mol)	-	-	187.331 ± 157.609
RT (J/mol)	-	-	2 568.85

X₁ and X ₂ variables signify the parameters α and β in the modified Gompertz model whereas these two variables symbolize the parameters K^* and r^* in the modified Logistic model, respectively. X₁ X ₂ and X₃ represent K, n and λ in mKJMA model, respectively. RT is the thermal energy calculated. T, K_o, E_a, SE, SSE, r ²_a , PRESS, MPRESS and SD are the temperature, pre-exponential factor, activation energy (activation enthalpy) of the transformation, standard error of the estimate, sum of squares of errors, adjusted r ², predicted residual error sum of squares, multiple predicted residual sum error of squares and standard deviation, respectively. r ² is the goodness-of-fit. Details of SE, SSE, r ², r ²_a , PRESS and MPRESS are given in [2, 14]

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