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

BMC Cancer

Table 3 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. 2), Logistic (Eq. 1) and Kolmogorov-Johnson-Mehl-Avrami (mKJMA) (Eq. 6) from t ≥ 8 days

	Modified equations on normalized data
	Gompertz	Logistic	mKJMA
X₁ ± SD	(0.473 ± 0.053) days⁻¹	0.953 ± 0.031	(0.083 ± 0.008) days⁻¹
X ₂ ± SD	(0.233 ± 0.031) days⁻¹	(0.425 ± 0.043) days⁻¹	3.409 ± 0.529
X₃ ± SD	-	-	1.509 ± 0.366
r² ± SD	0.991 ± 0.005	0.982 ± 0.011	0.991 ± 0.006
r ²_a ± SD	0.990 ± 0.007	0.979 ± 0.013	0.990 ± 0.007
SE ± SD	0.030 ± 0.009	0.044 ± 0.013	0.030 ± 0.009
SSE ± SD	0.009 ± 0.006	0.019 ± 0.010	0.009 ± 0.006
PRESS ± SD	0.0008 ± 0.0005	0.0015 ± 0.0008	0.0007 ± 0.0005
MPRESS1 ± SD	0.0011 ± 0.0007	0.0022 ± 0.0014	0.0010 ± 0.0007
MPRESS2 ± SD	0.0012 ± 0.0008	0.0024 ± 0.0016	0.0012 ± 0.0007
MPRESS3 ± SD	0.0014 ± 0.0009	0.0026 ± 0.0018	0.0013 ± 0.0009
K_o (days⁻¹)	-	-	0.109 ± 0.014
E_a (J/mol)	-	-	706.97 ± 393.15
RT (J/mol)	-	-	2 568.85

X₁ and X ₂ variables signify the parameters α and β in the modified Gompertz equation whereas these two variables symbolize the parameters K^* and r^* in the modified Logistic equation, respectively. X₁ X ₂ and X₃ represent K, n and λ in Modified KJMA equation, respectively. RT is the thermal energy calculated. SE: Standard error of the estimate. SSE sum of squares of errors. r ²_a : adjusted r². PRESS Predicted residual error sum of squares and MPRESS Multiple predicted residual sum error of squares. SD Standard deviation. K_o is the pre-exponential factor. E_a is the activation energy (activation enthalpy) of tumor cell nucleation. r ² is the goodness-of-fit. Details of SE, SSE, r ², r ²_a , PRESS and MPRESS are given in [2, 14]

ISSN: 1471-2407