Efficacy of direct current generated by multiple-electrode arrays on F3II mammary carcinoma: experiment and mathematical modeling

Goris, Narciso Antonio Villar; Rodríguez, Jorge Luis García; González, Maraelys Morales; Borges, Beatriz Olivares; Morales, Dasha Fuentes; Calzado, Enaide Maine; Castañeda, Antonio Rafael Selva; Torres, Leonardo Mesa; Montijano, Juan Ignacio; González, Victoriano Gustavo Sierra; Pérez, Daniel Jay; Posada, Oscar Ortiz; Martínez, Janet Avellanet; Delgado, Arlem García; Martínez, Karina García; Mon, Mayrel Labrada; Monzón, Kalet León; Ciria, Héctor Manuel Camué; Cabrales, Luis Enrique Bergues

doi:10.1186/s12967-020-02352-6

Table 4 Mean ± mean standard error of parameters obtained from fitting of TGK₁ for female groups

From: Efficacy of direct current generated by multiple-electrode arrays on F3II mammary carcinoma: experiment and mathematical modeling

Parameters	Experimental groups
Parameters	CG1-F	CG2-F	TG1-F	TG2-F	TG3-F	TG4-F	TG5-F	TG6-F
α (days⁻¹)	0.462 ± 0.044	0.490 ± 0.189	0.462 ± 0.044	0.490 ± 0.189	0.490 ± 0.189	0.490 ± 0.189	0.490 ± 0.189	0.490 ± 0.189
α^* (days⁻¹)	–	–	0.167 ± 0.019	0.300 ± 0.057	0.224 ± 0.033	0.197 ± 0.027	0.206 ± 0.014	0.187 ± 0.049
β (days⁻¹)	0.024 ± 0.026	0.013 ± 0.060	0.009 ± 0.005	0.055 ± 0.029	0.026 ± 0.014	0.023 ± 0.004	0.001 ± 0.001	0.016 ± 0.016
e_α (days⁻¹)	0.011 ± 0.003	0.008 ± 0.070	0.098 ± 0.075	0.073 ± 0.061	0.012 ± 0.005	0.015 ± 0.007	0.089 ± 0.057	0.037 ± 0.016
e_β (days⁻¹)	0.003 ± 0,000^*	0.007 ± 0.002	0.006 ± 0.001	0.051 ± 0.006	0.001 ± 0.000^**	0.008 ± 0.001	0.009 ± 0.003	0.015 ± 0.001
SSE (cm³)	0.016 ± 0.007	0.011 ± 0.002	0.113 ± 0.032	0.154 ± 0.051	0.613 ± 0.493	0.222 ± 0.107	0.079 ± 0.026	0.712 ± 0.248
SE (cm³)	0.019 ± 0.005	0.017 ± 0.001	0.026 ± 0.003	0.029 ± 0.005	0.048 ± 0.024	0.033 ± 0.009	0.022 ± 0.004	0.061 ± 0.015
\(r_{a}^{2}\)	0.994 ± 0.002	0.964 ± 0.015	0.977 ± 0.006	0.956 ± 0.007	0.980 ± 0.010	0.938 ± 0.038	0.964 ± 0.019	0.958 ± 0.013
PRESS (cm³)	0.001 ± 0.001	0.002 ± 0.001	0.012 ± 0.003	0.018 ± 0.006	0.029 ± 0.018	0.035 ± 0.022	0.016 ± 0.012	0.149 ± 0.063
MPRESS (cm³)	0.001 ± 0.001	0.002 ± 0.001	0.012 ± 0.003	0.018 ± 0.006	0.029 ± 0.018	0.035 ± 0.023	0.016 ± 0.012	0.151 ± 0.064
RMSE (cm³)	0.018 ± 0.005	0.017 ± 0.002	0.026 ± 0.003	0.029 ± 0.005	0.048 ± 0.024	0.032 ± 0.009	0.022 ± 0.004	0.060 ± 0.015
D_max (cm³)	0.034 ± 0.010	0.038 ± 0.010	0.054 ± 0.008	0.059 ± 0.011	0.110 ± 0.047	0.074 ± 0.023	0.054 ± 0.004	0.118 ± 0.031

^*0.0031 ± 0.0002,^**0.0012 ± 0.0001. TGK₁ was the first part of the unperturbed and direct current perturbed F3II tumor growth kinetic. The variable α was the intrinsic growth rate of the tumor and e_α its estimation error. The variable β was the growth decelation factor and e_β its estimation error. The maximum distance, root means square error, sum of squares of errors, standard error of the estimate, adjusted goodness-of-fit coefficient of multiple determination, predicted residual error sum of squares and multiple predicted residual sum error of squares parameters were represented by D_max, RMSE, SSE, SE, \(r_{a}^{2}\), PRESS and MPRESS (for m = 3), respectively. Legends of CG1-F, CG2-F, TG1-F, TG2-F, TG3-F, TG4-F, TG5-F and TG6-F were defined in Experiment subsection

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ISSN: 1479-5876

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