TY - JOUR
T1 - Mathematical modeling of tumor growth in mice following low-level direct electric current
AU - Cabrales, Luis Enrique Bergues
AU - Aguilera, Andrés Ramírez
AU - Jiménez, Rolando Placeres
AU - Jarque, Manuel Verdecia
AU - Ciria, Héctor Manuel Camué
AU - Reyes, Juan Bory
AU - Mateus, Miguel Angel O.Farril
AU - Palencia, Fabiola Suárez
AU - Ávila, Marisela González
N1 - Funding Information:
The authors wish to thank Emilio Suárez for their technical assistance. This research was supported by the Ministry of Science and Technology of Santiago de Cuba and Ministry of Superior Education, Republic of Cuba.
PY - 2008/6
Y1 - 2008/6
N2 - A modification to the conventional Gompertz equation (named modified Gompertz equation) is introduced to describe the solid tumor growth perturbed with direct electric current. Simulations of this equation are made. Quantitative fitting criteria as goodness-of-fit, handling missing data and prediction capability are considered. Also, parameter estimation accuracy is calculated. A fit of the experimental data of Ehrlich and fibrosarcoma Sa-37 tumor growths treated with different intensities of direct electric current are also made to validate this modified Gompertz equation. The results obtained in this study corroborate that the direct electric current effectiveness depends on (i/i0) ratio, and also on the duration of the effects of it into the tumor, and of the tumor type. It was concluded that the modified Gompertz equation has a good prediction capability to describe both unperturbed and perturbed tumor growths and it could be used to help physicians choose the most appropriate treatment for patients and animals with malignant solid tumors.
AB - A modification to the conventional Gompertz equation (named modified Gompertz equation) is introduced to describe the solid tumor growth perturbed with direct electric current. Simulations of this equation are made. Quantitative fitting criteria as goodness-of-fit, handling missing data and prediction capability are considered. Also, parameter estimation accuracy is calculated. A fit of the experimental data of Ehrlich and fibrosarcoma Sa-37 tumor growths treated with different intensities of direct electric current are also made to validate this modified Gompertz equation. The results obtained in this study corroborate that the direct electric current effectiveness depends on (i/i0) ratio, and also on the duration of the effects of it into the tumor, and of the tumor type. It was concluded that the modified Gompertz equation has a good prediction capability to describe both unperturbed and perturbed tumor growths and it could be used to help physicians choose the most appropriate treatment for patients and animals with malignant solid tumors.
KW - Malignant tumor
KW - Mathematical modeling
KW - Modified Gompertz equation
KW - direct electric current
UR - http://www.scopus.com/inward/record.url?scp=42149144094&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2007.06.004
DO - 10.1016/j.matcom.2007.06.004
M3 - Artículo
AN - SCOPUS:42149144094
SN - 0378-4754
VL - 78
SP - 112
EP - 120
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
IS - 1
ER -