TY - GEN
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 - 2009
Y1 - 2009
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 goodnessof-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 goodnessof-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 - Direct electric current
KW - Malignant tumor
KW - Mathematical modeling
KW - Modified gompertz equation
UR - http://www.scopus.com/inward/record.url?scp=77950173311&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-03882-2_134
DO - 10.1007/978-3-642-03882-2_134
M3 - Contribución a la conferencia
AN - SCOPUS:77950173311
SN - 9783642038815
T3 - IFMBE Proceedings
SP - 506
EP - 509
BT - World Congress on Medical Physics and Biomedical Engineering
PB - Springer Verlag
T2 - World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics
Y2 - 7 September 2009 through 12 September 2009
ER -