TY - JOUR
T1 - Is cancer a pure growth curve or does it follow a kinetics of dynamical structural transformation?
AU - González, Maraelys Morales
AU - Joa, Javier Antonio González
AU - Cabrales, Luis Enrique Bergues
AU - Pupo, Ana Elisa Bergues
AU - Schneider, Baruch
AU - Kondakci, Suleyman
AU - Ciria, Héctor Manuel Camué
AU - Reyes, Juan Bory
AU - Jarque, Manuel Verdecia
AU - Mateus, Miguel Angel O.Farril
AU - González, Tamara Rubio
AU - Brooks, Soraida Candida Acosta
AU - Cáceres, José Luis Hernández
AU - González, Gustavo Victoriano Sierra
N1 - Publisher Copyright:
© 2017 The Author(s).
PY - 2017/3/7
Y1 - 2017/3/7
N2 - Background: Unperturbed tumor growth kinetics is one of the more studied cancer topics; however, it is poorly understood. Mathematical modeling is a useful tool to elucidate new mechanisms involved in tumor growth kinetics, which can be relevant to understand cancer genesis and select the most suitable treatment. Methods: The classical Kolmogorov-Johnson-Mehl-Avrami as well as the modified Kolmogorov-Johnson-Mehl-Avrami models to describe unperturbed fibrosarcoma Sa-37 tumor growth are used and compared with the Gompertz modified and Logistic models. Viable tumor cells (1×105) are inoculated to 28 BALB/c male mice. Results: Modified Gompertz, Logistic, Kolmogorov-Johnson-Mehl-Avrami classical and modified Kolmogorov-Johnson-Mehl-Avrami models fit well to the experimental data and agree with one another. A jump in the time behaviors of the instantaneous slopes of classical and modified Kolmogorov-Johnson-Mehl-Avrami models and high values of these instantaneous slopes at very early stages of tumor growth kinetics are observed. Conclusions: The modified Kolmogorov-Johnson-Mehl-Avrami equation can be used to describe unperturbed fibrosarcoma Sa-37 tumor growth. It reveals that diffusion-controlled nucleation/growth and impingement mechanisms are involved in tumor growth kinetics. On the other hand, tumor development kinetics reveals dynamical structural transformations rather than a pure growth curve. Tumor fractal property prevails during entire TGK.
AB - Background: Unperturbed tumor growth kinetics is one of the more studied cancer topics; however, it is poorly understood. Mathematical modeling is a useful tool to elucidate new mechanisms involved in tumor growth kinetics, which can be relevant to understand cancer genesis and select the most suitable treatment. Methods: The classical Kolmogorov-Johnson-Mehl-Avrami as well as the modified Kolmogorov-Johnson-Mehl-Avrami models to describe unperturbed fibrosarcoma Sa-37 tumor growth are used and compared with the Gompertz modified and Logistic models. Viable tumor cells (1×105) are inoculated to 28 BALB/c male mice. Results: Modified Gompertz, Logistic, Kolmogorov-Johnson-Mehl-Avrami classical and modified Kolmogorov-Johnson-Mehl-Avrami models fit well to the experimental data and agree with one another. A jump in the time behaviors of the instantaneous slopes of classical and modified Kolmogorov-Johnson-Mehl-Avrami models and high values of these instantaneous slopes at very early stages of tumor growth kinetics are observed. Conclusions: The modified Kolmogorov-Johnson-Mehl-Avrami equation can be used to describe unperturbed fibrosarcoma Sa-37 tumor growth. It reveals that diffusion-controlled nucleation/growth and impingement mechanisms are involved in tumor growth kinetics. On the other hand, tumor development kinetics reveals dynamical structural transformations rather than a pure growth curve. Tumor fractal property prevails during entire TGK.
KW - Diffusion-controlled nucleation/growth mechanisms
KW - Fibrosarcoma Sa-37 tumor
KW - Impingement mechanisms
KW - Isothermal dynamical structural transformation
UR - http://www.scopus.com/inward/record.url?scp=85014596006&partnerID=8YFLogxK
U2 - 10.1186/s12885-017-3159-y
DO - 10.1186/s12885-017-3159-y
M3 - Artículo
C2 - 28270135
AN - SCOPUS:85014596006
SN - 1471-2407
VL - 17
JO - BMC Cancer
JF - BMC Cancer
IS - 1
M1 - 174
ER -