title: Is cancer a pure growth curve or does it follow a kinetics of dynamical structural transformation?
abstract: 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.
  
  
  
  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.
  
  
  
  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.
  
  
  
  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.
authors.affiliation: Pharmacy Department, Oriente University, Natural Science Faculty, Patricio Lumumba Street, Santiago de Cuba, 90500, Cuba.
authors.forename: Maraelys Morales
authors.initials: MM
authors.lastname: González
authors.affiliation: National Center of Seismology Research, Street 7 # 2 between L and M, Terraza, Santiago de Cuba, 90400, Cuba.
authors.forename: Javier Antonio González
authors.initials: JA
authors.lastname: Joa
authors.affiliation: Research and Innovation Department, Oriente University, National Center of Applied Electromagnetism, Ave. Las Américas, Santiago de Cuba, 90400, Cuba. berguesc@yahoo.com.
authors.forename: Luis Enrique Bergues
authors.initials: LE
authors.lastname: Cabrales
authors.affiliation: Physics Department, Oriente University, Natural Sciences Faculty, Patricio Lumumba Street, Santiago de Cuba, 90500, Cuba.
authors.forename: Ana Elisa Bergues
authors.initials: AE
authors.lastname: Pupo
authors.affiliation: Faculty of Sciences and Literature, Department of Mathematics, Izmir University of Economics, Izmir, 353300, Turkey.
authors.forename: Baruch
authors.initials: B
authors.lastname: Schneider
authors.affiliation: Faculty of Engineering and Computer Sciences, Department of Computer Engineering, Izmir University of Economics, Izmir, 353300, Turkey.
authors.forename: Suleyman
authors.initials: S
authors.lastname: Kondakci
authors.affiliation: Research and Innovation Department, Oriente University, National Center of Applied Electromagnetism, Ave. Las Américas, Santiago de Cuba, 90400, Cuba.
authors.forename: Héctor Manuel Camué
authors.initials: HM
authors.lastname: Ciria
authors.affiliation: ESIME-Zacatenco, Instituto Politécnico Nacional, México, DF, 07738, Mexico.
authors.forename: Juan Bory
authors.initials: JB
authors.lastname: Reyes
authors.affiliation: Infantil Sur Hospital, Onco-Hematology Department, Santiago de Cuba, 90200, Cuba.
authors.forename: Manuel Verdecia
authors.initials: MV
authors.lastname: Jarque
authors.affiliation: Conrado Benítez Oncological Hospital, Mastology Department, Santiago de Cuba, 90500, Cuba.
authors.forename: Miguel Angel O'Farril
authors.initials: MA
authors.lastname: Mateus
authors.affiliation: Dirección Municipal de Salud Pública, Servicio de Genética, Santiago de Cuba, 90500, Cuba.
authors.forename: Tamara Rubio
authors.initials: TR
authors.lastname: González
authors.affiliation: Hospital Provincial Saturnino Lora, Servicio de Medicina Interna, Santiago de Cuba, 90500, Cuba.
authors.forename: Soraida Candida Acosta
authors.initials: SC
authors.lastname: Brooks
authors.affiliation: Facultad de Ciencias Médicas "Diez de Octubre", Universidad de Ciencias Médicas de La Habana, Avenida Independencia No. 8126, Esquina a Calle 100, Boyeros, La Habana, Cuba.
authors.forename: José Luis Hernández
authors.initials: JL
authors.lastname: Cáceres
authors.affiliation: Grupo de las Industrias Biotecnológicas y Farmacéuticas (BioCubafarma), Havana, Cuba.
authors.forename: Gustavo Victoriano Sierra
authors.initials: GV
authors.lastname: González
mesh_terms: D000818:Animals; D045744:Cell Line, Tumor; D049109:Cell Proliferation; D005354:Fibrosarcoma / Q000473:pathology*; D006801:Humans; D007700:Kinetics; D051379:Mice; D008962:Models, Theoretical; D023041:Xenograft Model Antitumor Assays
keywords: Diffusion-controlled nucleation/growth mechanisms; Fibrosarcoma Sa-37 tumor; Impingement mechanisms; Isothermal dynamical structural transformation