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González MM, Joa JAG, Cabrales LEB, Pupo AEB, Schneider B, Kondakci S, Ciria HMC, Reyes JB, Jarque MV, Mateus MAO, González TR, Brooks SCA, Cáceres JLH, González GVS. Is cancer a pure growth curve or does it follow a kinetics of dynamical structural transformation? BMC Cancer 2017; 17:174. [PMID: 28270135 PMCID: PMC5339962 DOI: 10.1186/s12885-017-3159-y] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2016] [Accepted: 02/24/2017] [Indexed: 11/10/2022] Open
Abstract
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.
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Affiliation(s)
- Maraelys Morales González
- Pharmacy Department, Oriente University, Natural Science Faculty, Patricio Lumumba Street, Santiago de Cuba, 90500, Cuba
| | - Javier Antonio González Joa
- National Center of Seismology Research, Street 7 # 2 between L and M, Terraza, Santiago de Cuba, 90400, Cuba
| | - Luis Enrique Bergues Cabrales
- Research and Innovation Department, Oriente University, National Center of Applied Electromagnetism, Ave. Las Américas, Santiago de Cuba, 90400, Cuba.
| | - Ana Elisa Bergues Pupo
- Physics Department, Oriente University, Natural Sciences Faculty, Patricio Lumumba Street, Santiago de Cuba, 90500, Cuba
| | - Baruch Schneider
- Faculty of Sciences and Literature, Department of Mathematics, Izmir University of Economics, Izmir, 353300, Turkey
| | - Suleyman Kondakci
- Faculty of Engineering and Computer Sciences, Department of Computer Engineering, Izmir University of Economics, Izmir, 353300, Turkey
| | - Héctor Manuel Camué Ciria
- Research and Innovation Department, Oriente University, National Center of Applied Electromagnetism, Ave. Las Américas, Santiago de Cuba, 90400, Cuba
| | - Juan Bory Reyes
- ESIME-Zacatenco, Instituto Politécnico Nacional, México, DF, 07738, Mexico
| | | | | | - Tamara Rubio González
- Dirección Municipal de Salud Pública, Servicio de Genética, Santiago de Cuba, 90500, Cuba
| | | | - José Luis Hernández Cáceres
- 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
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Ciria HMC, González MM, Zamora LO, Cabrales LEB, Sierra González GV, de Oliveira LO, Zanella R, Buzaid AC, Parise O, Brito LM, Teixeira CAA, Gomes MDN, Moreno G, Feo da Veiga V, Telló M, Holandino C. Antitumor effects of electrochemical treatment. Chin J Cancer Res 2013; 25:223-34. [PMID: 23592904 PMCID: PMC3626978 DOI: 10.3978/j.issn.1000-9604.2013.03.03] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2013] [Accepted: 03/27/2013] [Indexed: 11/14/2022] Open
Abstract
Electrochemical treatment is an alternative modality for tumor treatment based on the application of a low intensity direct electric current to the tumor tissue through two or more platinum electrodes placed within the tumor zone or in the surrounding areas. This treatment is noted for its great effectiveness, minimal invasiveness and local effect. Several studies have been conducted worldwide to evaluate the antitumoral effect of this therapy. In all these studies a variety of biochemical and physiological responses of tumors to the applied treatment have been obtained. By this reason, researchers have suggested various mechanisms to explain how direct electric current destroys tumor cells. Although, it is generally accepted this treatment induces electrolysis, electroosmosis and electroporation in tumoral tissues. However, action mechanism of this alternative modality on the tumor tissue is not well understood. Although the principle of Electrochemical treatment is simple, a standardized method is not yet available. The mechanism by which Electrochemical treatment affects tumor growth and survival may represent more complex process. The present work analyzes the latest and most important research done on the electrochemical treatment of tumors. We conclude with our point of view about the destruction mechanism features of this alternative therapy. Also, we suggest some mechanisms and strategies from the thermodynamic point of view for this therapy. In the area of Electrochemical treatment of cancer this tool has been exploited very little and much work remains to be done. Electrochemical treatment constitutes a good therapeutic option for patients that have failed the conventional oncology methods.
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Affiliation(s)
- Héctor Manuel Camué Ciria
- Research Department, National Centre of Applied Electromagnetism, Oriente University, GP 4078, Santiago de Cuba, Cuba
| | | | | | - Luis Enrique Bergues Cabrales
- Research Department, National Centre of Applied Electromagnetism, Oriente University, GP 4078, Santiago de Cuba, Cuba
| | | | | | - Rodrigo Zanella
- Veterinary Teaching Hospital, Federal University of Rio Grande do Sul. Porto Alegre, RS, Brazil
| | | | | | - Luciana Macedo Brito
- Faculty of Pharmacy, Medicine Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
| | | | - Marina das Neves Gomes
- Faculty of Pharmacy, Medicine Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
| | - Gleyce Moreno
- Faculty of Pharmacy, Medicine Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
| | - Venicio Feo da Veiga
- Faculty of Pharmacy, Medicine Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
- Professor Paulo de Góes Institute of Microbiology, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
| | - Marcos Telló
- Pontifical Catholic University of Rio Grande do Sul. Porto Alegre, RS, Brazil
| | - Carla Holandino
- Faculty of Pharmacy, Medicine Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
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