| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000453974 |
| ISSN: | 0035-001X |
| Authors: | Villar Goris, N.A1 Selva Castañeda, A.R2 Ramírez Torres, E.E2 Bory Reyes, J3 Randez, L4 Bergues Cabrales, L.E4 Montijano, J.I4 |
| Institutions: | 1Universidad Autónoma de Santo Domingo, Santo Domingo. República Dominicana 2Universidad de Oriente, Facultad de Ingeniería en Telecomunicaciones, Informática y Biomédica, Santiago de Cuba. Cuba 3Instituto Politécnico Nacional, Ciudad de México. México 4Universidad de Zaragoza, Instituto Universitario de Investigación de Matemáticas y Aplicaciones, Zaragoza. España |
| Year: | 2020 |
| Season: | Sep-Oct |
| Volumen: | 66 |
| Number: | 5 |
| Pages: | 632-636 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | The classical and modified equations of Kolmogorov-Johnson-Mehl-Avrami are compared with the equations of conventional Gompertz and Montijano-Bergues-Bory-Gompertz, in the frame of growth kinetics of tumors. For this, different analytical and numerical criteria are used to demonstrate the similarity between them, in particular the distance of Hausdorff. The results show that these equations are similar from the mathematical point of view, and the parameters of the Gompertz equation are explicitly related to those of the Avrami equation. It is concluded that Modified Kolmogorov-Johnson-Mehl-Avrami and Montijano-Bergues-Bory-Gompertz equations can be used to describe the growth kinetics of unperturbed tumors |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Formulaciones de Avrami, Formulaciones de Gompertz, Cinética de crecimiento tumoral, Dimensión fractal |
| Keyword: | Physics, Avrami formulations, Gompertz formulations, Tumor growth kinetics, Fractal dimension |
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