Spatio temporal dynamics of direct current in treated anisotropic tumors

Selva Castañeda, Antonio Rafael ; Mariño del Pozo, Josue ; Ramirez-Torres, Erick Eduardo ; Roca Oria, Eduardo José ; Bolaños Vaillant, Sorangel ; Montijano, Juan I. (Universidad de Zaragoza) ; Bergues Cabrales, Luis Enrique

Resumen: The inclusion of a diffusion term in the modified Gompertz equation (Cabrales et al., 2018) allows to describe the spatiotemporal growth of direct current treated tumors. The aim of this study is to extend the previous model to the case of anisotropic tumors, simulating the spatiotemporal behavior of direct current treated anisotropic tumors, also carrying out a theoretical analysis of the proposed model. Growths in the mass, volume and density of the solid tumors are shown for each response type after direct current application (disease progression, partial response, stationary partial response and complete remission). For this purpose, the Method of Lines and different diffusion tensors are used. The results show that the growth of the tumor treated with direct current is faster for the shorter duration of the net antitumor effect and the higher diffusion coefficient and anisotropy degree of the solid tumor. It is concluded that the greatest direct current antitumor effectiveness occurs for the highly heterogeneous, anisotropic, aggressive and hypodense malignant solid tumors.

Idioma: Inglés

DOI: 10.1016/j.matcom.2022.07.004

Año: 2023

Publicado en: MATHEMATICS AND COMPUTERS IN SIMULATION 203 (2023), 609-632
ISSN: 0378-4754

Factor impacto JCR: 4.4 (2023)

Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 38 / 170 = 0.224 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 4 / 332 = 0.012 (2023) - Q1 - T1
Categ. JCR: COMPUTER SCIENCE, SOFTWARE ENGINEERING rank: 15 / 132 = 0.114 (2023) - Q1 - T1

Factor impacto CITESCORE: 8.9 - Applied Mathematics (Q1) - Numerical Analysis (Q1) - Theoretical Computer Science (Q1) - Computer Science (all) (Q1) - Modeling and Simulation (Q1)

Factor impacto SCIMAGO: 0.969 - Applied Mathematics (Q1) - Computer Science (miscellaneous) (Q1) - Modeling and Simulation (Q1) - Numerical Analysis (Q1) - Theoretical Computer Science (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-109045GB-C31

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)