Spatio temporal dynamics of direct current in treated anisotropic tumors

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

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 609-632

Abstract: 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.

Keywords: Modified Gompertz equation; Anisotropic and heterogeneous malignant solid tumors; Electrochemical therapy; Diffusion tensor (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:609-632

DOI: 10.1016/j.matcom.2022.07.004

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