Parameters analysis of a porous medium model for treatment with hyperthermia using OpenMP

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Reis, Ruy Freitas^1 ; Dos Santos Loureiro, Felipe^1 ; Lobosco, Marcelo^1

Programa de Pós-Graduaçcão em Modelagem Computacional, Universidade Federal de Juiz de Fora, Brazil^1

关键词: Centered finite differences;    Magnetic nano-particles;    Predictor-corrector methods;    Second-order solutions;    Sensibility analysis;    Space discretizations;    Three-dimensional model;    Threshold temperatures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012087/pdf
DOI  :  10.1088/1742-6596/633/1/012087

来源: IOP

【 摘 要 】

Cancer is the second cause of death in the world so treatments have been developed trying to work around this world health problem. Hyperthermia is not a new technique, but its use in cancer treatment is still at early stage of development. This treatment is based on overheat the target area to a threshold temperature that causes cancerous cell necrosis and apoptosis. To simulate this phenomenon using magnetic nanoparticles in an under skin cancer treatment, a three-dimensional porous medium model was adopted. This study presents a sensibility analysis of the model parameters such as the porosity and blood velocity. To ensure a second-order solution approach, a 7-points centered finite difference method was used for space discretization while a predictor-corrector method was used to time evolution. Due to the massive computations required to find the solution of a three-dimensional model, this paper also presents a first attempt to improve performance using OpenMP, a parallel programming API.