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

[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.

[发布机构] Programa de Pós-Graduaçcão em Modelagem Computacional, Universidade Federal de Juiz de Fora, Brazil^1

[效力级别] 数学

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