Simulation of the oxygen distribution in a tumor tissue using residual algorithms

Bulletin of Computational Applied Mathematics

William La Cruz¹ 

[1]Departamento de Electrónica, Computación y Control, Facultad de Ingeniería, Universidad Central de Venezuela, Caracas 1053-DC, Venezuela

关键词: Distribution of oxygen;    Residual algorithm;    Finite difference method;    Nonlinear partial differential equations;    Tumor tissue;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper the use of recent residual algorithms for the simulation of the oxygen distribution in a tumor tissue in 2-D is proposed. The oxygen distribution in a tumor is considered a reaction-diffusion problem in steady state, whose mathematical model is a nonlinear partial differential equation, which is numerically solved using the traditional methods for systems of nonlinear equations (Newton's method, Broyden method, inexact Newton methods, etc.). Unlike of these traditional methods that require the use of derivatives and a large memory storage capacity, the proposed residual algorithms are derivative-free methods with low memory storage. The preliminary numerical results indicate that the proposed methods allows efficiently determine the distribution of oxygen in a tumor tissue to synthetic problems.

【 授权许可】

Unknown