Numerical analysis of a cell dwarfism model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:349

Article

Abia, L. M.²  Angulo, O.¹  Lopez-Marcos, J. C.²  Lopez-Marcos, M. A.² 

[1] Univ Valladolid, Dept Matemat Aplicada, ETSIT, Pso Belen 5, E-47011 Valladolid, Spain

[2] Univ Valladolid, Dept Matemat Aplicada, Fac Ciencias, Pso Belen 7, E-47011 Valladolid, Spain

关键词: Size-structured population;    Cell population models;    Dwarfism;    Numerical methods;    Convergence analysis;    Efficiency;   

DOI  :  10.1016/j.cam.2018.09.038

来源: Elsevier

【 摘 要 】

In this work, we study numerically a model which describes cell dwarfism. It consists in a pure initial value problem for a first order partial differential equation, that can be applied to the description of the evolution of diseases as thalassemia. We design two numerical methods that prevent the use of the characteristic curve x = 0, and derive their optimal rates of convergence. Numerical experiments are also reported in order to demonstrate the predicted accuracy of the schemes. Finally, a comparison study on their efficiency is presented. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free