Fractional operator method on a multi-mutation and intrinsic resistance model
Fractional operator method on a multi-mutation and intrinsic resistance model
复制标题
多突变内禀抗模型的分数算子方法
DOI：
10.1016/j.aej.2019.12.033
复制
发表时间：
2020-08-01
影响因子：
6.8
通讯作者：
Shikongo, Albert
中科院分区：
文献类型：
--
作者：
Owolabi, Kolade M.;Shikongo, Albert
我们在这项工作中的重点是扩大与化疗应用的肿瘤宿主模型的研究，通过考虑一个模型，其中包括可以表达的内在耐药性和药物诱导的耐药性的条款。因此，我们扩展了一个模型，表达药物和药物诱导的耐药性，包括空间效应的参与细胞，建立生理水平和渐近稳定条件的平衡点的两个模型。由于这是不容易解决的扩展模型解析，我们提出了一个良好的数值方法的基础上分数阶导数。我们提出了我们的解决方案的比较目的，关于稳定性条件。(C)2019年，任作家。由Elsevier B. V.代表亚历山大大学工程学院出版。这是一个在CC BY-NC-ND许可证下的开放获取文章（http：creativecommons.org/ licenses/by-nc-nd/4.0/）。
Our focus in this work is to expand the studies on a tumour-host model with chemotherapy application, by considering a model which includes terms that can express both intrinsic drug resistance and drug-induced resistance. Thus, we extend a model that expresses both drug and drug-induced resistances to include spatial effects of the involved cells, establish the physiological levels and asymptotic stability conditions of the equilibrium points of both models. Since it is not that easy to solve the extended model analytically we propose a well posed numerical method based on fractional derivatives. We present our solutions for comparison purpose with regard to the stability conditions. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).