基于改进分数式的乳腺癌免疫化疗分数阶数学模型的数值解

IF 0.7 Q2 MATHEMATICS
Ma’mon Abu Hammad, I. Jebril, Shameseddin Alshorm, I. Batiha, Nancy Abu Hammad
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引用次数: 0

摘要

癌症是一组复杂多样的疾病,其特征是体内异常细胞的不受控制的生长和扩散。肿瘤通常与癌症有关,是指在各种器官或组织中生长的异常组织块。癌症几乎可以从体内任何类型的细胞中产生,并且可以影响不同的器官和系统。当正常的细胞分裂和生长过程出错,导致恶性肿瘤的形成时,就会发生这种疾病。这些肿瘤有可能侵入附近的组织,并通过一个被称为转移的过程扩散到身体的远处。在本文中,我们旨在使用一种称为修正分数欧拉法(MFEM)的新型数值方案,为最近与乳腺癌免疫化疗(ICT)相关的分数阶模型提供数值解。我们还将通过数值模拟将我们提出的方案与传统的数值方案分数阶欧拉法(FEM)进行比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula
Cancer is a complex and diverse group of diseases characterized by the uncontrolled growth and spread of abnormal cells in the body. Tumors, which are commonly associated with cancer, refer to abnormal masses of tissue that can develop in various organs or tissues. Cancer can arise from almost any cell type in the body and can affect different organs and systems. The disease occurs when the normal processes of cell division and growth go awry, leading to the formation of malignant tumors. These tumors have the potential to invade nearby tissues and spread to distant parts of the body through a process known as metastasis. In this paper, we aim to present a numerical solution for a recent fractional-order model related to Immune-Chemotherapeutic Treatment for Breast Cancer (ICT) using a novel numerical scheme called the Modified Fractional Euler Method (MFEM). We will also compare our proposed scheme with the traditional numerical scheme, Fractional Euler Method (FEM), through numerical simulations.
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来源期刊
CiteScore
1.30
自引率
10.00%
发文量
60
审稿时长
12 weeks
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