Application of Mathematical Model of Cancer Treatment by Radiotherapy

Seyed Mehdi Hosseini Motlagh, Faeze Lari Motefaker
{"title":"Application of Mathematical Model of Cancer Treatment by Radiotherapy","authors":"Seyed Mehdi Hosseini Motlagh, Faeze Lari Motefaker","doi":"10.18502/BCCR.V11I3.5716","DOIUrl":null,"url":null,"abstract":"The aim of this study is achieve an analysis of the mathematical model governing radiotherapy as well as to achieve the concentration of healthy and cancerous cells to reduce the length of treatment and less damage to cancer treatment by this type of therapy. In order to obtain this, we used the latest mathematical radiotherapy model based on the Lotka-Volterra competitive equations and the Adomian decomposition method that is the one of the most advanced analytical solutions to solve differential equations to attain our goal. The calculation of the Adomian decomposition method was applied to the mathematical model governing radiotherapy, and then the concentration of healthy and cancerous cells was achieved with a very good approximation. Comparison of the behavior of healthy and cancerous cells concentrations based on experimental cases and the behavior of healthy and cancerous cells concentrations based on computations express the correctness of the work. ADM indicates the concentration of healthy and cancerous cells during the treatment stage and the no treatment stage can be effective in improving the modeling based on the competitive model of the Lotka-Volterra equations, which results in the reduction of the use of diagnostic devices, less radiation, the faster treatment process and decreasing the cost of treatment for patients and governments.","PeriodicalId":8706,"journal":{"name":"Basic & Clinical Cancer Research","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Basic & Clinical Cancer Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18502/BCCR.V11I3.5716","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The aim of this study is achieve an analysis of the mathematical model governing radiotherapy as well as to achieve the concentration of healthy and cancerous cells to reduce the length of treatment and less damage to cancer treatment by this type of therapy. In order to obtain this, we used the latest mathematical radiotherapy model based on the Lotka-Volterra competitive equations and the Adomian decomposition method that is the one of the most advanced analytical solutions to solve differential equations to attain our goal. The calculation of the Adomian decomposition method was applied to the mathematical model governing radiotherapy, and then the concentration of healthy and cancerous cells was achieved with a very good approximation. Comparison of the behavior of healthy and cancerous cells concentrations based on experimental cases and the behavior of healthy and cancerous cells concentrations based on computations express the correctness of the work. ADM indicates the concentration of healthy and cancerous cells during the treatment stage and the no treatment stage can be effective in improving the modeling based on the competitive model of the Lotka-Volterra equations, which results in the reduction of the use of diagnostic devices, less radiation, the faster treatment process and decreasing the cost of treatment for patients and governments.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
肿瘤放疗治疗数学模型的应用
本研究的目的是实现对控制放射治疗的数学模型的分析,以及实现健康细胞和癌细胞的浓度,以减少治疗时间和减少这种类型治疗对癌症治疗的损害。为了达到这个目的,我们使用了最新的基于Lotka-Volterra竞争方程的放射治疗数学模型和最先进的求解微分方程的解析解之一Adomian分解方法来实现我们的目标。将Adomian分解法的计算应用于控制放射治疗的数学模型中,然后以很好的近似值获得健康细胞和癌细胞的浓度。基于实验案例的健康细胞和癌细胞浓度行为的比较以及基于计算的健康细胞和癌细胞浓度行为的比较表明了工作的正确性。ADM表明,健康细胞和癌细胞在治疗阶段和未治疗阶段的浓度可以有效地改进基于Lotka-Volterra方程的竞争模型的建模,从而减少诊断设备的使用,减少辐射,加快治疗过程,降低患者和政府的治疗成本。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
16
审稿时长
12 weeks
期刊最新文献
The Effect of Ursodeoxycholic acid and N-acetyl cysteine on Lymphoblast Viability Cross-Reacting Material 197, a Specific Inhibitor of HB-EGF, and Its Anticancer Effects Chronic Myeloid Leukemia in a Young Man with Unusual Presentation of Weight Loss, Bone Pain, and Abdominal Pain Effects of Gold Nanoparticles on Proton Therapy for Breast Cancer Cancer has an Independent Association with Death in Hospitalized Patients with COVID-19: A Single-center Study in Iran
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1