A level-set approach for a multi-scale cancer invasion model

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2018-05-19 DOI:10.5206/MASE/11087
T. Carraro, S. Wetterauer, Ana Victoria Ponce Bobadilla, D. Trucu
{"title":"A level-set approach for a multi-scale cancer invasion model","authors":"T. Carraro, S. Wetterauer, Ana Victoria Ponce Bobadilla, D. Trucu","doi":"10.5206/MASE/11087","DOIUrl":null,"url":null,"abstract":"The quest for a deeper understanding of the cancer growth and spread process focuses on the naturally multiscale nature of cancer invasion, which requires an appropriate multiscale modeling and analysis approach. The cross-talk between the dynamics of the cancer cell population on the tissue scale (macroscale) and the proteolytic molecular processes along the tumor border on the cell scale (microscale) plays a particularly important role within the invasion processes, leading to dramatic changes in tumor morphology and influencing the overall pattern of cancer spread. Building on the multiscale moving boundary framework proposed in Trucu et al. (Multiscale Model. Simul 11(1): 309-335), in this work we propose a new  formulation of this process involving a novel derivation of the macro scale boundary movement law based on micro-dynamics, involving a transport equation combined with the level-set method. This is explored numerically in a novel finite element macro-micro framework based on cut-cells.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2018-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in applied sciences and engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5206/MASE/11087","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1

Abstract

The quest for a deeper understanding of the cancer growth and spread process focuses on the naturally multiscale nature of cancer invasion, which requires an appropriate multiscale modeling and analysis approach. The cross-talk between the dynamics of the cancer cell population on the tissue scale (macroscale) and the proteolytic molecular processes along the tumor border on the cell scale (microscale) plays a particularly important role within the invasion processes, leading to dramatic changes in tumor morphology and influencing the overall pattern of cancer spread. Building on the multiscale moving boundary framework proposed in Trucu et al. (Multiscale Model. Simul 11(1): 309-335), in this work we propose a new  formulation of this process involving a novel derivation of the macro scale boundary movement law based on micro-dynamics, involving a transport equation combined with the level-set method. This is explored numerically in a novel finite element macro-micro framework based on cut-cells.
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
多尺度肿瘤侵袭模型的水平集方法
为了更深入地了解癌症的生长和扩散过程,重点关注癌症侵袭的自然多尺度性质,这需要适当的多尺度建模和分析方法。在组织尺度(宏观尺度)上癌细胞群体的动态与细胞尺度(微观尺度)上沿肿瘤边界的蛋白水解分子过程之间的串扰在侵袭过程中起着特别重要的作用,导致肿瘤形态的剧烈变化,影响肿瘤扩散的整体格局。基于Trucu等人提出的多尺度移动边界框架(multiscale Model)。Simul 11(1): 309-335),在这项工作中,我们提出了这个过程的新公式,涉及基于微动力学的宏观尺度边界运动规律的新推导,涉及结合水平集方法的输运方程。在基于切割单元的新型有限元宏微观框架中对这一问题进行了数值探讨。
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
CiteScore
1.40
自引率
0.00%
发文量
0
审稿时长
21 weeks
期刊最新文献
Optimal actuator design for control of vibrations induced by pedestrian-bridge interactions Unraveling the role of inert biomass in membrane aerated biofilm reactors for simultaneous nitrification and denitrification Time-delayed models for the effects of toxicants on populations in contaminated aquatic ecosystems Lyapunov-Schmidt reduction in the study of bifurcation of periodic travelling wave solutions of a perturbed (1 + 1)−dimensional dispersive long wave equation Relative operator entropy properties related to some weighted metrics
×
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