An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue

Mehdi Dehghan; Niusha Narimani

首页> 外文期刊>Applied Mathematical Modelling >An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue

【24h】

An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue

机译：用于模拟癌细胞入侵周围组织行为的无元素Galerkin无网格方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In the present work, we apply a meshless approach based on weak form namely element-free Galerkin for finding the numerical solution of the mathematical modelling of cancer cell invasion of tissue. A semi-implicit finite difference scheme based on backward Euler is also used for estimating the temporal variable. In order to verify this method, we have compared it numerically with another meshless technique i.e. generalized moving least squares approximation. The proposed method depends on a set of scattered points on the domain of the problem. Also, this approach is based on global weak form and requires a background cell for computing the numerical integrations. The studied model consists of a system of time-dependent reaction-diffusion-taxis partial differential equations describing the interactions between cancer cells, extracellular matrix and matrix degradation enzymes. At the end of this paper, we present some numerical simulations showing the behavior of cancer cell invasion of tissue at different times using regular and Halton points as well.

机译：在目前的工作中，我们应用基于弱形式即无元素Galerkin的无网格方法来寻找组织癌细胞侵袭数学模型的数值解。基于后向欧拉的半隐式有限差分方案也被用于估计时间变量。为了验证该方法，我们将其与另一种无网格技术（即广义移动最小二乘近似）进行了数值比较。所提出的方法取决于问题域上的一组分散点。同样，该方法基于整体弱形式，并且需要背景单元来计算数值积分。所研究的模型由一个随时间变化的反应-扩散-出租车偏微分方程组组成，描述了癌细胞，细胞外基质和基质降解酶之间的相互作用。在本文的最后，我们还提供了一些数值模拟，这些数值模拟也显示了使用常规点和Halton点在不同时间侵入癌细胞的行为。

著录项

来源
《Applied Mathematical Modelling》 |2018年第7期|500-513|共14页
作者
Mehdi Dehghan; Niusha Narimani;
展开▼
作者单位

Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology;

Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Cancer invasion; Reaction-diffusion-taxis partial differential equations; Moving least squares approximation; Element-free Galerkin method; A semi-implicit finite difference scheme; Mathematical biology;

机译：癌症侵袭;反应扩散轴心;偏微分方程;移动最小二乘近似;无元素Galerkin方法;半隐式有限差分方案;数学生物学;

相似文献

外文文献
中文文献
专利

1. RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D free vibration analysis of multilayered composite and FGM plates [J] . Chih-Ping Wu, Kuan-Hao Chiu Composite Structures . 2011,第5期

机译：基于RMVT的无网格搭配和无元素Galerkin方法用于多层复合材料和FGM板的准3D自由振动分析
2. RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates [J] . Chih-Ping Wu, Kuan-Hao Chiu, Yung-Ming Wang Composite Structures . 2011,第2期

机译：基于RMVT的无网格搭配和无元素Galerkin方法用于多层复合材料和FGM板的准3D分析
3. RMVT-based meshless collocation and element-free Galerkin methods for the approximate 3D analysis of multilayered composite and FGM circular hollow cylinders [J] . Chih-Ping Wu, Shih-Wei Yang Composites . 2011,第6期

机译：基于RMVT的无网格搭配和无元素Galerkin方法用于多层复合材料和FGM圆形空心圆柱的近似3D分析
4. Meshless element-free Galerkin method for ground-coupled heat transfer problems [C] . LI XIANGQIAN, WANG WEIWEI, LI MINGHAI, International Conference on Information Technology and Management Innovation . 2013

机译：无丝毫的无元素Galerkin方法，用于接地传热问题
5. Towards automated early cancer detection: Non-invasive, fluorescence-based approaches for quantitative assessment of cells and tissue to identify pre-cancers. [D] . Levitt, Jonathan Michael. 2009

机译：迈向自动化早期癌症检测：基于荧光的非侵入性方法，用于定量评估细胞和组织以鉴定癌症前期。
6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

机译：基于移动克里格插值的无网格局部Petrov-Galerkin方法求解时间分数Navier-Stokes方程
7. Table 5.4.a.1 Tumor size and histological classification Table 5.4.a.2 Tumor size and cancer stroma relationship Table 5.4.a.3 Tumor size and growth patterns of tumors infiltrating surrounding tissue Table 5.4.a.4 Tumor size and lymphatic invasion Table 5.4.a.5 Tumor size and venous invasion Table 5.4.a.6 Tumor size and intrapancreatic nerve invasion Figure 5.4.a.7 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to histological types Figure 5.4.a.8 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to cancer stroma relationship Figure 5.4.a.9 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to growth patterns of tumors infiltrating surrounding tissue Figure 5.4.a.10 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to lymphatic invasion Figure 5.4.a.11 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to venous invasion Figure 5.4.a.12 Cumulative survival of the patients after pancreatectomy for TS1 cancer according to intrapancreatic nerve invasion [O] . 2007

机译：表5.4.A.1肿瘤大小和组织学分类表5.4.a.2肿瘤大小和癌基质关系表5.4.a.3肿瘤渗透围绕组织的肿瘤大小和生长模式表5.4.a .4肿瘤大小和淋巴侵袭表5.4.a.5肿瘤大小和静脉侵袭表5.4.a.6肿瘤大小和脑内神经侵袭图5.4.a.7胰岛切除术后患者的累积存活根据组织学类型的TS1癌图5.4.a.8根据癌基质关系抑制患者患者的胰腺切除术后图5.4.a.9患者患者胰腺切除术治疗的抑制作用肿瘤渗透围绕组织的生长模式图5.4.A.10根据淋巴侵入胰腺切除术后患者的累积存活图5.4.A.11患者在胰腺切除术后患者的抑制作用静脉侵袭图5.4.A.12根据鳞气院神经入侵的TS1癌患者累积患者的存活
8. Direct Observations on the Mode of Invasion of Living Tissues by Ice. Part I. The Mode of Propagation of Ice in the Course of Freezing of Living Tissues. Part II. Behavior of Cells Upon Encounter with Invading Ice During Freezing of Living Tissues [R] . Luyet, B. J., Williams, R. J., Gehenio, P. M. 1964

机译：冰对活体组织侵袭模式的直接观察。第一部分冰在活组织冻结过程中的传播方式。第二部分。细胞在活组织冻结过程中遇到入侵冰的行为

An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue

摘要

著录项

相似文献

相关主题

期刊订阅