Diffuse interface model for cell interaction and aggregation with Lennard-Jones type potential

被引：2

作者：

Shen, Lingyue ^{[1
]}

Lin, Ping ^{[1
]}

Xu, Zhiliang ^{[2
]}

Xu, Shixin ^{[3
]}

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[2] Univ Notre Dame, Dept Appl & Computat Math & Stat, 102G Crowley Hall, Notre Dame, IN 46556 USA

[3] Duke Kunshan Univ, Zu Chongzhi Ctr Math & Computat Sci CMCS, Global Hlth Res Ctr GHRC, 8 Duke Ave, Kunshan 215316, Jiangsu, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2023年 / 415卷

关键词：

Cell interaction; Aggregation; Energy-law preserving scheme; PHASE-FIELD MODEL; IRREVERSIBLE-PROCESSES; VARIATIONAL APPROACH; RECIPROCAL RELATIONS; VESSEL WALL; FLOW; MECHANISMS; FIBRINOGEN; RHEOLOGY; SCHEMES;

D O I：

10.1016/j.cma.2023.116257

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study introduces a phase-field model designed to simulate the interaction and aggregation of multicellular systems under flow conditions within a bounded spatial domain. The model incorporates a multi-dimensional Lennard-Jones potential to account for short-range repulsion and adhesive bonding between cells. To solve the governing equations while preserving energy law, a second-order accurate C0 finite element method is employed. The validity of the model is established through numerical tests, and experimental data from cell stretch tests is utilized for model calibration and validation. Additionally, the study investigates the impact of varying adhesion properties in red blood cells. Overall, this work presents a thermodynamically consistent and computationally efficient framework for simulating cell-cell and cell-wall interactions under flow conditions. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：25