A method for simulating the growth of cells on a general surface using the finite element method.

IF 1.6 4区医学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Methods in Biomechanics and Biomedical Engineering Pub Date : 2026-03-15 DOI:10.1080/10255842.2026.2638881

Paul J Harris

引用次数: 0

Abstract

The growth of cells on a surface coated with a nutrient is a technique widely used for tissue regeneration. A system of reaction-diffusion equations is used to model the densities of both the cells and the nutrient. This paper presents a finite element method for solving the equations on a general surface which is approximated by a set of flat triangular elements. A change of variables is used to convert the diffusion equations expressed in local coordinates on each element into the equivalent equation expressed in terms of the global coordinates. The methods are illustrated with some typical examples.

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一种用有限元法在一般表面上模拟细胞生长的方法。

细胞在涂有营养物的表面生长是一种广泛用于组织再生的技术。一个反应扩散方程组被用来模拟细胞和营养物的密度。本文提出了用一组平面三角形元近似的一般曲面上求解方程的有限元方法。通过变量变换，将以局部坐标表示的扩散方程转化为以全局坐标表示的等效方程。并以典型实例说明了该方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computer Methods in Biomechanics and Biomedical Engineering 工程技术-工程：生物医学

CiteScore

4.10

自引率

6.20%

发文量

179

审稿时长

4-8 weeks

期刊介绍： The primary aims of Computer Methods in Biomechanics and Biomedical Engineering are to provide a means of communicating the advances being made in the areas of biomechanics and biomedical engineering and to stimulate interest in the continually emerging computer based technologies which are being applied in these multidisciplinary subjects. Computer Methods in Biomechanics and Biomedical Engineering will also provide a focus for the importance of integrating the disciplines of engineering with medical technology and clinical expertise. Such integration will have a major impact on health care in the future.