Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction

Conference paper (2021)

Authors

Q. Peng Delft Institute of Applied Mathematics , Numerical Analysis - EEMCS
F.J. Vermolen Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
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Published Date

2021

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

We consider a cell-based approach in which the balance of momentum is used to predict the impact of cellular forces on the surrounding tissue. To this extent, the elasticity equation and Dirac Delta distributions are combined. In order to avoid the singularity caused by Dirac Delta distribution, alternative approaches are developed and a Gaussian distribution is used as a smoothed approach. Based on the application that the pulling force is pointing inward the cell, the smoothed particle approach is probed as well. In one dimension, it turns out that the aforementioned three approaches are consistent. For two dimensions, we report a computational consistence between the direct and smoothed particle approach.

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