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

Conference paper (2020)

Authors

Q. Peng Numerical Analysis - EEMCS
F.J. Vermolen Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2020 Q. Peng, F.J. Vermolen
DOI
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https://doi.org/10.1109/MACISE49704.2020.00053
Finite element methods Skin contractions Dirac Delta distributions Singular solutions Smoothed forces
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Published Date

2020

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

Deep tissue injury is often followed by contraction of the scar tissue. This contraction occurs as a result of pulling forces that are exerted by fibroblasts (skin cells). We consider a cell-based approach to simulate the contraction behavior of the skin. Since the cells are much smaller than the wound region, we model cellular forces by means of Dirac Delta distributions. Since Dirac Delta distributions cause a singularity of the solution in terms of loss of smoothness, we study alternative approaches where smoothed forces are considered. We prove convergence and consistency between the various approaches, and we also show computational consistency between the approaches.