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

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

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Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions. / Peng, Qiyao; Vermolen, Fred.
Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. IEEE, 2020. p. 250-259 9195573 (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

Harvard

Peng, Q & Vermolen, F 2020, Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions. in Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020., 9195573, Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020, IEEE, pp. 250-259, 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE), Madrid, Spain, 14/01/20. https://doi.org/10.1109/MACISE49704.2020.00053

APA

Peng, Q., & Vermolen, F. (2020). Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions. In Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020 (pp. 250-259). Article 9195573 (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020). IEEE. https://doi.org/10.1109/MACISE49704.2020.00053

Vancouver

Peng Q, Vermolen F. Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions. In Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. IEEE. 2020. p. 250-259. 9195573. (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020). doi: 10.1109/MACISE49704.2020.00053

Author

Peng, Qiyao ; Vermolen, Fred. / Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions. Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. IEEE, 2020. pp. 250-259 (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020).

Bibtex

@inproceedings{8babd6fb48f8479589909187e98dc167,
title = "Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions",
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. ",
keywords = "Dirac Delta distributions, Skin contractions, finite element methods, singular solutions, smoothed forces",
author = "Qiyao Peng and Fred Vermolen",
year = "2020",
month = jan,
day = "14",
doi = "10.1109/MACISE49704.2020.00053",
language = "English",
isbn = "9781728166957",
series = "Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020",
publisher = "IEEE",
pages = "250--259",
booktitle = "Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020",
note = "2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE) ; Conference date: 14-01-2020 Through 16-01-2020",
url = "https://ieeexplore.ieee.org/xpl/conhome/9186528/proceeding",

}

RIS

TY - GEN

T1 - Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction in Two Dimensions

AU - Peng, Qiyao

AU - Vermolen, Fred

PY - 2020/1/14

Y1 - 2020/1/14

N2 - 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.

AB - 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.

KW - Dirac Delta distributions

KW - Skin contractions

KW - finite element methods

KW - singular solutions

KW - smoothed forces

U2 - 10.1109/MACISE49704.2020.00053

DO - 10.1109/MACISE49704.2020.00053

M3 - Conference contribution/Paper

SN - 9781728166957

T3 - Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020

SP - 250

EP - 259

BT - Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020

PB - IEEE

T2 - 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE)

Y2 - 14 January 2020 through 16 January 2020

ER -