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

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Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction. / Peng, Qiyao; Vermolen, Fred.
Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. ed. / F. J. Vermolen; C. Vuik. Cham: Springer, 2020. p. 763-771.

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 FJ Vermolen & C Vuik (eds), Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. Springer, Cham, pp. 763-771. https://doi.org/10.1007/978-3-030-55874-1_75

APA

Peng, Q., & Vermolen, F. (2020). Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction. In F. J. Vermolen, & C. Vuik (Eds.), Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4 (pp. 763-771). Springer. https://doi.org/10.1007/978-3-030-55874-1_75

Vancouver

Peng Q, Vermolen F. Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction. In Vermolen FJ, Vuik C, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. Cham: Springer. 2020. p. 763-771 doi: 10.1007/978-3-030-55874-1_75

Author

Peng, Qiyao ; Vermolen, Fred. / Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction. Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. editor / F. J. Vermolen ; C. Vuik. Cham : Springer, 2020. pp. 763-771

Bibtex

@inproceedings{b5e7eccb6a8a4814bc72ab4ad1e495ed,
title = "Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction",
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.",
author = "Qiyao Peng and Fred Vermolen",
year = "2020",
month = aug,
day = "22",
doi = "10.1007/978-3-030-55874-1_75",
language = "English",
isbn = "9783030558734",
pages = "763--771",
editor = "Vermolen, {F. J.} and C. Vuik",
booktitle = "Numerical Mathematics and Advanced Applications, ENUMATH 2019",
publisher = "Springer",

}

RIS

TY - GEN

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

AU - Peng, Qiyao

AU - Vermolen, Fred

PY - 2020/8/22

Y1 - 2020/8/22

N2 - 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.

AB - 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.

UR - https://research.tudelft.nl/en/publications/4327d079-604a-4915-8b70-c1617ec48782

U2 - 10.1007/978-3-030-55874-1_75

DO - 10.1007/978-3-030-55874-1_75

M3 - Conference contribution/Paper

SN - 9783030558734

SP - 763

EP - 771

BT - Numerical Mathematics and Advanced Applications, ENUMATH 2019

A2 - Vermolen, F. J.

A2 - Vuik, C.

PB - Springer

CY - Cham

ER -