Upscaling between Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions in One Dimension

School Of Mathematical Sciences

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Upscaling between Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions in One Dimension. / Peng, Q.; Vermolen, F.J.
PARTICLES 2021 - 7th International Conference on Particle-Based Methods: Fundamentals and Applications. 2021.

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

Bibtex

@inproceedings{f1d5ffee2c504e589108910378af5eec,

title = "Upscaling between Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions in One Dimension",

abstract = "Skin contraction during wound healing is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert pulling forces on the surrounding extracellular matrix (ECM). Modelling is done in multiple scales: agent-based modelling on the microscale and continuum-based modelling on the macroscale. The momentum equilibrium equation is used to simulate this phenomenon in both models, with different expression of the cellular forces. In this manuscript, we managed to rigorously establish the link between the two modelling approaches for both closed-form solutions and finite-element approximations in one dimension.",

author = "Q. Peng and F.J. Vermolen",

year = "2021",

month = oct,

day = "4",

language = "English",

booktitle = "PARTICLES 2021 - 7th International Conference on Particle-Based Methods: Fundamentals and Applications",

}

RIS

TY - GEN

T1 - Upscaling between Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions in One Dimension

AU - Peng, Q.

AU - Vermolen, F.J.

PY - 2021/10/4

Y1 - 2021/10/4

N2 - Skin contraction during wound healing is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert pulling forces on the surrounding extracellular matrix (ECM). Modelling is done in multiple scales: agent-based modelling on the microscale and continuum-based modelling on the macroscale. The momentum equilibrium equation is used to simulate this phenomenon in both models, with different expression of the cellular forces. In this manuscript, we managed to rigorously establish the link between the two modelling approaches for both closed-form solutions and finite-element approximations in one dimension.

AB - Skin contraction during wound healing is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert pulling forces on the surrounding extracellular matrix (ECM). Modelling is done in multiple scales: agent-based modelling on the microscale and continuum-based modelling on the macroscale. The momentum equilibrium equation is used to simulate this phenomenon in both models, with different expression of the cellular forces. In this manuscript, we managed to rigorously establish the link between the two modelling approaches for both closed-form solutions and finite-element approximations in one dimension.

M3 - Conference contribution/Paper

BT - PARTICLES 2021 - 7th International Conference on Particle-Based Methods: Fundamentals and Applications

ER -

Research