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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. | 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. | ||
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Revision as of 12:10, 15 February 2022
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.
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Published on 15/02/22
Accepted on 15/02/22
Submitted on 15/02/22
Volume IS14 - Multi-Physics Modeling With SPH Method, 2022
DOI: 10.23967/particles.2021.001
Licence: CC BY-NC-SA license
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