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http://hdl.handle.net/1942/35722
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DC Field | Value | Language |
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dc.contributor.author | EGBERTS, Ginger | - |
dc.contributor.author | VERMOLEN, Fred | - |
dc.contributor.author | van Zuijlen, Paul | - |
dc.date.accessioned | 2021-10-27T11:29:09Z | - |
dc.date.available | 2021-10-27T11:29:09Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2021-09-17T12:48:07Z | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL BIOLOGY, 83 (3) (Art N° 24) | - |
dc.identifier.uri | http://hdl.handle.net/1942/35722 | - |
dc.description.abstract | To deal with permanent deformations and residual stresses, we consider amorphoelastic model for the scar formation as the result ofwound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the model accounts for biological constituents such as the concentration of signaling molecules, the cellular densities of fibroblasts and myofibroblasts, and the density of collagen. Here we present stability constraints for the one-dimensional counterpart of this morphoelastic model, for both the continuous and (semi-) discrete problem. We show that the truncation error between these eigenvalues associated with the continuous and semi-discrete problem is of order O(h(2)). Next we perform numerical validation to these constraints and provide a biological interpretation of the (in)stability. For the mechanical part of the model, the results show the components reach equilibria in a (non) monotonic way, depending on the value of the viscosity. The results show that the parameters of the chemical part of the model need to meet the stability constraint, depending on the decay rate of the signaling molecules, to avoid unrealistic results. | - |
dc.description.sponsorship | Dutch Burns Foundation [17.105] | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.rights | © The Author(s) 2021 | - |
dc.subject.other | Burns; Wound contraction; Stability; Morphoelasticity; Moving-grid | - |
dc.subject.other | finite-element | - |
dc.title | Stability of a one-dimensional morphoelastic model for post-burn contraction | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 3 | - |
dc.identifier.volume | 83 | - |
local.format.pages | 35 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Egberts, G (corresponding author), Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands.; Egberts, G; Vermolen, F (corresponding author), Univ Hasselt, Dept Math & Stat, Res Grp Computat Math CMAT, Hasselt, Belgium. | - |
dc.description.notes | G.Egberts@tudelft.nl; fred.vermolen@uhasselt.be | - |
local.publisher.place | TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 24 | - |
dc.identifier.doi | 10.1007/s00285-021-01648-5 | - |
dc.identifier.isi | WOS:000681766700002 | - |
dc.contributor.orcid | Vermolen, Fred/0000-0003-2212-1711; van Zuijlen, | - |
dc.contributor.orcid | Paul/0000-0003-3461-8848 | - |
local.provider.type | wosris | - |
local.uhasselt.uhpub | yes | - |
local.description.affiliation | [Egberts, Ginger] Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands. | - |
local.description.affiliation | [Egberts, Ginger; Vermolen, Fred] Univ Hasselt, Dept Math & Stat, Res Grp Computat Math CMAT, Hasselt, Belgium. | - |
local.description.affiliation | [van Zuijlen, Paul] Red Cross Hosp, Burn Ctr, Dept Plast Reconstruct & Hand Surg, Beverwijk, Netherlands. | - |
local.description.affiliation | [van Zuijlen, Paul] Amsterdam UMC, Amsterdam Mov Ement Sci, Locat VUmc, Dept Plast Reconstruct & Hand Surg, Amsterdam, Netherlands. | - |
local.description.affiliation | [van Zuijlen, Paul] Emma Childrens Hosp, Pediat Surg Ctr, Locat AMC & VUmc, Amsterdam UMC, Amsterdam, Netherlands. | - |
local.uhasselt.international | yes | - |
item.validation | ecoom 2022 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | EGBERTS, Ginger; VERMOLEN, Fred & van Zuijlen, Paul (2021) Stability of a one-dimensional morphoelastic model for post-burn contraction. In: JOURNAL OF MATHEMATICAL BIOLOGY, 83 (3) (Art N° 24). | - |
item.contributor | EGBERTS, Ginger | - |
item.contributor | VERMOLEN, Fred | - |
item.contributor | van Zuijlen, Paul | - |
crisitem.journal.issn | 0303-6812 | - |
crisitem.journal.eissn | 1432-1416 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Egberts2021_Article_StabilityOfAOne-dimensionalMor.pdf | Published version | 1.03 MB | Adobe PDF | View/Open |
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