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dc.contributor.authorWittum, Rebecca
dc.contributor.authorNaegel, Arne
dc.contributor.authorHeisig, Michael
dc.contributor.authorWittum, Gabriel
dc.date.accessioned2018-01-01T12:19:02Z
dc.date.available2018-01-01T12:19:02Z
dc.date.issued2017-12-06
dc.identifier.citationWittum R, Naegel A, Heisig M, Wittum G (2017) Mathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement. Mathematics and Mechanics of Solids: 108128651774329. Available: http://dx.doi.org/10.1177/1081286517743297.
dc.identifier.issn1081-2865
dc.identifier.issn1741-3028
dc.identifier.doi10.1177/1081286517743297
dc.identifier.urihttp://hdl.handle.net/10754/626604
dc.description.abstractIn-silico methods are valuable tools for understanding the barrier function of the skin. The key benefit is that mathematical modelling allows the interplay between cell shape and function to be elucidated. This study focuses on the viable (living) epidermis. For this region, previous works suggested a diffusion model and an approximation of the cells by hexagonal prisms. The work at hand extends this in three ways. First, the extracellular space is treated with full spatial resolution. This induces a decrease of permeability by about 10%. Second, cells of tetrakaidecahedral shape are considered, in addition to the original hexagonal prisms. For both cell types, the resulting membrane permeabilities are compared. Third, for the first time, the influence of cell stacking in the vertical direction is considered. This is particularly important for the stratum granulosum, where tight junctions are present.
dc.publisherSAGE Publications
dc.relation.urlhttp://journals.sagepub.com/doi/10.1177/1081286517743297
dc.subjectSkin
dc.subjectin silico
dc.subjectmathematical model
dc.subjectviable epidermis
dc.titleMathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentExtreme Computing Research Center
dc.identifier.journalMathematics and Mechanics of Solids
dc.contributor.institutionGoethe-Centre for Scientific Computing, Goethe-University, Frankfurt am Main, Germany
kaust.personWittum, Gabriel
dc.date.published-online2017-12-06
dc.date.published-print2020-05


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