Mathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement

Handle URI:
http://hdl.handle.net/10754/626604
Title:
Mathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement
Authors:
Wittum, Rebecca; Naegel, Arne; Heisig, Michael; Wittum, Gabriel
Abstract:
In-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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Wittum 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.
Publisher:
SAGE Publications
Journal:
Mathematics and Mechanics of Solids
Issue Date:
7-Dec-2017
DOI:
10.1177/1081286517743297
Type:
Article
ISSN:
1081-2865; 1741-3028
Additional Links:
http://journals.sagepub.com/doi/10.1177/1081286517743297
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorWittum, Rebeccaen
dc.contributor.authorNaegel, Arneen
dc.contributor.authorHeisig, Michaelen
dc.contributor.authorWittum, Gabrielen
dc.date.accessioned2018-01-01T12:19:02Z-
dc.date.available2018-01-01T12:19:02Z-
dc.date.issued2017-12-07en
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.en
dc.identifier.issn1081-2865en
dc.identifier.issn1741-3028en
dc.identifier.doi10.1177/1081286517743297en
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.en
dc.publisherSAGE Publicationsen
dc.relation.urlhttp://journals.sagepub.com/doi/10.1177/1081286517743297en
dc.subjectSkinen
dc.subjectin silicoen
dc.subjectmathematical modelen
dc.subjectviable epidermisen
dc.titleMathematical modelling of the viable epidermis: impact of cell shape and vertical arrangementen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalMathematics and Mechanics of Solidsen
dc.contributor.institutionGoethe-Centre for Scientific Computing, Goethe-University, Frankfurt am Main, Germanyen
kaust.authorWittum, Gabrielen
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