magistrsko delo
Urška Andrenšek (Author), Primož Ziherl (Mentor), Matej Krajnc (Co-mentor)

Abstract

V delu raziščemo teorijo elastičnosti nepodprtega enoslojnega epitelnega tkiva in odkrijemo nov mehanizem gubanja, ki je posledica končne debeline in površinskih napetosti celic ter vodi do istih oblik, kakršne opazimo pri tankih podprtih elastičnih plasteh ob geometrijskem neujemanju s substratom. Tako z izpeljavo kontinuumske teorije kot s simulacijami ogliščnega modela pokažemo, da lahko epitelno tkivo avtonomno spremeni ravnovesno stanje iz pričakovanega uklona v nagubano obliko. Z vpeljavo togosti fantomskega substrata našo teorijo poenotimo s teorijo tankih podprtih plasti in s tem pokažemo, da lahko pri določitvi površinske deformacije učinka končne debeline epitela in površinskih napetosti celic nadomestita interakcijo s podpornim tkivom.

Keywords

biofizika;epitelno tkivo;gubanje;diferencialna površinska napetost;elastičnost;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: [U. Andrenšek]
UDC: 577.3
COBISS: 120458499 Link will open in a new window
Views: 39
Downloads: 5
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Other data

Secondary language: English
Secondary title: Wrinkling of unsupported epithelial tissues
Secondary abstract: We investigate the elasticity of unsupported epithelial monolayers and discover a novel wrinkling mechanism, which relies on finite-thickness effects and surface tension of the cells. The mechanism results in the same shapes as those seen in thin supported elastic sheets as a consequence of geometric mismatch with the substrate. By using both continuum–mechanics arguments and finite-element simulations, we show that unsupported monolayers can autonomously transition from the expected buckling deformation mode to the wrinkling mode. By introducing an effective stiffness of a phantom substrate, we formally reconcile our theory with the wrinkling of thin sheets, which shows that the combined effects of the finite epithelial thickness and the cells’ surface tension can replace the interaction with a supporting bulk material.
Secondary keywords: biophysics;epithelial tissue;wrinkling;differential surface tension;elasticity;
Type (COBISS): Master's thesis/paper
Study programme: 0
Embargo end date (OpenAIRE): 1970-01-01
Thesis comment: Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za fiziko
Pages: 52 str.
ID: 16363422