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University of Illinois Urbana-Champaign

Modeling the mechanics of quasi-2D biological tissues through morphological cues

Abstract

dc:description

Simple vertex models have shown that the mechanical properties of 2D space-filling domain structures (e.g., layers of foam bubbles, emulsion droplets, Voronoi tiles, etc.) are related to their morphology (both to the geometry and to the statistical organization of the domains). The present research aims at confirming the degree to which these concepts are applicable to layers of biological cells, using experimental data and modeling of epithelial tissue sheets. Preliminary results show that geometric and statistical diagnostics deviate from 2D theory, and that the cause of such deviations is mechanical stress introduced at the apical and basal sides of the cell layer. Modified modeling approaches incorporating these effects are discussed. In this work, we propose an extension of this morphological analysis to biological tissue systems by explicitly accounting for aspects of biological tissue activity as part of a theoretical model. The results greatly impact the ability to quantitatively diagnose the mechanics and stability of tissue samples non-invasively as well as to identify and potentially generate morphological tissue states having desired physical properties.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Physics
Grantor
University of Illinois Urbana-Champaign
Year dc:date
2025

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Nakib, Mayisha Zeb
Contributors dc:contributor
  • Hilgenfeldt, Sascha
  • Chemla, Yann
  • Cooper, Lance
  • Leggett, Anthony

Subjects

dc:subject × 11

Rights

dc:rights
Statement dc:rights
  • Copyright 2025 Mayisha Zeb Nakib
Language dc:language
en, eng

Identifiers

dc:identifier.*
Handle dc:identifier
https://hdl.handle.net/2142/129892

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Nakib, Mayisha Zeb. Modeling the mechanics of quasi-2D biological tissues through morphological cues. Dissertation thesis, University of Illinois Urbana-Champaign, 2025. https://hdl.handle.net/2142/129892