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Related Concept Videos

Classification of Epithelial Tissues: Overview01:22

Classification of Epithelial Tissues: Overview

Epithelial tissues are classified according to the shape of the cells and the number of cell layers formed. Cell shapes can be squamous (flattened and thin), cuboidal (square-like, as wide as it is tall), or columnar (rectangular, taller than it is wide). Additionally, the nucleus shape helps identify the type of epithelial cells. Squamous cells have flattened disc-shaped nuclei, cuboidal cells have spherical nuclei, and columnar cells have elongated nuclei.
Based on the number of cell layers,...

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Related Experiment Video

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Organoid-Derived Epithelial Monolayer: A Clinically Relevant In Vitro Model for Intestinal Barrier Function
09:40

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Published on: July 29, 2021

Continuum approximations of individual-based models for epithelial monolayers.

J A Fozard1, H M Byrne, O E Jensen

  • 1School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK. john.fozard@maths.nottingham.ac.uk

Mathematical Medicine and Biology : a Journal of the IMA
|July 21, 2009
PubMed
Summary

This study introduces a 1D individual-based model (IBM) for cell systems, revealing history-dependent pressure-length relationships in continuum approximations for viscous cells. This model aids in understanding cell growth and wound healing dynamics.

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Preparation and Structural Evaluation of Epithelial Cell Monolayers in a Physiologically Sized Microfluidic Culture Device
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Preparation and Structural Evaluation of Epithelial Cell Monolayers in a Physiologically Sized Microfluidic Culture Device

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Area of Science:

  • Biophysics
  • Mathematical Biology
  • Cellular Mechanics

Background:

  • Epithelial monolayers exhibit complex mechanical behaviors.
  • Modeling cellular systems requires accurate representation of individual cell properties and interactions.
  • Understanding tissue dynamics is crucial for developmental biology and regenerative medicine.

Purpose of the Study:

  • To develop and analyze a 1D individual-based model (IBM) for adherent cells.
  • To approximate the IBM with continuum models and identify limitations and novel terms.
  • To investigate cell growth, tissue expansion, and wound healing phenomena.

Main Methods:

  • Formulation of a 1D individual-based model (IBM) using differential-algebraic equations derived from energy principles.
  • Approximation of the IBM by continuum models (partial differential equations) in the limit of large cell numbers (N).
  • Analysis of spatially periodic and slowly varying cell parameter cases, including cell growth dynamics.

Main Results:

  • Derived continuum models from the IBM, identifying history-dependent pressure-length relationships for viscous cells.
  • Identified convective derivative terms not typically found in continuum tissue models.
  • Quantified approximation errors for slowly varying and spatially periodic cell parameters.
  • Simulated cell aggregate expansion and analyzed wound edge acceleration.

Conclusions:

  • The IBM provides a robust framework for modeling adherent cell systems.
  • Continuum approximations require careful consideration of cell viscosity and spatial parameter variation.
  • The model offers insights into cell growth, tissue dynamics, and wound healing mechanisms.