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Abstract

A theoretical model is presented for pattern formation in an epithelium. The epithelial model consists of a thin, incompressible, viscoelastic membrane on an elastic foundation (substrate), with the component cells assumed to have active contractile properties similar to those of smooth muscle. The analysis includes the effects of large strains and material nonlinearity, and the governing equations were solved using finite differences. Deformation patterns form when the cells activate while lying on the descending limb of their total (active + passive) stress-stretch curve. Various one-dimensional and two-dimensional simulations illustrate the effects of spatial and temporal variations in passive stiffness, as well as the effects of foundation stiffness and stretch activation. The model can be used to examine the mechanical aspects of pattern formation in morphogenetic processes such as angiogenesis and myocardial trabeculation.[PUBLICATION ABSTRACT]

Details

Subject
Title
Pattern Formation in a Nonlinear Membrane Model for Epithelial Morphogenesis
Publication title
Volume
48
Issue
1
Pages
47-63
Publication year
2000
Publication date
Mar 2000
Publisher
Springer Nature B.V.
Place of publication
Leiden
Country of publication
Netherlands
Publication subject
ISSN
0001-5342
e-ISSN
1572-8358
Source type
Scholarly Journal
Language of publication
English
Document type
Feature
ProQuest document ID
776890502
Document URL
https://www.proquest.com/scholarly-journals/pattern-formation-nonlinear-membrane-model/docview/776890502/se-2?accountid=208611
Copyright
Kluwer Academic Publishers 2000
Last updated
2023-11-18
Database
ProQuest One Academic