Cell shapes and patterns as quantitative indicators of tissue stress in the plant epidermis

Sangwoo Kim, Sascha Hilgenfeldt

Research output: Contribution to journalArticle

Abstract

In a confluent, single-cell tissue layer, we show that cell shapes and statistics correlate directly with the tissue's mechanical properties, described by an energy functional with generic interfacial terms only. Upon increasing the cohesive component of the model, we observe a clear transition from a tense state with isotropic cells to a relaxed state with anisotropic cells. Signatures of the transition are present in the interfacial mechanics, the domain geometry, and the domain statistics, thus linking all three fields of study. This transition persists for all cell size distributions, but its exact position is crucially dependent on fluctuations in the parameter values of the functional (quenched disorder). The magnitude of fluctuations can be matched to the observed shape distribution of cells, so that visual observation of cell shapes and statistics provides information about the mechanical state of the tissue. Comparing with experimental data from the Cucumis epidermis, we find that the system is located right at the transition, allowing the tissue to relieve most of the local stress while maintaining integrity.

Original languageEnglish (US)
Pages (from-to)7270-7275
Number of pages6
JournalSoft Matter
Volume11
Issue number37
DOIs
StatePublished - Aug 4 2015

Fingerprint

epidermis
Tissue
Statistics
cells
statistics
Mechanics
visual observation
Mechanical properties
Geometry
integrity
signatures
disorders
mechanical properties
geometry

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

Cell shapes and patterns as quantitative indicators of tissue stress in the plant epidermis. / Kim, Sangwoo; Hilgenfeldt, Sascha.

In: Soft Matter, Vol. 11, No. 37, 04.08.2015, p. 7270-7275.

Research output: Contribution to journalArticle

@article{e8a93d5021ee4a3ba8ccbb98be215eba,
title = "Cell shapes and patterns as quantitative indicators of tissue stress in the plant epidermis",
abstract = "In a confluent, single-cell tissue layer, we show that cell shapes and statistics correlate directly with the tissue's mechanical properties, described by an energy functional with generic interfacial terms only. Upon increasing the cohesive component of the model, we observe a clear transition from a tense state with isotropic cells to a relaxed state with anisotropic cells. Signatures of the transition are present in the interfacial mechanics, the domain geometry, and the domain statistics, thus linking all three fields of study. This transition persists for all cell size distributions, but its exact position is crucially dependent on fluctuations in the parameter values of the functional (quenched disorder). The magnitude of fluctuations can be matched to the observed shape distribution of cells, so that visual observation of cell shapes and statistics provides information about the mechanical state of the tissue. Comparing with experimental data from the Cucumis epidermis, we find that the system is located right at the transition, allowing the tissue to relieve most of the local stress while maintaining integrity.",
author = "Sangwoo Kim and Sascha Hilgenfeldt",
year = "2015",
month = "8",
day = "4",
doi = "10.1039/c5sm01563d",
language = "English (US)",
volume = "11",
pages = "7270--7275",
journal = "Soft Matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "37",

}

TY - JOUR

T1 - Cell shapes and patterns as quantitative indicators of tissue stress in the plant epidermis

AU - Kim, Sangwoo

AU - Hilgenfeldt, Sascha

PY - 2015/8/4

Y1 - 2015/8/4

N2 - In a confluent, single-cell tissue layer, we show that cell shapes and statistics correlate directly with the tissue's mechanical properties, described by an energy functional with generic interfacial terms only. Upon increasing the cohesive component of the model, we observe a clear transition from a tense state with isotropic cells to a relaxed state with anisotropic cells. Signatures of the transition are present in the interfacial mechanics, the domain geometry, and the domain statistics, thus linking all three fields of study. This transition persists for all cell size distributions, but its exact position is crucially dependent on fluctuations in the parameter values of the functional (quenched disorder). The magnitude of fluctuations can be matched to the observed shape distribution of cells, so that visual observation of cell shapes and statistics provides information about the mechanical state of the tissue. Comparing with experimental data from the Cucumis epidermis, we find that the system is located right at the transition, allowing the tissue to relieve most of the local stress while maintaining integrity.

AB - In a confluent, single-cell tissue layer, we show that cell shapes and statistics correlate directly with the tissue's mechanical properties, described by an energy functional with generic interfacial terms only. Upon increasing the cohesive component of the model, we observe a clear transition from a tense state with isotropic cells to a relaxed state with anisotropic cells. Signatures of the transition are present in the interfacial mechanics, the domain geometry, and the domain statistics, thus linking all three fields of study. This transition persists for all cell size distributions, but its exact position is crucially dependent on fluctuations in the parameter values of the functional (quenched disorder). The magnitude of fluctuations can be matched to the observed shape distribution of cells, so that visual observation of cell shapes and statistics provides information about the mechanical state of the tissue. Comparing with experimental data from the Cucumis epidermis, we find that the system is located right at the transition, allowing the tissue to relieve most of the local stress while maintaining integrity.

UR - http://www.scopus.com/inward/record.url?scp=84942155816&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942155816&partnerID=8YFLogxK

U2 - 10.1039/c5sm01563d

DO - 10.1039/c5sm01563d

M3 - Article

VL - 11

SP - 7270

EP - 7275

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 37

ER -