Hydrodynamics of shape-driven rigidity transitions in motile tissues

Michael Czajkowski, Dapeng Bi, Mary Elizabeth Manning, M Cristina Marchetti

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell polarization and motility might be governed by the internal shear stiffness of nearby tissue, deemed "plithotaxis". Meanwhile, other work has demonstrated that there is a direct relationship between cell shapes and tissue shear modulus in confluent tissues. Joining these two ideas, we develop a hydrodynamic model that couples cell shape, and therefore tissue stiffness, to cell motility and polarization. Using linear stability analysis and numerical simulations, we find that tissue behavior can be tuned between largely homogeneous states and patterned states such as asters, controlled by a composite "morphotaxis" parameter that encapsulates the nature of the coupling between shape and polarization. The control parameter is in principle experimentally accessible, and depends both on whether a cell tends to move in the direction of lower or higher shear modulus, and whether sinks or sources of polarization tend to fluidize the system.

Original languageEnglish (US)
Pages (from-to)5628-5642
Number of pages15
JournalSoft Matter
Volume14
Issue number27
DOIs
StatePublished - Jan 1 2018

Fingerprint

rigidity
Rigidity
Hydrodynamics
hydrodynamics
Tissue
cells
Polarization
locomotion
polarization
shear
stiffness
Elastic moduli
Stiffness
Linear stability analysis
cues
sinks
Joining
composite materials
Computer simulation
Composite materials

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

Hydrodynamics of shape-driven rigidity transitions in motile tissues. / Czajkowski, Michael; Bi, Dapeng; Manning, Mary Elizabeth; Marchetti, M Cristina.

In: Soft Matter, Vol. 14, No. 27, 01.01.2018, p. 5628-5642.

Research output: Contribution to journalArticle

Czajkowski, Michael ; Bi, Dapeng ; Manning, Mary Elizabeth ; Marchetti, M Cristina. / Hydrodynamics of shape-driven rigidity transitions in motile tissues. In: Soft Matter. 2018 ; Vol. 14, No. 27. pp. 5628-5642.
@article{d128b9d9f2bf4e02949db6d86436d3b8,
title = "Hydrodynamics of shape-driven rigidity transitions in motile tissues",
abstract = "In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell polarization and motility might be governed by the internal shear stiffness of nearby tissue, deemed {"}plithotaxis{"}. Meanwhile, other work has demonstrated that there is a direct relationship between cell shapes and tissue shear modulus in confluent tissues. Joining these two ideas, we develop a hydrodynamic model that couples cell shape, and therefore tissue stiffness, to cell motility and polarization. Using linear stability analysis and numerical simulations, we find that tissue behavior can be tuned between largely homogeneous states and patterned states such as asters, controlled by a composite {"}morphotaxis{"} parameter that encapsulates the nature of the coupling between shape and polarization. The control parameter is in principle experimentally accessible, and depends both on whether a cell tends to move in the direction of lower or higher shear modulus, and whether sinks or sources of polarization tend to fluidize the system.",
author = "Michael Czajkowski and Dapeng Bi and Manning, {Mary Elizabeth} and Marchetti, {M Cristina}",
year = "2018",
month = "1",
day = "1",
doi = "10.1039/c8sm00446c",
language = "English (US)",
volume = "14",
pages = "5628--5642",
journal = "Soft Matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "27",

}

TY - JOUR

T1 - Hydrodynamics of shape-driven rigidity transitions in motile tissues

AU - Czajkowski, Michael

AU - Bi, Dapeng

AU - Manning, Mary Elizabeth

AU - Marchetti, M Cristina

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell polarization and motility might be governed by the internal shear stiffness of nearby tissue, deemed "plithotaxis". Meanwhile, other work has demonstrated that there is a direct relationship between cell shapes and tissue shear modulus in confluent tissues. Joining these two ideas, we develop a hydrodynamic model that couples cell shape, and therefore tissue stiffness, to cell motility and polarization. Using linear stability analysis and numerical simulations, we find that tissue behavior can be tuned between largely homogeneous states and patterned states such as asters, controlled by a composite "morphotaxis" parameter that encapsulates the nature of the coupling between shape and polarization. The control parameter is in principle experimentally accessible, and depends both on whether a cell tends to move in the direction of lower or higher shear modulus, and whether sinks or sources of polarization tend to fluidize the system.

AB - In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell polarization and motility might be governed by the internal shear stiffness of nearby tissue, deemed "plithotaxis". Meanwhile, other work has demonstrated that there is a direct relationship between cell shapes and tissue shear modulus in confluent tissues. Joining these two ideas, we develop a hydrodynamic model that couples cell shape, and therefore tissue stiffness, to cell motility and polarization. Using linear stability analysis and numerical simulations, we find that tissue behavior can be tuned between largely homogeneous states and patterned states such as asters, controlled by a composite "morphotaxis" parameter that encapsulates the nature of the coupling between shape and polarization. The control parameter is in principle experimentally accessible, and depends both on whether a cell tends to move in the direction of lower or higher shear modulus, and whether sinks or sources of polarization tend to fluidize the system.

UR - http://www.scopus.com/inward/record.url?scp=85049879526&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049879526&partnerID=8YFLogxK

U2 - 10.1039/c8sm00446c

DO - 10.1039/c8sm00446c

M3 - Article

VL - 14

SP - 5628

EP - 5642

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 27

ER -