Abstract

The cytoskeleton provides the mechanical scaffold and maintains the integrity of cells. It is usually believed that one type of cytoskeleton biopolymer, microtubules, bears compressive force. In vitro experiments found that isolated microtubules may form an Euler buckling pattern with a long-wavelength for very small compressive force. This, however, does not agree with in vivo experiments where microtubules buckle with a short-wavelength. In order to understand the structural role of microtubules in vivo, we developed mechanics models that study microtubule buckling supported by cytoplasm. The microtubule is modeled as a linearly elastic cylindrical tube while the cytoplasm is characterized by different types of materials, namely, viscous, elastic, or viscoelastic. The dynamic evolution equations, the fastest growth rate, the critical wavelength, and compressive force, as well as equilibrium buckling configurations are obtained. The ability for a cell to sustain compressive force does not solely rely on microtubules but is also supported by the elasticity of cytoplasm. With the support of the cytoplasm, an individual microtubule can sustain a compressive force on the order of 100 pN. The relatively stiff microtubules and compliant cytoplasm are combined to provide a scaffold for compressive force.

Original languageEnglish (US)
Pages (from-to)610191-610199
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Volume75
Issue number6
DOIs
StatePublished - Nov 2008

Fingerprint

cytoplasm
buckling
Buckling
Mechanics
Scaffolds
Wavelength
Biopolymers
Elasticity
Euler buckling
Experiments
wavelengths
biopolymers
bears
cells
integrity
elastic properties
tubes
configurations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Mechanics of microtubule buckling supported by cytoplasm. / Jiang, Hanqing; Zhang, Jiaping.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 75, No. 6, 11.2008, p. 610191-610199.

Research output: Contribution to journalArticle

@article{639d2b1951e44d01b7fb88598a91e7a4,
title = "Mechanics of microtubule buckling supported by cytoplasm",
abstract = "The cytoskeleton provides the mechanical scaffold and maintains the integrity of cells. It is usually believed that one type of cytoskeleton biopolymer, microtubules, bears compressive force. In vitro experiments found that isolated microtubules may form an Euler buckling pattern with a long-wavelength for very small compressive force. This, however, does not agree with in vivo experiments where microtubules buckle with a short-wavelength. In order to understand the structural role of microtubules in vivo, we developed mechanics models that study microtubule buckling supported by cytoplasm. The microtubule is modeled as a linearly elastic cylindrical tube while the cytoplasm is characterized by different types of materials, namely, viscous, elastic, or viscoelastic. The dynamic evolution equations, the fastest growth rate, the critical wavelength, and compressive force, as well as equilibrium buckling configurations are obtained. The ability for a cell to sustain compressive force does not solely rely on microtubules but is also supported by the elasticity of cytoplasm. With the support of the cytoplasm, an individual microtubule can sustain a compressive force on the order of 100 pN. The relatively stiff microtubules and compliant cytoplasm are combined to provide a scaffold for compressive force.",
author = "Hanqing Jiang and Jiaping Zhang",
year = "2008",
month = "11",
doi = "10.1115/1.2966216",
language = "English (US)",
volume = "75",
pages = "610191--610199",
journal = "Journal of Applied Mechanics, Transactions ASME",
issn = "0021-8936",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "6",

}

TY - JOUR

T1 - Mechanics of microtubule buckling supported by cytoplasm

AU - Jiang, Hanqing

AU - Zhang, Jiaping

PY - 2008/11

Y1 - 2008/11

N2 - The cytoskeleton provides the mechanical scaffold and maintains the integrity of cells. It is usually believed that one type of cytoskeleton biopolymer, microtubules, bears compressive force. In vitro experiments found that isolated microtubules may form an Euler buckling pattern with a long-wavelength for very small compressive force. This, however, does not agree with in vivo experiments where microtubules buckle with a short-wavelength. In order to understand the structural role of microtubules in vivo, we developed mechanics models that study microtubule buckling supported by cytoplasm. The microtubule is modeled as a linearly elastic cylindrical tube while the cytoplasm is characterized by different types of materials, namely, viscous, elastic, or viscoelastic. The dynamic evolution equations, the fastest growth rate, the critical wavelength, and compressive force, as well as equilibrium buckling configurations are obtained. The ability for a cell to sustain compressive force does not solely rely on microtubules but is also supported by the elasticity of cytoplasm. With the support of the cytoplasm, an individual microtubule can sustain a compressive force on the order of 100 pN. The relatively stiff microtubules and compliant cytoplasm are combined to provide a scaffold for compressive force.

AB - The cytoskeleton provides the mechanical scaffold and maintains the integrity of cells. It is usually believed that one type of cytoskeleton biopolymer, microtubules, bears compressive force. In vitro experiments found that isolated microtubules may form an Euler buckling pattern with a long-wavelength for very small compressive force. This, however, does not agree with in vivo experiments where microtubules buckle with a short-wavelength. In order to understand the structural role of microtubules in vivo, we developed mechanics models that study microtubule buckling supported by cytoplasm. The microtubule is modeled as a linearly elastic cylindrical tube while the cytoplasm is characterized by different types of materials, namely, viscous, elastic, or viscoelastic. The dynamic evolution equations, the fastest growth rate, the critical wavelength, and compressive force, as well as equilibrium buckling configurations are obtained. The ability for a cell to sustain compressive force does not solely rely on microtubules but is also supported by the elasticity of cytoplasm. With the support of the cytoplasm, an individual microtubule can sustain a compressive force on the order of 100 pN. The relatively stiff microtubules and compliant cytoplasm are combined to provide a scaffold for compressive force.

UR - http://www.scopus.com/inward/record.url?scp=55149089827&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=55149089827&partnerID=8YFLogxK

U2 - 10.1115/1.2966216

DO - 10.1115/1.2966216

M3 - Article

AN - SCOPUS:55149089827

VL - 75

SP - 610191

EP - 610199

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 6

ER -