Literature DB >> 8858855

Compatibility and the genesis of residual stress by volumetric growth.

R Skalak1, S Zargaryan, R K Jain, P A Netti, A Hoger.   

Abstract

The equations of compatibility which are pertinant for growth strain fields are collected and examples are given in simply-connected and multiply-connected regions. Compatibility conditions for infinitesimal strains are well known and the possibilities of Volterra dislocations in multiply-connected regions are enumerated. For finite growth strains in a multiply-connected regions, each case must be examined individually and no generalizations in terms of Volterra dislocations are available. Any incompatible growth strains give rise to residual stresses which are known to occur in many tissues such as the heart, arterial wall, and solid tumors.

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Year:  1996        PMID： 8858855     DOI： 10.1007/bf01834825

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  8 in total

1.  Kinematics of plant growth.

Authors:  W K Silk; R O Erickson
Journal:  J Theor Biol       Date:  1979-02-21       Impact factor: 2.691

2.  The history of some fundamental concepts in bone biomechanics.

Authors:  H Roesler
Journal:  J Biomech       Date:  1987       Impact factor: 2.712

3.  Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure.

Authors:  R K Jain; L T Baxter
Journal:  Cancer Res       Date:  1988-12-15       Impact factor: 12.701

4.  Stress-dependent finite growth in soft elastic tissues.

Authors:  E K Rodriguez; A Hoger; A D McCulloch
Journal:  J Biomech       Date:  1994-04       Impact factor: 2.712

Review 5.  Bone stress adaptation models.

Authors:  S C Cowin
Journal:  J Biomech Eng       Date:  1993-11       Impact factor: 2.097

Review 6.  Barriers to drug delivery in solid tumors.

Authors:  R K Jain
Journal:  Sci Am       Date:  1994-07       Impact factor: 2.142

7.  Interstitial pressure gradients in tissue-isolated and subcutaneous tumors: implications for therapy.

Authors:  Y Boucher; L T Baxter; R K Jain
Journal:  Cancer Res       Date:  1990-08-01       Impact factor: 12.701

8.  Microvascular pressure is the principal driving force for interstitial hypertension in solid tumors: implications for vascular collapse.

Authors:  Y Boucher; R K Jain
Journal:  Cancer Res       Date:  1992-09-15       Impact factor: 12.701
  8 in total
  31 in total

1.  The role of stress in the growth of a multicell spheroid.

Authors:  D Ambrosi; F Mollica
Journal:  J Math Biol       Date:  2003-12-02       Impact factor: 2.259

Review 2.  Multiscale models in the biomechanics of plant growth.

Authors:  Oliver E Jensen; John A Fozard
Journal:  Physiology (Bethesda)       Date:  2015-03

3.  The interplay between tissue growth and scaffold degradation in engineered tissue constructs.

Authors:  R D O'Dea; J M Osborne; A J El Haj; H M Byrne; S L Waters
Journal:  J Math Biol       Date:  2012-09-18       Impact factor: 2.259

4.  Causes, consequences, and remedies for growth-induced solid stress in murine and human tumors.

Authors:  Triantafyllos Stylianopoulos; John D Martin; Vikash P Chauhan; Saloni R Jain; Benjamin Diop-Frimpong; Nabeel Bardeesy; Barbara L Smith; Cristina R Ferrone; Francis J Hornicek; Yves Boucher; Lance L Munn; Rakesh K Jain
Journal:  Proc Natl Acad Sci U S A       Date:  2012-08-29       Impact factor: 11.205

5.  Perspectives on biological growth and remodeling.

Authors:  D Ambrosi; G A Ateshian; E M Arruda; S C Cowin; J Dumais; A Goriely; G A Holzapfel; J D Humphrey; R Kemkemer; E Kuhl; J E Olberding; L A Taber; K Garikipati
Journal:  J Mech Phys Solids       Date:  2011-04-01       Impact factor: 5.471

6.  Experimental and computational analyses reveal dynamics of tumor vessel cooption and optimal treatment strategies.

Authors:  Chrysovalantis Voutouri; Nathaniel D Kirkpatrick; Euiheon Chung; Fotios Mpekris; James W Baish; Lance L Munn; Dai Fukumura; Triantafyllos Stylianopoulos; Rakesh K Jain
Journal:  Proc Natl Acad Sci U S A       Date:  2019-01-30       Impact factor: 11.205

7.  Biomechanical modelling of spinal tumour anisotropic growth.

Authors:  Ioanna Katsamba; Pavlos Evangelidis; Chrysovalantis Voutouri; Alkiviadis Tsamis; Vasileios Vavourakis; Triantafyllos Stylianopoulos
Journal:  Proc Math Phys Eng Sci       Date:  2020-06-03       Impact factor: 2.704

8.  A phenomenological model for mechanically mediated growth, remodeling, damage, and plasticity of gel-derived tissue engineered blood vessels.

Authors:  Julia Raykin; Alexander I Rachev; Rudolph L Gleason
Journal:  J Biomech Eng       Date:  2009-10       Impact factor: 2.097

9.  A Coupled Mass Transport and Deformation Theory of Multi-constituent Tumor Growth.

Authors:  Danial Faghihi; Xinzeng Feng; Ernesto A B F Lima; J Tinsley Oden; Thomas E Yankeelov
Journal:  J Mech Phys Solids       Date:  2020-03-14       Impact factor: 5.471

10.  Interstitial growth and remodeling of biological tissues: tissue composition as state variables.

Authors:  Kristin Myers; Gerard A Ateshian
Journal:  J Mech Behav Biomed Mater       Date:  2013-03-15
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