A mechanical model for the formation of vascular networks in vitro

Acta Biotheoretica
D ManoussakiJ D Murray

Abstract

Endothelial cells, when cultured on gelled basement membrane matrix exert forces of tension through which they deform the matrix and at the same time they aggregate into clusters. The cells eventually form a network of cord-like structures connecting cell aggregates. In this network, almost all of the matrix has been pulled underneath the cell cords and cell clusters. This phenomenon has been proposed as a possible model for the growth and development of planar vascular systems in vitro. Our hypothesis is that the matrix is reorganized and the cellular networks form as a result of traction forces exerted by the cells on the matrix and the latter's elasticity. We construct and analyze a mathematical model based on this hypothesis and examine conditions necessary for the formation of the pattern. We show cell migration is not necessary for pattern formation and that isotropic, strain-stimulated traction is sufficient to form the observed patterns.

References

Mar 1, 1974·Journal of Biomechanics·Y Lanir, Y C Fung
Jan 1, 1983·Journal of Biomechanics·Y Lanir
Jan 1, 1983·Journal of Mathematical Biology·J D MurrayA K Harris

❮ Previous
Next ❯

Citations

Nov 30, 2005·Biomechanics and Modeling in Mechanobiology·Jeffrey S BlatnikLanping Amy Sung
Feb 24, 2007·Biomechanics and Modeling in Mechanobiology·Ashok Ramasubramanian, Larry A Taber
Sep 29, 2007·Biomechanics and Modeling in Mechanobiology·Xiaohai WanSharon R Lubkin
Oct 3, 2007·Biomechanics and Modeling in Mechanobiology·Larry A Taber
Jul 4, 2006·Bulletin of Mathematical Biology·A TosinL Preziosi
Mar 16, 2013·Bulletin of Mathematical Biology·Josephine T Daub, Roeland M H Merks
Nov 4, 2004·Bulletin of Mathematical Biology·D AmbrosiG Serini
Feb 19, 2004·Journal of Theoretical Biology·Patrick NamyPhilippe Tracqui
Oct 24, 1998·Progress in Biophysics and Molecular Biology·L A Taber
Apr 1, 2000·Comptes rendus de l'Académie des sciences. Série III, Sciences de la vie·J D Murray
Apr 1, 2000·Comptes rendus de l'Académie des sciences. Série III, Sciences de la vie·L Tranqui, P Tracqui
Apr 21, 2012·Computer Methods in Biomechanics and Biomedical Engineering·Lowell T EdgarJeffrey A Weiss
Mar 11, 2004·Tissue Engineering·Laxminarayanan KrishnanJames B Hoying
May 6, 2008·Tissue Engineering. Part B, Reviews·Megan E FrancisEric M Brey
Nov 30, 2011·TheScientificWorldJournal·Diego GuidolinGiovanna Albertin
Jan 26, 1999·Annals of the New York Academy of Sciences·C J DrakeC D Little
Aug 7, 2012·Genes & Cancer·Andras CzirokCharles D Little
Sep 20, 2008·PLoS Computational Biology·Roeland M H MerksJames A Glazier
Aug 21, 2012·World Journal of Biological Chemistry·Luca Munaron, Marco Scianna
Feb 19, 2010·Mathematical Modelling of Natural Phenomena·A Szabó, A Czirók
Sep 17, 2004·Endothelium : Journal of Endothelial Cell Research·J DyeP Clark
Dec 23, 2015·International Journal of Molecular Sciences·Shunto Arai
Dec 25, 2010·Computer Methods and Programs in Biomedicine·J C Vanegas-AcostaM C Casale R
May 3, 2011·Journal of the Mechanics and Physics of Solids·D AmbrosiK Garikipati
Jun 24, 2008·Biophysical Journal·Andras SzaboAndras Czirok
Jul 21, 2009·Developmental Dynamics : an Official Publication of the American Association of Anatomists·Diego GuidolinDomenico Ribatti
Jun 14, 2012·Birth Defects Research. Part C, Embryo Today : Reviews·Andras Czirok, Charles D Little
Jun 14, 2012·Birth Defects Research. Part C, Embryo Today : Reviews·Matthew A WyczalkowskiLarry A Taber
Jul 17, 2013·Wiley Interdisciplinary Reviews. Systems Biology and Medicine·Andras Czirok
May 21, 2013·Journal of Theoretical Biology·M SciannaL Preziosi
Jul 12, 2001·Annual Review of Biomedical Engineering·L A Taber
Jun 18, 2014·Stem Cell Reports·Ahmed Gamal-Eldin IbrahimEduardo Marbán
Jul 1, 2008·Biophysical Journal·Florian MildePetros Koumoutsakos
Dec 6, 2005·Developmental Biology·Roeland M H MerksJames A Glazier
Jan 21, 2000·Journal of Theoretical Biology·M J Holmes, B D Sleeman
Aug 15, 2014·PLoS Computational Biology·René F M van OersRoeland M H Merks
Jun 27, 2017·Journal of Theoretical Biology·Daiki SasakiTakashi Miura
May 6, 2017·Developmental Dynamics : an Official Publication of the American Association of Anatomists·Raphaël ClémentAnnemiek J M Cornelissen
Feb 24, 2001·Journal of Biomechanical Engineering·S C Cowin

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.