The role of mechanics in the growth and homeostasis of the intestinal crypt.

Biomechanics and Modeling in Mechanobiology
Axel A AlmetD E Moulton

Abstract

We present a mechanical model of tissue homeostasis that is specialised to the intestinal crypt. Growth and deformation of the crypt, idealised as a line of cells on a substrate, are modelled using morphoelastic rod theory. Alternating between Lagrangian and Eulerian mechanical descriptions enables us to precisely characterise the dynamic nature of tissue homeostasis, whereby the proliferative structure and morphology are static in the Eulerian frame, but there is active migration of Lagrangian material points out of the crypt. Assuming mechanochemical growth, we identify the necessary conditions for homeostasis, reducing the full, time-dependent system to a static boundary value problem characterising a spatially heterogeneous "treadmilling" state. We extract essential features of crypt homeostasis, such as the morphology, the proliferative structure, the migration velocity, and the sloughing rate. We also derive closed-form solutions for growth and sloughing dynamics in homeostasis, and show that mechanochemical growth is sufficient to generate the observed proliferative structure of the crypt. Key to this is the concept of threshold-dependent mechanical feedback, that regulates an established Wnt signal for biochemical growt...Continue Reading

References

Jan 10, 2002·BioEssays : News and Reviews in Molecular, Cellular and Developmental Biology·Emma MarshmanChristopher S Potten
Nov 5, 2003·The Journal of Clinical Investigation·Robert W TaylorDouglass M Turnbull
Mar 16, 2004·Science·Anna-Pavlina G HaramisHans Clevers
Jun 17, 2004·Genes & Development·Owen J SansomDouglas J Winton
Sep 7, 2004·The International Journal of Developmental Biology·Claudia Gaspar, Riccardo Fodde
Feb 25, 2005·Proceedings of the National Academy of Sciences of the United States of America·Boris I Shraiman
Apr 20, 2007·Bulletin of Mathematical Biology·Carina M Edwards, S Jonathan Chapman
Sep 21, 2007·Bulletin of Mathematical Biology·E J CrampinP K Maini
May 16, 2008·Nature Reviews. Cancer·Adam Humphries, Nicholas A Wright
Dec 26, 2008·Proceedings of the National Academy of Sciences of the United States of America·Hiroshi SenoThaddeus S Stappenbeck
Aug 7, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Larry A Taber
Dec 31, 2010·Biomechanics and Modeling in Mechanobiology·M R NelsonS L Waters
Mar 27, 2013·Proceedings of the National Academy of Sciences of the United States of America·Régis ChiratAlain Goriely
Jun 8, 2013·Science·Charlène Guillot, Thomas Lecuit
Nov 22, 2014·Nature Reviews. Molecular Cell Biology·Caroline BonnansZena Werb
Aug 12, 2015·Cold Spring Harbor Perspectives in Biology·Loïc LeGoff, Thomas Lecuit
Jan 12, 2016·Philosophical Magazine : Structure and Properties of Condensed Matter·Silvia BuddayJohn W Hutchinson
Feb 14, 2017·PLoS Computational Biology·James M OsborneDavid J Gavaghan
Aug 25, 2017·Stem Cells International·Laween MeranVivian S W Li
Jan 18, 2018·Physical Review Letters·Giuseppe Zurlo, Lev Truskinovsky
Apr 25, 2018·Developmental Cell·Kaelyn D SumigrayTerry Lechler
Sep 13, 2018·Journal of Mathematical Biology·Axel A AlmetDerek E Moulton
Sep 23, 2018·Bulletin of Mathematical Biology·Alexander ErlichAlain Goriely
Nov 16, 2018·Nature Reviews. Gastroenterology & Hepatology·Helmuth Gehart, Hans Clevers
Feb 15, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Rami Abi-AklTal Cohen
Jun 20, 2019·Physical Review. E·Lev Truskinovsky, Giuseppe Zurlo
Aug 17, 2019·Science·Denis KrndijaDanijela Matic Vignjevic
Jan 16, 2020·Journal of the Royal Society, Interface·Andrew L KrauseEamonn A Gaffney
Jan 21, 2020·Advanced Healthcare Materials·Ella A HushkaKristi S Anseth
Jul 28, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Li ChenAnna Zhigun

❮ Previous
Next ❯

Related Concepts

Related Feeds

Cell Migration

Cell migration is involved in a variety of physiological and pathological processes such as embryonic development, cancer metastasis, blood vessel formation and remoulding, tissue regeneration, immune surveillance and inflammation. Here is the latest research.