Buckling of a growing tissue and the emergence of two-dimensional patterns☆
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O. Jensen | J. King | M. R. Nelson | J.R. King | M.R. Nelson | O.E. Jensen | John R. King | Oliver E. Jensen | M. R. Nelson
[1] D. Drasdo,et al. Buckling instabilities of one-layered growing tissues. , 2000, Physical review letters.
[2] Gary R. Mirams,et al. A hybrid approach to multi-scale modelling of cancer , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[3] C. M. Edwards,et al. Force localization in contracting cell layers. , 2011, Physical review letters.
[4] Richard Skalak,et al. Growth as A Finite Displacement Field , 1981 .
[5] John Ockendon,et al. Applied Solid Mechanics: Prologue , 2008 .
[6] L. Trefethen. Spectral Methods in MATLAB , 2000 .
[7] S. Karam. Lineage commitment and maturation of epithelial cells in the gut. , 1999, Frontiers in bioscience : a journal and virtual library.
[8] Jörg Schröder,et al. Buckling of Bars , 2011 .
[9] R K Jain,et al. Compatibility and the genesis of residual stress by volumetric growth , 1996, Journal of mathematical biology.
[10] H. Clevers,et al. Single Lgr5 stem cells build cryptvillus structures in vitro without a mesenchymal niche , 2009, Nature.
[11] Julian Lewis,et al. Organizing cell renewal in the intestine: stem cells, signals and combinatorial control , 2006, Nature Reviews Genetics.
[12] L. Taber. Biomechanics of Growth, Remodeling, and Morphogenesis , 1995 .
[13] T. Kármán. Festigkeitsprobleme im Maschinenbau , 1907 .
[14] T. Kármán. The engineer grapples with nonlinear problems , 1940 .
[15] D'arcy W. Thompson. On growth and form i , 1943 .
[16] O. Jensen,et al. An asymptotic analysis of the buckling of a highly shear-resistant vesicle , 2009, European Journal of Applied Mathematics.
[17] D. Carlson,et al. Proceedings of the IUTAM Symposium on Finite Elasticity: "Held at Lehigh University, Bethlehem, PA, USA August 10-15, 1980" , 2011 .
[18] Wojciech Pawlina,et al. Histology : a text and atlas with cell and molecular biology , 2003 .
[19] M. Loeffler,et al. Intestinal Cell Proliferation. I. A Comprehensive Model of Steady‐State Proliferation In the Crypt , 1986, Cell and tissue kinetics.
[20] Peter V. E. McClintock,et al. Pattern formation : an introduction to methods. , 2006 .
[21] Fei Jia,et al. Anisotropic growth shapes intestinal tissues during embryogenesis , 2013, Proceedings of the National Academy of Sciences.
[22] R. W. Cox,et al. The velocity field of growing ear cartilage. , 1978, Journal of anatomy.
[23] C. Potten,et al. Early cellular events in colorectal carcinogenesis , 2002, Colorectal disease : the official journal of the Association of Coloproctology of Great Britain and Ireland.
[24] V. Caviness,et al. Mechanical model of brain convolutional development. , 1975, Science.
[25] M. R. Nelson. Biomechanical modelling of colorectal crypt formation and in-vitro replication , 2011 .
[26] J. Hutchinson,et al. Buckling of Bars, Plates and Shells , 1975 .
[27] Stefan Bilbao,et al. A family of conservative finite difference schemes for the dynamical von Karman plate equations , 2008 .
[28] Charles R. Steele,et al. Shell Stability Related to Pattern Formation in Plants , 2000 .
[29] H. Byrne,et al. Crypt dynamics and colorectal cancer: advances in mathematical modelling , 2006, Cell proliferation.
[30] D. Discher,et al. Matrix Elasticity, Cytoskeletal Tension, and TGF-β: The Insoluble and Soluble Meet , 2008, Science Signaling.
[31] Benjamin M. Wu,et al. Scaffold fabrication by indirect three-dimensional printing. , 2005, Biomaterials.
[32] G. Arfken. Mathematical Methods for Physicists , 1967 .
[33] M. Antoniotti,et al. A review of spatial computational models for multi-cellular systems, with regard to intestinal crypts and colorectal cancer development , 2013, Journal of mathematical biology.
[34] Shashi K Murthy,et al. Influence of micro-well biomimetic topography on intestinal epithelial Caco-2 cell phenotype. , 2009, Biomaterials.
[35] C. M. Edwards,et al. Biomechanical Modelling of Colorectal Crypt Budding and Fission , 2007, Bulletin of mathematical biology.
[36] A. McCulloch,et al. Stress-dependent finite growth in soft elastic tissues. , 1994, Journal of biomechanics.
[37] P. B. Green,et al. Phyllotactic Patterns: A Biophysical Mechanism for their Origin , 1996 .
[38] C. Calladine,et al. The mechanics of axially symmetric liposomes. , 1993, Journal of biomechanical engineering.
[39] Hans Clevers,et al. On the biomechanics of stem cell niche formation in the gut – modelling growing organoids , 2012, The FEBS journal.
[40] R W Cox,et al. The growth of elastic cartilage. , 1979, Journal of anatomy.
[41] Alain Goriely,et al. Elastic Growth Models , 2008 .
[42] B. Audoly,et al. Buckling of a stiff film bound to a compliant substrate—Part I:: Formulation, linear stability of cylindrical patterns, secondary bifurcations , 2008 .
[43] Lei Zhang,et al. A reaction–diffusion mechanism influences cell lineage progression as a basis for formation, regeneration, and stability of intestinal crypts , 2012, BMC Systems Biology.
[44] O. Jensen,et al. BUCKLING OF AN AXISYMMETRIC VESICLE UNDER COMPRESSION : THE EFFECTS OF RESISTANCE TO SHEAR , 2007 .
[45] Elizabeth E. Hoskins,et al. Directed differentiation of human pluripotent stem cells into intestinal tissue in vitro , 2010, Nature.
[46] John R. King,et al. Growth-induced buckling of an epithelial layer , 2011, Biomechanics and modeling in mechanobiology.
[47] A. Boudaoud,et al. The Buckling of a Swollen Thin Gel Layer Bound to a Compliant Substrate , 2007, cond-mat/0701640.
[48] Hans Clevers,et al. Self-Renewal and Cancer of the Gut: Two Sides of a Coin , 2005, Science.
[49] Jacques Prost,et al. Undulation instability of epithelial tissues. , 2011, Physical review letters.
[50] 新井 富生. Morphometrical and cell kinetic studies of normal human colorectal mucosa : comparison between the proximal and distal large intestine , 1988 .
[51] Pasquale Ciarletta,et al. Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit , 2009 .
[52] J. Humphrey. Continuum biomechanics of soft biological tissues , 2003 .
[53] E. Leriche,et al. Stokes eigenmodes in square domain and the stream function-vorticity correlation , 2004 .
[54] L. Mahadevan,et al. Nested self-similar wrinkling patterns in skins , 2005, Nature materials.
[55] M. Sporn,et al. TGF-beta expression in the human colon: differential immunostaining along crypt epithelium. , 1993, British Journal of Cancer.
[56] Gary R. Mirams,et al. An integrative computational model for intestinal tissue renewal , 2009, Cell proliferation.
[57] S. MacNeil,et al. Co-culture of intestinal epithelial and stromal cells in 3D collagen-based environments. , 2009, Regenerative medicine.
[58] T. Arai,et al. Morphometrical and Cell Kinetic Studies of Normal Human Colorectal Mucosa , 1989, Acta pathologica japonica.
[59] J. Joanny,et al. Instabilities of monolayered epithelia: shape and structure of villi and crypts. , 2011, Physical review letters.
[60] C. P. Winlove,et al. The deformation of spherical vesicles with permeable, constant-area membranes: application to the red blood cell. , 1999, Biophysical journal.
[61] Jay D. Humphrey,et al. Review Paper: Continuum biomechanics of soft biological tissues , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[62] J. Dumais. Can mechanics control pattern formation in plants? , 2007, Current opinion in plant biology.
[63] Hans Clevers,et al. The intestinal stem cell. , 2008, Genes & development.
[64] M. Loeffler,et al. Cell migration and organization in the intestinal crypt using a lattice‐free model , 2001, Cell proliferation.
[65] U. Paulus,et al. Intestinal Crypt Proliferation. Ii. Computer Modelling of Mitotic Index Data Provides Further Evidence For Lateral and Vertical Cell Migration In the Absence of Mitotic Activity , 1988, Cell and tissue kinetics.