On the biomechanics of stem cell niche formation in the gut – modelling growing organoids

In vitro culture of intestinal tissue has been attempted for decades. Only recently did Sato et al. [Sato, T., Vries, R. G., Snippert, H. J., van de Wetering, M., Barker, N., Stange, D. E., van Es, J. H., Abo, A., Kujala, P., Peters, P. J., et al. (2009) Nature459, 262–265] succeed in establishing long‐term intestinal culture, demonstrating that cells expressing the Lgr5 gene can give rise to organoids with crypt‐like domains similar to those found in vivo. In these cultures, Paneth cells provide essential signals supporting stem cell function. We have recently developed an individual cell‐based computational model of the intestinal tissue [Buske, P., Galle, J., Barker, N., Aust, G., Clevers, H. & Loeffler, M. (2011) PLoS Comput Biol7, e1001045]. The model is capable of quantitatively reproducing a comprehensive set of experimental data on intestinal cell organization. Here, we present a significant extension of this model that allows simulation of intestinal organoid formation in silico. For this purpose, we introduce a flexible basal membrane that assigns a bending modulus to the organoid surface. This membrane may be re‐organized by cells attached to it depending on their differentiation status. Accordingly, the morphology of the epithelium is self‐organized. We hypothesize that local tissue curvature is a key regulatory factor in stem cell organization in the intestinal tissue by controlling Paneth cell specification. In simulation studies, our model closely resembles the spatio‐temporal organization of intestinal organoids. According to our results, proliferation‐induced shape fluctuations are sufficient to induce crypt‐like domains, and spontaneous tissue curvature induced by Paneth cells can control cell number ratios. Thus, stem cell expansion in an organoid depends sensitively on its biomechanics. We suggest a number of experiments that will enable new insights into mechano‐transduction in the intestine, and suggest model extensions in the field of gland formation.

[1]  J. Beaulieu,et al.  Integrins as mediators of epithelial cell‐matrix interactions in the human small intestinal mucosa , 2000, Microscopy research and technique.

[2]  M. Loeffler,et al.  Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro. , 2005, Biophysical journal.

[3]  Inke Näthke,et al.  Cytoskeleton out of the cupboard: colon cancer and cytoskeletal changes induced by loss of APC , 2006, Nature Reviews Cancer.

[4]  F. Eulderink,et al.  Paneth cell‐rich carcinoma of the stomach , 1989, Histopathology.

[5]  David Sprinzak,et al.  Mutual Inactivation of Notch Receptors and Ligands Facilitates Developmental Patterning , 2011, PLoS Comput. Biol..

[6]  P. Janmey,et al.  Elasticity of semiflexible biopolymer networks. , 1995, Physical review letters.

[7]  D. E. Discher,et al.  Matrix elasticity directs stem cell lineage — Soluble factors that limit osteogenesis , 2009 .

[8]  Cynthia A. Reinhart-King,et al.  Tensional homeostasis and the malignant phenotype. , 2005, Cancer cell.

[9]  Hans Clevers,et al.  Paneth cells constitute the niche for Lgr5 stem cells in intestinal crypts , 2011, Nature.

[10]  C. Rubio Paneth cell adenoma of the ileum. , 2004, Anticancer research.

[11]  R. Lipowsky,et al.  Stretching of semiflexible polymers with elastic bonds , 2004, The European physical journal. E, Soft matter.

[12]  J. Beaulieu,et al.  Differential expression of the integrins α6Aβ4 and α6Bβ4 along the crypt–villus axis in the human small intestine , 2009, Histochemistry and Cell Biology.

[13]  Mina J. Bissell,et al.  Extracellular matrix control of mammary gland morphogenesis and tumorigenesis: insights from imaging , 2008, Histochemistry and Cell Biology.

[14]  Donald E Ingber,et al.  Control of basement membrane remodeling and epithelial branching morphogenesis in embryonic lung by Rho and cytoskeletal tension , 2005, Developmental dynamics : an official publication of the American Association of Anatomists.

[15]  J. C. Hsu,et al.  Dynamics of Salivary Gland Morphogenesis , 2011, Journal of dental research.

[16]  Donald E Ingber,et al.  Cell tension, matrix mechanics, and cancer development. , 2005, Cancer cell.

[17]  D. Drasdo,et al.  Buckling instabilities of one-layered growing tissues. , 2000, Physical review letters.

[18]  Hans Clevers,et al.  The intestinal stem cell. , 2008, Genes & development.

[19]  V. Ferrans,et al.  Nonmuscle myosin II-B is required for normal development of the mouse heart. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Rac1 mutations produce aberrant epithelial differentiation in the developing and adult mouse small intestine. , 2000, Development.

[21]  M. Loeffler,et al.  Cell migration and organization in the intestinal crypt using a lattice‐free model , 2001, Cell proliferation.

[22]  Melinda Larsen,et al.  ROCK1-directed basement membrane positioning coordinates epithelial tissue polarity , 2012, Development.

[23]  Hans Clevers,et al.  A Comprehensive Model of the Spatio-Temporal Stem Cell and Tissue Organisation in the Intestinal Crypt , 2011, PLoS Comput. Biol..

[24]  Xi C. He,et al.  Current view: intestinal stem cells and signaling. , 2008, Gastroenterology.

[25]  D. Drasdo,et al.  Modeling the interplay of generic and genetic mechanisms in cleavage, blastulation, and gastrulation , 2000, Developmental dynamics : an official publication of the American Association of Anatomists.

[26]  R. Coffey,et al.  Novel association of APC with intermediate filaments identified using a new versatile APC antibody , 2009, BMC Cell Biology.

[27]  D. M. Kroll,et al.  The Conformation of Fluid Membranes , 2022 .

[28]  Alexander A Spector,et al.  Emergent patterns of growth controlled by multicellular form and mechanics. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[29]  Luigi Preziosi,et al.  Contact inhibition of growth described using a multiphase model and an individual cell based model , 2009, Appl. Math. Lett..

[30]  R. Lang,et al.  Balanced Rac1 and RhoA activities regulate cell shape and drive invagination morphogenesis in epithelia , 2011, Proceedings of the National Academy of Sciences.

[31]  S. Sen,et al.  Matrix Elasticity Directs Stem Cell Lineage Specification , 2006, Cell.

[32]  John R. King,et al.  Growth-induced buckling of an epithelial layer , 2011, Biomechanics and modeling in mechanobiology.

[33]  H. Clevers,et al.  Identification of stem cells in small intestine and colon by marker gene Lgr5 , 2007, Nature.

[34]  G. Gompper,et al.  The conformation of fluid membranes: Monte Carlo simulations. , 1992, Science.

[35]  C. S. Chen,et al.  Geometric control of cell life and death. , 1997, Science.

[36]  T. Van Loy,et al.  Lgr4 is required for Paneth cell differentiation and maintenance of intestinal stem cells ex vivo , 2011, EMBO reports.

[37]  Donald E Ingber,et al.  Mechanical control of tissue and organ development , 2010, Development.

[38]  Paolo A. Netti,et al.  Solid stress inhibits the growth of multicellular tumor spheroids , 1997, Nature Biotechnology.

[39]  I. Gitelman Twist protein in mouse embryogenesis. , 1997, Developmental biology.

[40]  S. Hoehme,et al.  On the Role of Physics in the Growth and Pattern Formation of Multi-Cellular Systems: What can we Learn from Individual-Cell Based Models? , 2007 .

[41]  C. P. Leblond,et al.  Origin, differentiation and renewal of the four main epithelial cell types in the mouse small intestine. V. Unitarian Theory of the origin of the four epithelial cell types. , 1974, The American journal of anatomy.

[42]  J. Galle,et al.  From single cells to tissue architecture—a bottom-up approach to modelling the spatio-temporal organisation of complex multi-cellular systems , 2009, Journal of mathematical biology.

[43]  Christopher S. Chen,et al.  Cell shape, cytoskeletal tension, and RhoA regulate stem cell lineage commitment. , 2004, Developmental cell.

[44]  Hans Clevers,et al.  Long-term expansion of epithelial organoids from human colon, adenoma, adenocarcinoma, and Barrett's epithelium. , 2011, Gastroenterology.

[45]  H Cheng,et al.  Origin, differentiation and renewal of the four main epithelial cell types in the mouse small intestine. IV. Paneth cells. , 1974, The American journal of anatomy.

[46]  Tony Pawson,et al.  β-Catenin and TCF Mediate Cell Positioning in the Intestinal Epithelium by Controlling the Expression of EphB/EphrinB , 2002, Cell.

[47]  M. Loeffler,et al.  Towards a quantitative understanding of stem cell-niche interaction: experiments, models, and technologies. , 2011, Blood cells, molecules & diseases.

[48]  Hans Clevers,et al.  Lgr5(+ve) stem cells drive self-renewal in the stomach and build long-lived gastric units in vitro. , 2010, Cell stem cell.

[49]  J. Beaulieu,et al.  Integrin α8β1 regulates adhesion, migration and proliferation of human intestinal crypt cells via a predominant RhoA/ROCK-dependent mechanism , 2009, Biology of the cell.

[50]  P. Yurchenco,et al.  Developmental and pathogenic mechanisms of basement membrane assembly. , 2009, Current pharmaceutical design.

[51]  Thomas Boudou,et al.  A hitchhiker's guide to mechanobiology. , 2011, Developmental cell.

[52]  H. Clevers,et al.  Single Lgr5 stem cells build crypt–villus structures in vitro without a mesenchymal niche , 2009, Nature.

[53]  C. Nelson,et al.  Matrix compliance and RhoA direct the differentiation of mammary progenitor cells , 2012, Biomechanics and modeling in mechanobiology.

[54]  C. Potten,et al.  The development of a method for the preparation of rat intestinal epithelial cell primary cultures. , 1992, Journal of cell science.

[55]  K. Kullander,et al.  Mechanisms and functions of eph and ephrin signalling , 2002, Nature Reviews Molecular Cell Biology.

[56]  S. Murthy,et al.  Synergic effects of crypt-like topography and ECM proteins on intestinal cell behavior in collagen based membranes. , 2010, Biomaterials.

[57]  Gary R. Mirams,et al.  An integrative computational model for intestinal tissue renewal , 2009, Cell proliferation.

[58]  J. Beaulieu,et al.  Integrins and human intestinal cell functions. , 1999, Frontiers in bioscience : a journal and virtual library.

[59]  F. Sgallari,et al.  The bioartificial thyroid: a biotechnological perspective in endocrine organ engineering for transplantation replacement. , 2007, Acta bio-medica : Atenei Parmensis.

[60]  Kroll,et al.  Phase diagram of fluid vesicles. , 1994, Physical review letters.

[61]  Melinda Larsen,et al.  Identification of a mechanochemical checkpoint and negative feedback loop regulating branching morphogenesis. , 2009, Developmental biology.

[62]  W. Helfrich,et al.  The curvature elasticity of fluid membranes : A catalogue of vesicle shapes , 1976 .

[63]  Kathleen J. Green,et al.  Intercellular junction assembly, dynamics, and homeostasis. , 2010, Cold Spring Harbor perspectives in biology.

[64]  Sara-Jane Dunn,et al.  Modelling the role of the basement membrane beneath a growing epithelial monolayer. , 2012, Journal of theoretical biology.

[65]  Alexandra Jilkine,et al.  Mathematical Model for Spatial Segregation of the Rho-Family GTPases Based on Inhibitory Crosstalk , 2007, Bulletin of mathematical biology.

[66]  J. Miyoshi,et al.  Structural and functional associations of apical junctions with cytoskeleton. , 2008, Biochimica et biophysica acta.

[67]  J. Joanny,et al.  Instabilities of monolayered epithelia: shape and structure of villi and crypts. , 2011, Physical review letters.

[68]  M. Loeffler,et al.  A comprehensive model of the crypts of the small intestine of the mouse provides insight into the mechanisms of cell migration and the proliferation hierarchy. , 1987, Journal of theoretical biology.

[69]  Ruth E. Cameron,et al.  A Multifunctional 3D Co-Culture System for Studies of Mammary Tissue Morphogenesis and Stem Cell Biology , 2011, PloS one.

[70]  Ray Keller,et al.  How we are shaped: the biomechanics of gastrulation. , 2003, Differentiation; research in biological diversity.

[71]  C. P. Leblond,et al.  Origin, differentiation and renewal of the four main epithelial cell types in the mouse small intestine. I. Columnar cell. , 1974, The American journal of anatomy.