Cell Sorting and Noise-Induced Cell Plasticity Coordinate to Sharpen Boundaries between Gene Expression Domains

A fundamental question in biology is how sharp boundaries of gene expression form precisely in spite of biological variation/noise. Numerous mechanisms position gene expression domains across fields of cells (e.g. morphogens), but how these domains are refined remains unclear. In some cases, domain boundaries sharpen through differential adhesion-mediated cell sorting. However, boundaries can also sharpen through cellular plasticity, with cell fate changes driven by up- or down-regulation of gene expression. In this context, we have argued that noise in gene expression can help cells transition to the correct fate. Here we investigate the efficacy of cell sorting, gene expression plasticity, and their combination in boundary sharpening using multi-scale, stochastic models. We focus on the formation of hindbrain segments (rhombomeres) in the developing zebrafish as an example, but the mechanisms investigated apply broadly to many tissues. Our results indicate that neither sorting nor plasticity is sufficient on its own to sharpen transition regions between different rhombomeres. Rather the two have complementary strengths and weaknesses, which synergize when combined to sharpen gene expression boundaries.

[1]  J. Terriente,et al.  Cell segregation in the vertebrate hindbrain relies on actomyosin cables located at the interhombomeric boundaries , 2014, The EMBO journal.

[2]  Sui Huang The molecular and mathematical basis of Waddington's epigenetic landscape: A framework for post‐Darwinian biology? , 2012, BioEssays : news and reviews in molecular, cellular and developmental biology.

[3]  E. Hafen,et al.  Spatial distribution of transcripts from the segmentation gene fushi tarazu during Drosophila embryonic development , 1984, Cell.

[4]  R. Keynes,et al.  Mechanisms of vertebrate segmentation. , 1988, Development.

[5]  Mathieu Coppey,et al.  Modelling the Bicoid gradient , 2010, Development.

[6]  Qing Nie,et al.  Interactions and tradeoffs between cell recruitment, proliferation, and differentiation affect CNS regeneration. , 2014, Biophysical journal.

[7]  D. Wilkinson,et al.  Notch activation regulates the segregation and differentiation of rhombomere boundary cells in the zebrafish hindbrain. , 2004, Developmental cell.

[8]  Ian A. Swinburne,et al.  Specified Neural Progenitors Sort to Form Sharp Domains after Noisy Shh Signaling , 2013, Cell.

[9]  Olivier Pourquié,et al.  fgf8 mRNA decay establishes a gradient that couples axial elongation to patterning in the vertebrate embryo , 2004, Nature.

[10]  E. Wiellette,et al.  vhnf1 and Fgf signals synergize to specify rhombomere identity in the zebrafish hindbrain , 2003, Development.

[11]  Lewis Wolpert,et al.  The French Flag Problems A Contribution to the Discussion on Pattern Development and Regulation , 2017 .

[12]  Yousef Jamali,et al.  A Sub-Cellular Viscoelastic Model for Cell Population Mechanics , 2010, PloS one.

[13]  A. Hemmati-Brivanlou,et al.  Caudalization of neural fate by tissue recombination and bFGF. , 1995, Development.

[14]  R. Krumlauf,et al.  Hox genes and segmentation of the hindbrain and axial skeleton. , 2009, Annual review of cell and developmental biology.

[15]  Steve Pawlizak,et al.  Testing the differential adhesion hypothesis across the epithelial−mesenchymal transition , 2015 .

[16]  D. Wilkinson,et al.  Segment Identity and Cell Segregation in the Vertebrate Hindbrain. , 2016, Current topics in developmental biology.

[17]  C. Labalette,et al.  Hindbrain patterning requires fine-tuning of early krox20 transcription by Sprouty 4 , 2011, Development.

[18]  G. An,et al.  Agent‐based models in translational systems biology , 2009, Wiley interdisciplinary reviews. Systems biology and medicine.

[19]  James A. Glazier,et al.  A Multi-cell, Multi-scale Model of Vertebrate Segmentation and Somite Formation , 2011, PLoS Comput. Biol..

[20]  Stephen W. Wilson,et al.  Distinct roles for Fgf, Wnt and retinoic acid in posteriorizing the neural ectoderm. , 2002, Development.

[21]  A. Barrios,et al.  Eph signaling is required for segmentation and differentiation of the somites. , 1998, Genes & development.

[22]  Emily Gale,et al.  Opposing FGF and Retinoid Pathways Control Ventral Neural Pattern, Neuronal Differentiation, and Segmentation during Body Axis Extension , 2003, Neuron.

[23]  D. Wilkinson,et al.  In vivo cell sorting in complementary segmental domains mediated by Eph receptors and ephrins , 1999, Nature.

[24]  R. Krumlauf,et al.  Deciphering the Hox code: Clues to patterning branchial regions of the head , 1991, Cell.

[25]  Nathalie Dostatni,et al.  The Bicoid Morphogen System , 2010, Current Biology.

[26]  Cell segregation in the vertebrate hindbrain: a matter of boundaries , 2015, Cellular and Molecular Life Sciences.

[27]  Sui Huang,et al.  The potential landscape of genetic circuits imposes the arrow of time in stem cell differentiation. , 2010, Biophysical journal.

[28]  Qing Nie,et al.  Computational modelling of epidermal stratification highlights the importance of asymmetric cell division for predictable and robust layer formation , 2014, Journal of The Royal Society Interface.

[29]  T. Schilling,et al.  Origins of anteroposterior patterning and Hox gene regulation during chordate evolution. , 2001, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[30]  M. Levine,et al.  The initiation of pair-rule stripes in the Drosophila blastoderm. , 1991, Current opinion in genetics & development.

[31]  Takashi Hiiragi,et al.  Stochastic patterning in the mouse pre-implantation embryo , 2007, Development.

[32]  H. Meinhardt Cell determination boundaries as organizing regions for secondary embryonic fields. , 1983, Developmental biology.

[33]  I. McGonnell,et al.  Establishment of Hindbrain Segmental Identity Requires Signaling by FGF3 and FGF8 , 2002, Current Biology.

[34]  C. Moens,et al.  vhnf1 integrates global RA patterning and local FGF signals to direct posterior hindbrain development in zebrafish , 2004, Development.

[35]  R. Keynes,et al.  Segmental patterns of neuronal development in the chick hindbrain , 1989, Nature.

[36]  Akinao Nose,et al.  Expressed recombinant cadherins mediate cell sorting in model systems , 1988, Cell.

[37]  Qing Nie,et al.  Integrative multicellular biological modeling: a case study of 3D epidermal development using GPU algorithms , 2010, BMC Systems Biology.

[38]  Julian Lewis,et al.  From Signals to Patterns: Space, Time, and Mathematics in Developmental Biology , 2008, Science.

[39]  Christian Wehrle,et al.  Wnt3a plays a major role in the segmentation clock controlling somitogenesis. , 2003, Developmental cell.

[40]  M. Capecchi,et al.  Roles of Hoxa1 and Hoxa2 in patterning the early hindbrain of the mouse. , 2000, Development.

[41]  Julian Lewis,et al.  The vertebrate segmentation clock. , 2004, Current opinion in genetics & development.

[42]  Y. Saga,et al.  The making of the somite: molecular events in vertebrate segmentation , 2001, Nature Reviews Genetics.

[43]  Leah Edelstein-Keshet,et al.  A Comparison of Computational Models for Eukaryotic Cell Shape and Motility , 2012, PLoS Comput. Biol..

[44]  Qing Nie,et al.  Noise drives sharpening of gene expression boundaries in the zebrafish hindbrain , 2012, Molecular systems biology.

[45]  R. Krumlauf,et al.  Initiating Hox gene expression: in the early chick neural tube differential sensitivity to FGF and RA signaling subdivides the HoxB genes in two distinct groups. , 2002, Development.

[46]  C. Kimmel,et al.  FGF3 and FGF8 mediate a rhombomere 4 signaling activity in the zebrafish hindbrain. , 2002, Development.

[47]  P. Ingham The molecular genetics of embryonic pattern formation in Drosophila , 1988, Nature.

[48]  Qing Nie,et al.  Complex Regulation of cyp26a1 Creates a Robust Retinoic Acid Gradient in the Zebrafish Embryo , 2007, PLoS biology.

[49]  R. Kay,et al.  Forming patterns in development without morphogen gradients: scattered differentiation and sorting out. , 2009, Cold Spring Harbor perspectives in biology.

[50]  D. Saito,et al.  EphrinB2 coordinates the formation of a morphological boundary and cell epithelialization during somite segmentation , 2009, Proceedings of the National Academy of Sciences.

[51]  Enrico Gratton,et al.  Noise modulation in retinoic acid signaling sharpens segmental boundaries of gene expression in the embryonic zebrafish hindbrain , 2016, eLife.

[52]  Qing Nie,et al.  The Interplay between Wnt Mediated Expansion and Negative Regulation of Growth Promotes Robust Intestinal Crypt Structure and Homeostasis , 2015, PLoS Comput. Biol..

[53]  William McGinnis,et al.  Homeobox genes and axial patterning , 1992, Cell.

[54]  C. Niehrs,et al.  A morphogen gradient of Wnt/beta-catenin signalling regulates anteroposterior neural patterning in Xenopus. , 2001, Development.

[55]  M. S. Steinberg,et al.  The differential adhesion hypothesis: a direct evaluation. , 2005, Developmental biology.

[56]  C. Moens,et al.  EphA4 and EfnB2a maintain rhombomere coherence by independently regulating intercalation of progenitor cells in the zebrafish neural keel. , 2009, Developmental biology.

[57]  C. Nüsslein-Volhard,et al.  The bicoid protein determines position in the Drosophila embryo in a concentration-dependent manner , 1988, Cell.

[58]  F. Fagotto,et al.  Variable Combinations of Specific Ephrin Ligand/Eph Receptor Pairs Control Embryonic Tissue Separation , 2014, PLoS biology.

[59]  R. Adams,et al.  Eph/ephrin molecules--a hub for signaling and endocytosis. , 2010, Genes & development.

[60]  P. Gilardi-Hebenstreit,et al.  Krox-20 patterns the hindbrain through both cell-autonomous and non cell-autonomous mechanisms. , 2001, Genes & development.

[61]  Andrea H. Brand,et al.  An actomyosin-based barrier inhibits cell mixing at compartmental boundaries in Drosophila embryos , 2010, Nature Cell Biology.

[62]  Alexis Hubaud,et al.  Signalling dynamics in vertebrate segmentation , 2014, Nature Reviews Molecular Cell Biology.

[63]  Abbas Shirinifard,et al.  Computer Simulations of Cell Sorting Due to Differential Adhesion , 2011, PloS one.

[64]  Manu,et al.  Drosophila blastoderm patterning. , 2012, Current opinion in genetics & development.

[65]  Timothy J. Newman Modeling Multicellular Structures Using the Subcellular Element Model , 2007 .

[66]  C. Moens,et al.  EphA4 Is Required for Cell Adhesion and Rhombomere-Boundary Formation in the Zebrafish , 2005, Current Biology.