Sharp developmental thresholds defined through bistability by antagonistic gradients of retinoic acid and FGF signaling

The establishment of thresholds along morphogen gradients in the embryo is poorly understood. Using mathematical modeling, we show that mutually inhibitory gradients can generate and position sharp morphogen thresholds in the embryonic space. Taking vertebrate segmentation as a paradigm, we demonstrate that the antagonistic gradients of retinoic acid (RA) and Fibroblast Growth Factor (FGF) along the presomitic mesoderm (PSM) may lead to the coexistence of two stable steady states. Here, we propose that this bistability is associated with abrupt switches in the levels of FGF and RA signaling, which permit the synchronized activation of segmentation genes, such as mesp2, in successive cohorts of PSM cells in response to the segmentation clock, thereby defining the future segments. Bistability resulting from mutual inhibition of RA and FGF provides a molecular mechanism for the all‐or‐none transitions assumed in the “clock and wavefront” somitogenesis model. Given that mutually antagonistic signaling gradients are common in development, such bistable switches could represent an important principle underlying embryonic patterning. Developmental Dynamics 236:1495–1508, 2007. © 2007 Wiley‐Liss, Inc.

[1]  E. J. Doedel,et al.  AUTO: a program for the automatic bifurcation analysis of autonomous systems , 1980 .

[2]  C. Kintner,et al.  Regulation of segmental patterning by retinoic acid signaling during Xenopus somitogenesis. , 2004, Developmental cell.

[3]  J. Collins,et al.  Construction of a genetic toggle switch in Escherichia coli , 2000, Nature.

[4]  Nicholas T Ingolia,et al.  Topology and Robustness in the Drosophila Segment Polarity Network , 2004, PLoS biology.

[5]  P. R. ten Wolde,et al.  Finding the center reliably: robust patterns of developmental gene expression. , 2005, Physical review letters.

[6]  Yu-Chiun Wang,et al.  Spatial bistability of Dpp–receptor interactions during Drosophila dorsal–ventral patterning , 2005, Nature.

[7]  M. Mann,et al.  Phosphotyrosine interactome of the ErbB-receptor kinase family , 2005, Molecular systems biology.

[8]  A. Pasquinelli,et al.  Regulatory principles of developmental signaling. , 2002, Annual review of cell and developmental biology.

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

[10]  O. Pourquié,et al.  Retinoic acid coordinates somitogenesis and left–right patterning in vertebrate embryos , 2005, Nature.

[11]  Olivier Pourquié,et al.  FGF Signaling Controls Somite Boundary Position and Regulates Segmentation Clock Control of Spatiotemporal Hox Gene Activation , 2001, Cell.

[12]  Tetsuya Tabata,et al.  Morphogens, their identification and regulation , 2004, Development.

[13]  G. Odell,et al.  Design and constraints of the Drosophila segment polarity module: robust spatial patterning emerges from intertwined cell state switches. , 2002, The Journal of experimental zoology.

[14]  J. Ferrell Self-perpetuating states in signal transduction: positive feedback, double-negative feedback and bistability. , 2002, Current opinion in cell biology.

[15]  S. Leibler,et al.  Establishment of developmental precision and proportions in the early Drosophila embryo , 2002, Nature.

[16]  Prahlad T. Ram,et al.  MAP Kinase Phosphatase As a Locus of Flexibility in a Mitogen-Activated Protein Kinase Signaling Network , 2002, Science.

[17]  A. Keller,et al.  Model genetic circuits encoding autoregulatory transcription factors. , 1995, Journal of theoretical biology.

[18]  E. Sonneveld,et al.  The distribution of endogenous retinoic acid in the chick embryo: implications for developmental mechanisms. , 1998, Development.

[19]  Ertugrul M. Ozbudak,et al.  Multistability in the lactose utilization network of Escherichia coli , 2004, Nature.

[20]  L Wolpert,et al.  Thresholds in development. , 1977, Journal of theoretical biology.

[21]  G. Odell,et al.  A genetic switch, based on negative regulation, sharpens stripes in Drosophila embryos. , 1989, Developmental genetics.

[22]  P. Maini,et al.  Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling. , 1996, Journal of theoretical biology.

[23]  A Goldbeter,et al.  Covalent modification of proteins as a threshold mechanism in development. , 1990, Journal of theoretical biology.

[24]  F R Adler,et al.  How to make a biological switch. , 2000, Journal of theoretical biology.

[25]  Y. Saijoh,et al.  Regulation of retinoic acid distribution is required for proximodistal patterning and outgrowth of the developing mouse limb. , 2004, Developmental cell.

[26]  G. Struhl,et al.  Complementary and Mutually Exclusive Activities of Decapentaplegic and Wingless Organize Axial Patterning during Drosophila Leg Development , 1996, Cell.

[27]  H. Meinhardt Models of biological pattern formation , 1982 .

[28]  A. Harris Genes VI , 1997 .

[29]  W. Rappel,et al.  Embryonic pattern scaling achieved by oppositely directed morphogen gradients , 2006, Physical biology.

[30]  Olivier Pourquié,et al.  Faculty Opinions recommendation of Opposing FGF and retinoid pathways control ventral neural pattern, neuronal differentiation, and segmentation during body axis extension. , 2004 .

[31]  P. Pantazis,et al.  Robust formation of morphogen gradients. , 2004, Physical review letters.

[32]  Michael Brand,et al.  Endocytosis Controls Spreading and Effective Signaling Range of Fgf8 Protein , 2004, Current Biology.

[33]  Naama Barkai,et al.  Threshold responses to morphogen gradients by zero-order ultrasensitivity , 2005, Molecular systems biology.

[34]  J. Lisman A mechanism for memory storage insensitive to molecular turnover: a bistable autophosphorylating kinase. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[35]  Olivier Pourquié,et al.  Control of the segmentation process by graded MAPK/ERK activation in the chick embryo. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[36]  A. Daly,et al.  Identification of human cytochrome P450 isoforms that contribute to all-trans-retinoic acid 4-hydroxylation. , 2000, Biochemical pharmacology.

[37]  J. Ferrell,et al.  A positive-feedback-based bistable ‘memory module’ that governs a cell fate decision , 2003, Nature.

[38]  P. Chambon,et al.  Embryonic retinoic acid synthesis is essential for early mouse post-implantation development , 1999, Nature Genetics.

[39]  John J. Tyson,et al.  Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[40]  Y. Sasai,et al.  A common plan for dorsoventral patterning in Bilateria , 1996, Nature.

[41]  Juan Carlos Izpisúa Belmonte,et al.  Patterning mechanisms controlling vertebrate limb development. , 2001, Annual review of cell and developmental biology.

[42]  J. Monod,et al.  Teleonomic mechanisms in cellular metabolism, growth, and differentiation. , 1961, Cold Spring Harbor symposia on quantitative biology.

[43]  H. Wichterle,et al.  A Requirement for Retinoic Acid-Mediated Transcriptional Activation in Ventral Neural Patterning and Motor Neuron Specification , 2003, Neuron.

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

[45]  J L Hargrove,et al.  The kinetics of mammalian gene expression. , 1991, BioEssays : news and reviews in molecular, cellular and developmental biology.

[46]  Eduardo Sontag,et al.  Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2 , 2003, Nature Cell Biology.

[47]  B. Olwin,et al.  Cell type and tissue distribution of the fibroblast growth factor receptor , 1989, Journal of cellular biochemistry.

[48]  R. Krumlauf,et al.  Retinoid signalling and hindbrain patterning. , 2000, Current opinion in genetics & development.

[49]  E. C. Zeeman,et al.  A clock and wavefront model for control of the number of repeated structures during animal morphogenesis. , 1976, Journal of theoretical biology.

[50]  O. Pourquié,et al.  Avian hairy Gene Expression Identifies a Molecular Clock Linked to Vertebrate Segmentation and Somitogenesis , 1997, Cell.

[51]  Emily Gale,et al.  Retinoic acid signalling centres in the avian embryo identified by sites of expression of synthesising and catabolising enzymes , 2003, Developmental dynamics : an official publication of the American Association of Anatomists.

[52]  A. Goldbeter,et al.  Bistability in the isocitrate dehydrogenase reaction: an experimentally based theoretical study. , 1998, Biophysical journal.

[53]  Jie Chen,et al.  A Complex Oscillating Network of Signaling Genes Underlies the Mouse Segmentation Clock , 2006, Science.

[54]  W. Brook,et al.  Antagonistic Interactions Between Wingless and Decapentaplegic Responsible for Dorsal-Ventral Pattern in the Drosophila Leg , 1996, Science.

[55]  Julian Lewis Autoinhibition with Transcriptional Delay A Simple Mechanism for the Zebrafish Somitogenesis Oscillator , 2003, Current Biology.

[56]  Yumiko Saga,et al.  The Mesp2 transcription factor establishes segmental borders by suppressing Notch activity , 2005, Nature.

[57]  O. Pourquié The Segmentation Clock: Converting Embryonic Time into Spatial Pattern , 2003, Science.

[58]  P. Chambon,et al.  Retinoic Acid Controls the Bilateral Symmetry of Somite Formation in the Mouse Embryo , 2005, Science.

[59]  A. Kuroiwa,et al.  Fgf/MAPK signalling is a crucial positional cue in somite boundary formation. , 2001, Development.

[60]  G. Martin,et al.  An Fgf8 mutant allelic series generated by Cre- and Flp-mediated recombination , 1998, Nature Genetics.

[61]  K. Storey,et al.  Opposing FGF and retinoid pathways: a signalling switch that controls differentiation and patterning onset in the extending vertebrate body axis , 2004, BioEssays : news and reviews in molecular, cellular and developmental biology.

[62]  G. Eichele,et al.  Characterization of concentration gradients of a morphogenetically active retinoid in the chick limb bud , 1987, The Journal of cell biology.