Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

An actin-based viscoplastic lock ensures progressive body-axis elongation

A Publisher Correction to this article was published on 03 October 2019

A Publisher Correction to this article was published on 06 September 2019

This article has been updated

Abstract

Body-axis elongation constitutes a key step in animal development, laying out the final form of the entire animal. It relies on the interplay between intrinsic forces generated by molecular motors1,2,3, extrinsic forces exerted by adjacent cells4,5,6,7 and mechanical resistance forces due to tissue elasticity or friction8,9,10. Understanding how mechanical forces influence morphogenesis at the cellular and molecular level remains a challenge1. Recent work has outlined how small incremental steps power cell-autonomous epithelial shape changes1,2,3, which suggests the existence of specific mechanisms that stabilize cell shapes and counteract cell elasticity. Beyond the twofold stage, embryonic elongation in Caenorhabditis elegans is dependent on both muscle activity7 and the epidermis; the tension generated by muscle activity triggers a mechanotransduction pathway in the epidermis that promotes axis elongation7. Here we identify a network that stabilizes cell shapes in C. elegans embryos at a stage that involves non-autonomous mechanical interactions between epithelia and contractile cells. We searched for factors genetically or molecularly interacting with the p21-activating kinase homologue PAK-1 and acting in this pathway, thereby identifying the α-spectrin SPC-1. Combined absence of PAK-1 and SPC-1 induced complete axis retraction, owing to defective epidermal actin stress fibre. Modelling predicts that a mechanical viscoplastic deformation process can account for embryo shape stabilization. Molecular analysis suggests that the cellular basis for viscoplasticity originates from progressive shortening of epidermal microfilaments that are induced by muscle contractions relayed by actin-severing proteins and from formin homology 2 domain-containing protein 1 (FHOD-1) formin bundling. Our work thus identifies an essential molecular lock acting in a developmental ratchet-like process.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

Fig. 1: Combined loss of PAK-1 and SPC-1 triggers muscle-dependent embryo retraction.
Fig. 2: Actin-filament abnormalities in spc-1 pak-1 defective embryos.
Fig. 3: Muscle contractions are linked to severing of epidermal actin filaments.
Fig. 4: An actin-remodelling network providing mechanical plasticity ensures embryo elongation.

Data availability

Source Data for Figs. 1d, 2c–f, 3c–e, 4d, e and Extended Data Figs. 1b, d, k, 3b, c, 4c, d, 5d, e, l, 7a, b, 9f, as well as numbers of replicates and P values (where applicable) for all figures are provided in the online version of the paper.

Code availability

All MATLAB scripts used for the present analysis are available upon reasonable request.

Change history

  • 03 October 2019

    An Amendment to this paper has been published and can be accessed via a link at the top of the paper.

  • 06 September 2019

    An Amendment to this paper has been published and can be accessed via a link at the top of the paper.

References

  1. 1.

    Gilmour, D., Rembold, M. & Leptin, M. From morphogen to morphogenesis and back. Nature 541, 311–320 (2017).

    ADS  CAS  Article  Google Scholar 

  2. 2.

    Martin, A. C., Kaschube, M. & Wieschaus, E. F. Pulsed contractions of an actin–myosin network drive apical constriction. Nature 457, 495–499 (2009).

    ADS  CAS  Article  Google Scholar 

  3. 3.

    Rauzi, M., Lenne, P. F. & Lecuit, T. Planar polarized actomyosin contractile flows control epithelial junction remodelling. Nature 468, 1110–1114 (2017).

    ADS  Article  Google Scholar 

  4. 4.

    Collinet, C., Rauzi, M., Lenne, P. F. & Lecuit, T. Local and tissue-scale forces drive oriented junction growth during tissue extension. Nat. Cell Biol. 17, 1247–1258 (2015).

    CAS  Article  Google Scholar 

  5. 5.

    Desprat, N., Supatto, W., Pouille, P. A., Beaurepaire, E. & Farge, E. Tissue deformation modulates twist expression to determine anterior midgut differentiation in Drosophila embryos. Dev. Cell 15, 470–477 (2008).

    CAS  Article  Google Scholar 

  6. 6.

    Lye, C. M. et al. Mechanical coupling between endoderm invagination and axis extension in Drosophila. PLoS Biol. 13, e1002292 (2015).

    Article  Google Scholar 

  7. 7.

    Zhang, H. et al. A tension-induced mechanotransduction pathway promotes epithelial morphogenesis. Nature 471, 99–103 (2011).

    ADS  CAS  Article  Google Scholar 

  8. 8.

    Behrndt, M. et al. Forces driving epithelial spreading in zebrafish gastrulation. Science 338, 257–260 (2012).

    ADS  CAS  Article  Google Scholar 

  9. 9.

    Dierkes, K., Sumi, A., Solon, J. & Salbreux, G. Spontaneous oscillations of elastic contractile materials with turnover. Phys. Rev. Lett. 113, 148102 (2014).

    ADS  Article  Google Scholar 

  10. 10.

    Vuong-Brender, T. T., Ben Amar, M., Pontabry, J. & Labouesse, M. The interplay of stiffness and force anisotropies drives embryo elongation. eLife 6, e23866 (2017).

    Article  Google Scholar 

  11. 11.

    Munro, E., Nance, J. & Priess, J. R. Cortical flows powered by asymmetrical contraction transport PAR proteins to establish and maintain anterior-posterior polarity in the early C. elegans embryo. Dev. Cell 7, 413–424 (2004).

    CAS  Article  Google Scholar 

  12. 12.

    Vuong-Brender, T. T., Yang, X. & Labouesse, M. C. elegans embryonic morphogenesis. Curr. Top. Dev. Biol. 116, 597–616 (2016).

    CAS  Article  Google Scholar 

  13. 13.

    Simões, Sde. M., Mainieri, A. & Zallen, J. A. Rho GTPase and Shroom direct planar polarized actomyosin contractility during convergent extension. J. Cell Biol. 204, 575–589 (2014).

    Article  Google Scholar 

  14. 14.

    Vasquez, C. G., Tworoger, M. & Martin, A. C. Dynamic myosin phosphorylation regulates contractile pulses and tissue integrity during epithelial morphogenesis. J. Cell Biol. 206, 435–450 (2014).

    CAS  Article  Google Scholar 

  15. 15.

    Gally, C. et al. Myosin II regulation during C. elegans embryonic elongation: LET-502/ROCK, MRCK-1 and PAK-1, three kinases with different roles. Development 136, 3109–3119 (2009).

    CAS  Article  Google Scholar 

  16. 16.

    Vuong-Brender, T. T. K., Suman, S. K. & Labouesse, M. The apical ECM preserves embryonic integrity and distributes mechanical stress during morphogenesis. Development 144, 4336–4349 (2017).

    CAS  Article  Google Scholar 

  17. 17.

    Rogalski, T. M., Mullen, G. P., Gilbert, M. M., Williams, B. D. & Moerman, D. G. The UNC-112 gene in Caenorhabditis elegans encodes a novel component of cell-matrix adhesion structures required for integrin localization in the muscle cell membrane. J. Cell Biol. 150, 253–264 (2000).

    CAS  Article  Google Scholar 

  18. 18.

    Costa, M., Draper, B. W. & Priess, J. R. The role of actin filaments in patterning the Caenorhabditis elegans cuticle. Dev. Biol. 184, 373–384 (1997).

    CAS  Article  Google Scholar 

  19. 19.

    Priess, J. R. & Hirsh, D. I. Caenorhabditis elegans morphogenesis: the role of the cytoskeleton in elongation of the embryo. Dev. Biol. 117, 156–173 (1986).

    CAS  Article  Google Scholar 

  20. 20.

    Praitis, V., Ciccone, E. & Austin, J. SMA-1 spectrin has essential roles in epithelial cell sheet morphogenesis in C. elegans. Dev. Biol. 283, 157–170 (2005).

    CAS  Article  Google Scholar 

  21. 21.

    McCullough, B. R. et al. Cofilin-linked changes in actin filament flexibility promote severing. Biophys. J. 101, 151–159 (2011).

    ADS  CAS  Article  Google Scholar 

  22. 22.

    Bonakdar, N. et al. Mechanical plasticity of cells. Nat. Mater. 15, 1090–1094 (2016).

    ADS  CAS  Article  Google Scholar 

  23. 23.

    Doubrovinski, K., Swan, M., Polyakov, O. & Wieschaus, E. F. Measurement of cortical elasticity in Drosophila melanogaster embryos using ferrofluids. Proc. Natl Acad. Sci. USA 114, 1051–1056 (2017).

    CAS  Article  Google Scholar 

  24. 24.

    Muñoz, J. J. & Albo, S. Physiology-based model of cell viscoelasticity. Phys. Rev. E 88, 012708 (2013).

    ADS  Article  Google Scholar 

  25. 25.

    Vanneste, C. A., Pruyne, D. & Mains, P. E. The role of the formin gene fhod-1 in C. elegans embryonic morphogenesis. Worm 2, e25040 (2013).

    Article  Google Scholar 

  26. 26.

    Schönichen, A. et al. FHOD1 is a combined actin filament capping and bundling factor that selectively associates with actin arcs and stress fibers. J. Cell Sci. 126, 1891–1901 (2013).

    Article  Google Scholar 

  27. 27.

    Kühn, S. & Geyer, M. Formins as effector proteins of Rho GTPases. Small GTPases 5, e983876 (2014).

    Article  Google Scholar 

  28. 28.

    Jurmeister, S. et al. MicroRNA-200c represses migration and invasion of breast cancer cells by targeting actin-regulatory proteins FHOD1 and PPM1F. Mol. Cell. Biol. 32, 633–651 (2012).

    CAS  Article  Google Scholar 

  29. 29.

    Brenner, S. The genetics of Caenorhabditis elegans. Genetics 77, 71–94 (1974).

    CAS  PubMed  PubMed Central  Google Scholar 

  30. 30.

    Gomes, J. E. et al. Microtubule severing by the katanin complex is activated by PPFR-1-dependent MEI-1 dephosphorylation. J. Cell Biol. 202, 431–439 (2013).

    Article  Google Scholar 

  31. 31.

    Fromont-Racine, M., Rain, J. C. & Legrain, P. Toward a functional analysis of the yeast genome through exhaustive two-hybrid screens. Nat. Genet. 16, 277–282 (1997).

    CAS  Article  Google Scholar 

  32. 32.

    Kamath, R. S. et al. Systematic functional analysis of the Caenorhabditis elegans genome using RNAi. Nature 421, 231–237 (2003).

    ADS  CAS  Article  Google Scholar 

  33. 33.

    Gally, C., Zhang, H. & Labouesse, M. Functional and genetic analysis of VAB-10 spectraplakin in Caenorhabditis elegans. Methods Enzymol. 569, 407–430 (2016).

    CAS  Article  Google Scholar 

  34. 34.

    Naganathan, S. R. et al. Morphogenetic degeneracies in the actomyosin cortex. eLife 7, e37677 (2018).

    Article  Google Scholar 

  35. 35.

    Bosher, J. M. et al. The Caenorhabditis elegans vab-10 spectraplakin isoforms protect the epidermis against internal and external forces. J. Cell Biol. 161, 757–768 (2003).

    CAS  Article  Google Scholar 

  36. 36.

    Mi-Mi, L., Votra, S., Kemphues, K., Bretscher, A. & Pruyne, D. Z-line formins promote contractile lattice growth and maintenance in striated muscles of C. elegans. J. Cell Biol. 198, 87–102 (2012).

    Article  Google Scholar 

  37. 37.

    Gustafsson, M. G. Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy. J. Microsc. 198, 82–87 (2000).

    CAS  Article  Google Scholar 

  38. 38.

    Kner, P., Chhun, B. B., Griffis, E. R., Winoto, L. & Gustafsson, M. G. Super-resolution video microscopy of live cells by structured illumination. Nat. Methods 6, 339–342 (2009).

    CAS  Article  Google Scholar 

  39. 39.

    Matthews, I., Ishikawa, T. & Baker, S. The template update problem. IEEE Trans. Pattern Anal. Mach. Intell. 26, 810–815 (2004).

    Article  Google Scholar 

  40. 40.

    Gonzalez, R. C. & Woods, R. E. Digital Image Processing 3rd edn (Prentice–Hall, 2006).

Download references

Acknowledgements

The authors thank A. Spang, S. Grill, Y. Bellaïche and R. Voituriez for critical comments on the manuscript and M. Gettings for improving the English. We also thank the Caenorhabditis Genetics Center (funded by the NIH Office of Research Infrastructure Programs P40 OD010440) and National BioResource Project at Tokyo Women's Medical University for strains, the IBPS Imaging Facility for advice. This work was supported by the Agence Nationale pour la Recherche, the European Research Council (grant no. 294744), Israel–France Maïmonide exchange program grants, and installation funds from the Centre National de la Recherche Scientifique (CNRS) and University Pierre et Marie Curie (UPMC) to M.L. A.L. was supported by a fellowship from the Fondation pour la Recherche Médicale (FDT201805005501). This work was also made possible by institutional funds from the CNRS, University of Strasbourg and UPMC, the grant ANR-10-LABX-0030-INRT, which is a French State fund managed by the Agence Nationale de la Recherche under the framework programme Investissements d’Avenir labelled ANR-10-IDEX-0002-02 to the IGBMC. The work of P.M. and E.B. was partly supported by the Agence Nationale de la Recherche (contract ANR-11-EQPX-0029 Morphoscope2), the work of S.O. was partly supported by the National Institutes of Health (grant AR048615).

Author information

Affiliations

Authors

Contributions

M.L. conceived the project. A.L. performed most experiments with initial contributions from G.P. T.F. conceived the modelling, F.L. generated the FHOD-1 variants and the screen reported in Supplementary Table 3, P.M. and E.B. helped with TIRF–SIM imaging, T.F. and J.P. performed image analysis, C.G. shared data from a related screen, S.K. helped with the spc-1(ra409) mini-RNAi screen, D.R. provided technical assistance and S.O. provided the outcrossed gsnl-1 and viln-1 mutants. M.L. wrote the manuscript, and all authors commented and proofread it (except S.K., who was an intern), A.L. assembled figures, T.F. conceived and wrote the supplementary mathematical modelling material and F.L. prepared the Methods section.

Corresponding author

Correspondence to Michel Labouesse.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Peer review information Nature thanks Edwin Munro, Bruce Vogel and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Extended data figures and tables

Extended Data Fig. 1 Genes required to maintain embryonic elongation.

a, RNAi screen in a pak-1 mutant identified spc-1 as an enhancer (Supplementary Table 1). b, DIC images and quantification of newly hatched wild-type body length (n = 38 embryos), pak-1(tm403) (n = 32 embryos), spc-1(RNAi) (n = 26 embryos) and spc-1(RNAi) pak-1(tm403) (n = 36 embryos). Scale bars, 25 µm (WT and pak-1), 10 µm (spc-1 and spc-1 pak-1). Data represent mean values ± s.d. Two-sided paired t-test. c, A yeast two-hybrid screen using the PAK-1 N-terminal domain as a bait identified the SPC-1 SH3 domain as a prey (orange background) (Supplementary Table 2). dj, Loss of the proteins GIT-1 and PIX-1, acting upstream of PAK-1 in the mechanotransduction pathway promoted by muscle contractions, in the absence of spc-1 also triggers a retraction phenotype. dj, Elongation curves (d) and terminal phenotypes of wild type (n = 12 embryos), pak-1(tm403) (e; n = 11 embryos), git-1(tm1962) (f; n = 10 embryos), pix-1(gk416) (g; n = 10 embryos), spc-1(RNAi) pak-1(tm403) (h; n = 9 embryos), spc-1(RNAi) git-1(tm1962) (i; n = 11 embryos), spc-1(RNAi) pix-1(tm416) (j; n = 8 embryos). Data represent mean ± s.e.m. kn, Elongation curves (k) and DIC pictures showing the terminal phenotypes of unc-112(RNAi) embryos (l; n = 14) and unc-112(RNAi) pak-1(tm403) (m; n = 8 embryos). n, Terminal phenotype of unc-112(RNAi) spc-1(ra409) obtained by inducing unc-112(RNAi) in the strain ML2436 bearing a rescuing extrachromosomal spc-1::gfp array and looking for embryos having lost the array; we could only obtain a few embryos of the desired phenotype despite numerous repeats (n = 4 embryos), all of which had the phenotype illustrated here, which is similar to that of spc-1(ra409) alone. Data represent mean ± s.e.m. Scale bars in ej, ln, 17 µm. *P < 0.05; **P < 0.001; ***P < 0.0001.

Source data

Extended Data Fig. 2 PAK-1and SPC-1 colocalize with actin filaments.

a, b, Distribution of PAK-1::mKate (a; n = 20 embryos) and SPC-1::GFP (b; n = 13 embryos) in a late embryo. Enlarged images of PAK-1 and SPC-1 showing a filamentous distribution in the dorsoventral epidermis similar to actin filaments. c, Fluorescence images of PAK-1::mKate (red) and SPC-1::GFP (green) (n = 20 embryos). The panel shows the colocalization image for the most-apical focal planes (top image), and full XZ (green panel) and YZ (red panel) projections. The level of co-localization is high based on Pearson’s correlation coefficient (0.7–0.9, n = 20 embryos). The highest level of colocalization is detected at the apical cortex. d, Fluorescence images of Plin-26::VAB-10(ABD)::mKate (red) and SPC-1::GFP (green) (n = 8 embryos). The panel shows the colocalization image for the most-apical focal planes (top image), and full XZ (green panel) and YZ (red panel) projections. The level of colocalization is high based on Pearson’s correlation coefficient (0.7–0.9, n = 8 embryos). The colocalization is detected almost exclusively at the apical cortex. The gene lin-26 drives expression in the epidermis; VAB-10(ABD) corresponds to the two actin-binding domains (calponin homology) of the protein VAB-10. Scale bar, 10 µm.

Extended Data Fig. 3 Actin-filament continuity and orientation at three elongation stages.

a, di, Epidermal actin filaments visualized with the Pdpy-7::LifeAct::GFP reporter construct in wild type (a), pak-1(tm403) (d), spc-1(RNAi) (e), spc-1(RNAi) pak-1(tm403) (f), unc-112(RNAi) (g), fhod-1(tm2363) (h) and fhod-1(tm2363) spc-1(RNAi) (i) at mid-elongation (twofold equivalent) stage. Yellow rectangle, ROI. Scale bar, 10 µm. ROI after binarization (green) and major axis detection (red) (a, top middle, di, bottom), based on three steps of image treatment for continuity and orientation analysis (a, right). Actin continuity: distribution of actin segments based on their length (a, bottom middle). b, Quantification of actin-filament continuity; the graph represents the length (in pixels) along the circumferential axis of actin filaments in early, mid and late (corresponding to 1.7-fold, 2-fold and 3-fold equivalent stages in a wild-type embryo, respectively) embryos of wild-type (early n = 12, mid n = 19, late n = 16), pak-1(tm403) (early n = 16, mid n = 21, late n = 16), spc-1(RNAi) (early n = 15, mid n = 21, late n = 20), spc-1(RNAi) pak-1(tm403) (early n = 12, mid n = 17, late n = 26), unc-112(RNAi) (early n = 8, mid n = 13, late n = 12), fhod-1(tm2363) (early n = 12, mid n = 14, late n = 10), fhod-1(tm2363); spc-1(RNAi) (early n = 7, mid n = 11, late n = 8), spc-1(ra409) pak-1(tm403) (mid n = 14, late n = 20) and unc-112(RNAi) ; spc-1(ra409) pak-1(tm403) (early n = 8, mid n = 15, late n = 19) genotypes. c, Actin-filament orientation based on FFT and binarization. Wild-type (early n = 12, mid n = 18, late n = 14), pak-1(tm403) (early n = 16, mid n = 20, late n = 16), spc-1(RNAi) (early n = 14, mid n = 18, late n = 18), spc-1(RNAi) pak-1(tm403) (early n = 12, mid n = 18, late n = 21), unc-112(RNAi) (early n = 8, mid n = 13, late n = 12), fhod-1(tm2363) (early n = 12, mid n = 14, late n = 10), fhod-1(tm2363); spc-1(RNAi) (early n = 7, mid n = 11, late n = 8), spc-1(ra409) pak-1(tm403) (mid n = 14, late n = 19) and unc-112(RNAi) spc-1(ra409) pak-1(tm403) (early n = 8, mid n = 15, late n = 19) genotypes. Note that the characteristics of actin filaments in spc-1(RNAi) pak-1(tm403) embryos differ mostly at the equivalent of the twofold stage when muscles become active. At earlier and later stages, spc-1(RNAi) embryos and spc-1(RNAi) pak-1(tm403) embryos become similar. Each graph represents median values, 25th and 75th percentiles. The whiskers extend to the most extreme data points not considered outliers. Two-sided paired t-test. *P < 0.05; **P < 0.001; ***P < 0.0001; n.s, not significant.

Source data

Extended Data Fig. 4 Changes in embryo diameter during elongation.

a, b, Fluorescence micrographs of embryos expressing the Pepid::Lifeact::GFP construct in the epidermis at three elongation stages early, middle and late (corresponding to 1.7-fold, 2-fold and 3-fold equivalent stages in a wild-type embryo, respectively) for wild-type (a) and spc-1(RNAi) pak-1(tm403) embryos (b). Scale bar, 10 µm. The Pepid promoter corresponds to Pdpy-7. The yellow lines correspond to the segments used to measure the dorsoventral width of the V1 seam cell. c, d, Quantification of the average V1 cell circumferential width normalized to the initial width during elongation (c), and of the average dorsoventral circumferential width at the level of the V1 seam cell (d), which was calculated using the measured embryo length and V1 cell width, taking into consideration the conservation of the total embryo volume, in wild-type (early n = 38, mid n = 10, late n = 14), pak-1(tm403) (early n = 26, mid n = 8, late n = 20), spc-1(RNAi) (early n = 24, mid n = 26, late n = 18), spc-1(RNAi) pak-1(tm403) (early n = 22, mid n = 30, late n = 38), unc-112(RNAi) (early n = 8, mid n = 9, late n = 8), and unc-112(RNAi) spc-1(ra409) pak-1(tm403) (early n = 7, mid n = 12, late n = 17) embryos. Error bars, s.e.m. A notable feature of spc-1(RNAi) pak-1(tm403) embryos is that the circumferential dimension of the seam cells decreased much more than that of their dorsoventral cells, which most probably reflects the actin-filament integrity defects combined with a Fseam force largely unchanged.

Source data

Extended Data Fig. 5 Bending and severing of actin bundles during muscle contractions.

a, b, Kymographs of the regions boxed in yellow in Fig. 3a, b after spinning-disc time-lapse imaging of epidermal actin filaments (Pdpy-7::LifeAct::GFP reporter) in wild-type (a) and spc-1(RNAi) pak-1(tm403) (b) embryos at mid-elongation (twofold equivalent) stage. Scale bar, 5 µm. c, Principle of the RNAi screen performed to identify proteins mediating actin remodelling; the recipient strain carried a rescuing, but frequently lost, spc-1(+) transgene (green). d, Quantification of L1 hatchling length after downregulation or mutation of the indicated genes; the presence of the spc-1::gfp transgene is denoted +. Control worms fed on L4440 bacteria. ek, Elongation curves (e) and DIC images showing the terminal phenotypes of pak-1(tm403) (f; n = 11 embryos), gsnl-1(tm2730); pak-1(tm403) (g; n = 9 embryos), viln-1(ok2413); pak-1(tm403) (h; n = 9 embryos), gsnl-1(tm2730); spc-1(RNAi) pak-1(tm403) (i; n = 5 embryos), viln-1(ok2413); spc-1(RNAi) pak-1(tm403) (j; n = 11 embryos) and spc-1(RNAi) pak-1(tm403) (k; n = 9 embryos). Pink box in e, period of muscle activity. Data represent mean ± s.e.m. Scale bar, 25 µm. l, Quantification of the L1 hatchling body length of wild type (n = 65 hatchlings), gsnl-1(tm2730) (n = 52 hatchlings), viln-1(ok2413) (n = 43 hatchlings), viln-1(ok2413); gsnl-1(tm2730) (n = 41 hatchlings), pak-1(tm403) (n = 47 hatchlings), gsnl-1(tm2730); pak-1(tm403) (n = 51 hatchlings), viln-1(ok2413); pak-1(tm403) (n = 70 hatchlings), viln-1(ok2413); gsnl-1(tm2730); pak-1(RNAi) (n = 35), spc-1(RNAi) (n = 27 hatchlings) and viln-1(ok2413); gsnl-1(tm2730); spc-1(RNAi) (n = 41 hatchlings). Data represent mean ± s.d. Two side paired t-test. *P < 0.05; **P < 0.001; ***P < 0.0001; n.s, not significant.

Source data

Extended Data Fig. 6 Time-dependent length of a Kelvin–Voigt model in different conditions.

a, A generic Kelvin–Voigt system exposed to a constant force Fepid, and its predicted elongation change for Fseam = 0.85 and four different values of αDV based on the equation \({F}_{epid}={F}_{seam}\;{\alpha }_{DV}\). b, A similar system exposed to two forces, Fepid and an oscillating force Fmuscles, and predicted elongation change using Fepid = 0.85 and Fmuscles with an amplitude equal to 1 and the behaviour depicted in the blue-boxed inset. For simplicity, we will refer to the amplitude of Fmuscles as Fmuscles. As the pulsatile force induces both compression and stretching (see Fig. 1c), its net input on elongation is transient and the system oscillates around the maximal value reached without Fmuscles. In all other panels (except in a), Fmuscles was set as a periodic function with positive and negative steps of duration 6 s modulated by a cosine function, alternating with periods of null value of duration 15 s (b, inset). c, A Kelvin–Voigt system with mechanical plasticity introduced according to equations (1), (4), (6) and (7) in the Supplementary Information, and predicted elongation change using Fepid = 0.85, Fc = 0, Fmuscles = 3 and four distinct values of the plasticity factor β, or using Fepid = 0.85, Fc = 0, β = 0.10 and four distinct values of Fmuscles. d, A Kelvin–Voigt system in which the plasticity is defective (β = 0), and in which there is actin tearing according to equation (7) in the Supplementary Information, inducing a progressive reduction of Fepid, and predicted elongation change with an initial value of Fepid = 0.85, the tearing factor γ = 0.15 and Fmuscles = 3; the inset outlined in blue shows the behaviour of αDV(t) over time. In ad, the elastic constant of the spring is k = 1, the initial resting length has the value λ(t = 0) = 1, and the viscosity is η = 10. e, Result of the fit for the following genotypes: WT, unc-112(−) alone spc-1(−) alone, spc-1(−) pak-1(−) double, unc-112(−); spc-1(−) pak(−) according to equations (1), (4), (9) to (11) in the Supplementary Information. The values of the parameters are specified in paragraphs 1.5 and 1.6 in the Supplementary Information. The shallow decrease in length for the curve of unc-112(−); spc-1(−) pak-1(−) after 150 min is due to a deformation of the embryos under the effect of unc-112 knockdown but not to retraction, which is why the fit has been evaluated on the first 150 min of the curve.

Extended Data Fig. 7 Comparable retraction phenotypes after the combined loss of SPC-1 and PAK-1 or SPC-1 and FHOD-1.

a, Principle of the retraction screen in a spc-1 mutant that identified fhod-1. b, DIC image of spc-1 deficient embryos after feeding on L4440 control (n = 21 hatchlings) or fhod-1(RNAi) (n = 25 hatchlings) bacteria, and quantification of spc-1(ra409) L1 hatchling body length after feeding. Data represent mean ± s.d. Two-sided paired t-test. cj, Elongation curves and (d) corresponding DIC images showing the terminal phenotypes at hatching of wild type (d; n = 12 embryos), fhod-1(tm2363) (e; n = 10 embryos), fhod-1(RNAi) (f; n = 10 embryos), pak-1(tm403) (g; n = 11 embryos), fhod-1(RNAi) pak1(tm403) (h; n = 10 embryos), spc-1(RNAi) pak-1(tm403) (i; n = 8 embryos) and fhod-1(tm2363); spc-1(RNAi) (j; n = 9 embryos). Data in c represent mean ± s.e.m. Scale bar, 25 µm.

Source data

Extended Data Fig. 8 PAK-1 and FHOD-1 form aggregates in spc-1(RNAi) loss of function.

a, PAK-1::GFP localization in wild-type and spc-1(RNAi) embryos. Yellow box, area enlarged below the panel. Note the punctae in SPC-1 deficient embryos. b, FHOD-1 localization in wild-type and spc-1(RNAi) embryos. Note the aggregates (arrowheads). Note also that FHOD-1::GFP displayed a filamentous organization reminiscent of actin filaments. Scale bar, 10 µm.

Extended Data Fig. 9 Actin displacement ratio.

ad, Spinning-disc microscopy tracking of actin filaments visualized with a Pdpy-7::Lifeact::GFP marker specifically expressed in the epidermis. Individual displacement tracks of wild-type (a), pak-1(tm403) (b), spc-1(RNAi) (c) and spc-1(RNAi) pak-1(tm403) (d) embryos at a stage equivalent to twofold in a wild-type embryo. Scale bar, 10 µm. e, Typical kymographs of the Lifeact::GFP–labelled actin filaments in wild-type and spc-1(RNAi) pak-1(tm403) embryos from which the tracks in ad were derived. Time interval between two images is 0.41 s. Yellow dots correspond to landmarks for quantitative analysis. f, Quantification of the displacement duration in (N = number of embryos, n = number of contractions): wild type, N = 11, n = 51; pak-1(tm403), N = 11, n = 26; spc-1(RNAi), N = 11, n = 73; spc-1(RNAi) pak-1(tm403), N = 11, n = 89. Data represent median values, 25th and 75th percentiles. The whiskers extend to the most extreme data points not considered outliers. Two-sided paired t-test. *P < 0.05; **P < 0.001; ***P < 0.0001; n.s., not significant.

Source data

Supplementary information

Supplementary Information

This file contains details of Supplementary Mechanical Modelling and Supplementary References.

Reporting Summary

Supplementary Tables

This file contains Supplementary Tables 1-8.

Supplementary Data 1

Results of statistical tests: P-values for all statistical tests (even when not displayed on the figures).

Supplementary Data 2

Number of replicates: Number of analyzed embryos and independent repeats of all experiments.

Video 1

Embryonic elongation and retraction profiles Combined DIC timelapse video. Image acquisition was every 5 minutes in wild-type, pak-1(tm403)spc-1(RNAi)spc-1(RNAi) pak-1(tm403) embryos. Scale Bar, 10 µm.

Video 2

Muscle-dependence of the retraction profile Combined DIC timelapse video of unc-112(RNAi) and unc-112(RNAi); spc-1(RNAi) pak-1(tm403) embryos. Scale Bar,10 µm.

Video 3

 Retraction profile of fhod-1; spc-1 defective embryos Combined DIC timelapse videos of spc-1(ra409) and fhod-1(RNAi); spc-1(ra409) embryos. Scale Bar, 10 µm.

Video 4

Epithelial actin displacement in mutants Fluorescence video showing the displacement of actin filaments labelled with Pdpy-7::lifeact::GFP in the epidermis in wild-type, pak-1(tm403)spc-1(RNAi) and  spc-1(RNAi) pak-1(tm403) embryos. Time interval, 0.41 s. Scale Bar,10 µm.

Source data

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Lardennois, A., Pásti, G., Ferraro, T. et al. An actin-based viscoplastic lock ensures progressive body-axis elongation. Nature 573, 266–270 (2019). https://doi.org/10.1038/s41586-019-1509-4

Download citation

Further reading

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing