L. Wolpert and C. Tickle, Principles of development, 2011.

N. Tompkins, Testing Turing's theory of morphogenesis in chemical cells, Proc. Natl. Acad
DOI : 10.1038/nphys1651

R. Yoshida, T. Takahashi, T. Yamaguchi, and H. Ichijo, Self-Oscillating Gel, Journal of the American Chemical Society, vol.118, issue.21, pp.5134-5135, 1996.
DOI : 10.1021/ja9602511

K. E. Inostroza-brito, Co-assembly, spatiotemporal control and morphogenesis of a hybrid protein???peptide system, Nature Chemistry, vol.7, issue.11, pp.897-904, 2015.
DOI : 10.1016/j.biomaterials.2012.04.040

A. M. Turing, The Chemical Basis of Morphogenesis, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.237, issue.641, pp.37-72, 1952.
DOI : 10.1098/rstb.1952.0012

L. Wolpert, Positional information and the spatial pattern of cellular differentiation, Journal of Theoretical Biology, vol.25, issue.1, pp.1-47, 1969.
DOI : 10.1016/S0022-5193(69)80016-0

J. B. Green and J. Sharpe, Positional information and reaction-diffusion: two big ideas in developmental biology combine, Development, vol.142, issue.7, pp.1203-1214, 2015.
DOI : 10.1242/dev.114991
URL : http://dev.biologists.org/content/develop/142/7/1203.full.pdf

S. Rulands, B. Klünder, and E. Frey, Stability of Localized Wave Fronts in Bistable Systems, Physical Review Letters, vol.110, issue.3, p.38102, 2013.
DOI : 10.1016/j.ydbio.2007.10.037

C. Quiñinao, A. Prochiantz, and J. Touboul, Local homeoprotein diffusion can stabilize boundaries generated by graded positional cues, Development, vol.142, issue.10, pp.1860-1868, 2015.
DOI : 10.1242/dev.113688

R. Sheth, Hox Genes Regulate Digit Patterning by Controlling the Wavelength of a Turing-Type Mechanism, Science, vol.214, issue.4, pp.1476-1480, 2012.
DOI : 10.1006/jtbi.2001.2480

A. D. Economou, Periodic stripe formation by a Turing mechanism operating at growth zones in the mammalian palate, Nature Genetics, vol.129, issue.3, pp.348-351, 2012.
DOI : 10.1016/j.devcel.2005.02.009

D. S. Johnston and C. Nüsslein-volhard, The origin of pattern and polarity in the Drosophila embryo, Cell, vol.68, issue.2, pp.201-219, 1992.
DOI : 10.1016/0092-8674(92)90466-P

J. Briscoe and S. Small, Morphogen rules: design principles of gradient-mediated embryo patterning, Development, vol.142, issue.23, pp.3996-4009, 2015.
DOI : 10.1242/dev.129452
URL : http://dev.biologists.org/content/develop/142/23/3996.full.pdf

V. 14-castets, E. Dulos, J. Boissonade, and P. De-kepper, Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern, Physical Review Letters, vol.49, issue.24, p.2953, 1990.
DOI : 10.1103/PhysRevLett.49.1891

M. Isalan, C. Lemerle, and L. Serrano, Engineering Gene Networks to Emulate Drosophila Embryonic Pattern Formation, PLoS Biology, vol.98, issue.3, pp.488-496, 2005.
DOI : 10.1371/journal.pbio.0030064.sd003
URL : https://doi.org/10.1371/journal.pbio.0030064

M. Loose, E. Fischer-friedrich, J. Ries, K. Kruse, and P. Schwille, Spatial Regulators for Bacterial Cell Division Self-Organize into Surface Waves in Vitro, Science, vol.3, issue.4, pp.789-792, 2008.
DOI : 10.1088/1478-3975/3/4/003

A. Padirac, T. Fujii, A. Estevez-torres, and Y. Rondelez, Spatial Waves in Synthetic Biochemical Networks, Journal of the American Chemical Society, vol.135, issue.39, pp.14586-14592, 2013.
DOI : 10.1021/ja403584p

S. M. Chirieleison, P. B. Allen, Z. B. Simpson, A. D. Ellington, and X. , Pattern transformation with DNA circuits, Nature Chemistry, vol.32, issue.12, pp.1000-1005, 2013.
DOI : 10.1002/jcc.21633
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3970425/pdf

S. N. Semenov, A. J. Markvoort, T. F. De-greef, and W. T. Huck, Threshold Sensing through a Synthetic Enzymatic Reaction-Diffusion Network, Angewandte Chemie International Edition, vol.52, issue.31, pp.8066-8069, 2014.
DOI : 10.1002/anie.201208397

A. M. Tayar, E. Karzbrun, V. Noireaux, and R. H. Bar-ziv, Propagating gene expression fronts in a one-dimensional coupled system of artificial cells, Nature Physics, vol.52, issue.12, pp.1037-1041, 2015.
DOI : 10.1146/annurev.micro.52.1.231

J. Lewis, J. M. Slack, and L. Wolpert, Thresholds in development, Journal of Theoretical Biology, vol.65, issue.3, pp.579-590, 1977.
DOI : 10.1016/0022-5193(77)90216-8

P. 22-françois, V. Hakim, and E. Siggia, Deriving structure from evolution: metazoan segmentation, Mol. Syst. Biol, vol.3, p.154, 2007.

F. J. Lopes, F. M. Vieira, D. M. Holloway, P. M. Bisch, and A. Spirov, Spatial Bistability Generates hunchback Expression Sharpness in the Drosophila Embryo, PLoS Computational Biology, vol.12, issue.9, p.1000184, 2008.
DOI : 10.1371/journal.pcbi.1000184.s015

D. Scalise and R. Schulman, Designing modular reaction-diffusion programs for complex pattern formation, TECHNOLOGY, vol.18, issue.01, pp.55-66, 2014.
DOI : 10.1021/bi035203p

A. S. 25-zadorin, Y. Rondelez, J. Galas, and A. Estevez-torres, Synthesis of Programmable Reaction-Diffusion Fronts Using DNA Catalyzers, Physical Review Letters, vol.6, issue.6, p.68301, 2015.
DOI : 10.1142/S2339547814500071

K. Montagne, R. Plasson, Y. Sakai, T. Fujii, and Y. Rondelez, Programming an in vitro DNA oscillator using a molecular networking strategy, Molecular Systems Biology, vol.131, issue.1, p.466, 2011.
DOI : 10.1021/ja906987s

T. Fujii and Y. Rondelez, Predator???Prey Molecular Ecosystems, ACS Nano, vol.7, issue.1, pp.27-34, 2013.
DOI : 10.1021/nn3043572

A. Padirac, T. Fujii, and Y. Rondelez, Bottom-up construction of in vitro switchable memories, Proc. Natl. Acad. Sci. USA 10.1073/pnas, p.1212069109, 2012.
DOI : 10.1016/S0955-0674(03)00017-6

A. Zambrano, A. S. Zadorin, Y. Rondelez, A. Estevez-torres, and J. C. Galas, Pursuit-and-Evasion Reaction-Diffusion Waves in Microreactors with Tailored Geometry, The Journal of Physical Chemistry B, vol.119, issue.17, pp.5349-5355, 2015.
DOI : 10.1021/jp509474w

K. Montagne, G. Gines, T. Fujii, and Y. Rondelez, Boosting functionality of synthetic DNA circuits with tailored deactivation, Nature Communications, vol.29, p.13474, 2016.
DOI : 10.1093/nar/29.22.4617
URL : https://hal.archives-ouvertes.fr/hal-01419361

. Manu, Canalization of Gene Expression and Domain Shifts in the Drosophila Blastoderm by Dynamical Attractors, PLoS Computational Biology, vol.49, issue.3, p.1000303, 2009.
DOI : 10.1371/journal.pcbi.1000303.s021
URL : https://hal.archives-ouvertes.fr/inria-00431228

C. A. Mirkin, R. L. Letsinger, R. C. Mucic, and J. J. Storhoff, A DNA-based method for rationally assembling nanoparticles into macroscopic materials, Nature, vol.382, issue.6592, pp.607-609, 1996.
DOI : 10.1038/382607a0

J. Howard, S. W. Grill, and J. S. Bois, Turing's next steps: the mechanochemical basis of morphogenesis, Nature Reviews Molecular Cell Biology, vol.26, issue.6, pp.392-398, 2011.
DOI : 10.1523/JNEUROSCI.2812-06.2006

V. K. Vanag and I. R. Epstein, Pattern formation mechanisms in reaction-diffusion systems, The International Journal of Developmental Biology, vol.53, issue.5-6, pp.673-681, 2009.
DOI : 10.1387/ijdb.072484vv
URL : http://www.ijdb.ehu.es/web/descarga/paper/072484vv

H. W. Van-roekel, Programmable chemical reaction networks: emulating regulatory functions in living cells using a bottom-up approach, Chemical Society Reviews, vol.25, issue.21, pp.7465-7483, 2015.
DOI : 10.1021/cm303313a

H. H. Rotermund, S. Jakubith, A. Von-oertzen, and G. Ertl, Solitons in a surface reaction, Physical Review Letters, vol.136, issue.23, pp.3083-3086, 1991.
DOI : 10.1016/0375-9601(89)90300-9

O. Descalzi, N. Akhmediev, and H. Brand, Exploding dissipative solitons in reaction-diffusion systems, Physical Review E, vol.1, issue.4, p.42911, 2013.
DOI : 10.1016/S0303-2647(00)00111-8

B. A. Grzybowski, K. J. Bishop, C. J. Campbell, M. Fialkowski, and S. K. Smoukov, Micro- and nanotechnology via reaction???diffusion, Soft Matter, vol.18, issue.2, pp.114-128, 2005.
DOI : 10.1103/PhysRevE.66.051906

E. Nakouzi and O. Steinbock, Self-organization in precipitation reactions far from the equilibrium, Science Advances, vol.2, issue.8, 2016.
DOI : 10.1126/sciadv.1601144

P. W. 40-rothemund, Folding DNA to create nanoscale shapes and patterns, Nature, vol.4, issue.7082, pp.297-302, 2006.
DOI : 10.1021/nl048635+

E. Franco, Timing molecular motion and production with a synthetic transcriptional clock, Proceedings of the National Academy of Sciences, vol.4, issue.6796
DOI : 10.1038/35020524
URL : http://www.pnas.org/content/108/40/E784.full.pdf

J. B. Lee, A mechanical metamaterial made from a DNA hydrogel, Nature Nanotechnology, vol.7, issue.12, pp.816-820, 2012.
DOI : 10.1002/adma.201003343

Z. J. Gartner and D. R. Liu, The Generality of DNA-Templated Synthesis as a Basis for Evolving Non-Natural Small Molecules, Journal of the American Chemical Society, vol.123, issue.28, pp.6961-6963, 2001.
DOI : 10.1021/ja015873n

A. Patwa, A. Gissot, I. Bestel, and P. Barthelemy, Hybrid lipid oligonucleotide conjugates: synthesis, self-assemblies and biomedical applications, Chemical Society Reviews, vol.16, issue.12, pp.5844-5854, 2011.
DOI : 10.1038/mt.2008.14

R. Jin, G. Wu, Z. Li, C. A. Mirkin, and G. C. Schatz, What Controls the Melting Properties of DNA-Linked Gold Nanoparticle Assemblies?, Journal of the American Chemical Society, vol.125, issue.6, pp.1643-1654, 2003.
DOI : 10.1021/ja021096v

O. Wartlick, A. Kicheva, and M. González-gaitán, Morphogen Gradient Formation, Cold Spring Harbor Perspectives in Biology, vol.1, issue.3, 2009.
DOI : 10.1101/cshperspect.a001255
URL : http://cshperspectives.cshlp.org/content/1/3/a001255.full.pdf

G. Gines, Microscopic agents programmed by DNA circuits, Nature Nanotechnology, vol.4, issue.4, 2017.
DOI : 10.1016/S1074-5521(97)90234-9
URL : https://hal.archives-ouvertes.fr/hal-01489464

C. A. Giurumescu and A. R. Asthagiri, Chapter 14 -Systems Approaches to Developmental Patterning, pp.329-350, 2010.
DOI : 10.1016/b978-0-12-372550-9.00014-6

S. Y. 49-shvartsman and R. E. Baker, Mathematical models of morphogen gradients and their effects on gene expression, Wiley Interdisciplinary Reviews: Developmental Biology, vol.426, issue.5, pp.715-730, 2012.
DOI : 10.1038/nature02189

T. Wakamatsu, Structure of RecJ Exonuclease Defines Its Specificity for Single-stranded DNA, Journal of Biological Chemistry, vol.181, issue.13
DOI : 10.1038/emboj.2009.278

M. E. Leunissen, Towards self-replicating materials of DNA-functionalized colloids, Soft Matter, vol.99, issue.12, p.2422, 2009.
DOI : 10.1080/07391102.1990.10507829