A. M. Turing, The chemical basis of morphogenesis, Philos Transact B, biological sciences, vol.237, p.37, 1952.

M. C. Cross and P. C. Hohenberg, Pattern formation outside of equilibrium, Rev. Mod. Phys, vol.65, p.851, 1993.

A. J. Koch and H. Meinhardt, Biological pattern formation: from basic mechanisms to complex structures, Rev. Mod. Phys, vol.66, p.1481, 1994.

S. Kondo and T. Miura, Reaction-diffusion model as a framework for understanding biological pattern formation, Science, vol.329, p.1616, 2010.

J. Halatek, F. Brauns, and E. Frey, Self-organization principles of intracellular pattern formation, Philos Trans R Soc Lond B Biol Sci, vol.373, 2018.

C. Albigès-rizo, O. Destaing, B. Fourcade, E. Planus, and M. R. Block, Actin machinery and mechanosensitivity in invadopodia, podosomes and focal adhesions, J Cell Sci, vol.122, p.3037, 2009.

R. O. Hynes, Integrins: bidirectional, allosteric signaling machines, Cell, vol.110, p.673, 2002.

R. Changede, X. Xu, F. Margadant, and M. P. Sheetz, Nascent integrin adhesions form on all matrix rigidities after integrin activation, Dev Cell, vol.35, p.614, 2015.

M. J. Paszek, D. Boettiger, V. M. Weaver, and D. A. Hammer, Integrin clustering is driven by mechanical resistance from the glycocalyx and the substrate, PLoS Comput Biol, vol.5, p.1000604, 2009.

M. J. Paszek, C. C. Dufort, O. Rossier, R. Bainer, J. K. Mouw et al., The cancer glycocalyx mechanically primes integrin-mediated growth and survival, Nature, vol.511, p.319, 2014.

E. Roob, N. Trendel, P. Rein-ten-wolde, and A. Mugler, Cooperative clustering digitizes biochemical signaling and enhances its fidelity, Biophys J, vol.110, p.1661, 2016.

W. R. Holmes, B. Lin, A. Levchenko, and L. Edelstein-keshet, Modelling cell polarization driven by synthetic spatially graded rac activation, PLoS Comput Biol, vol.8, p.1002366, 2012.

J. Das, M. Kardar, and A. K. Chakraborty, Positive feedback regulation results in spatial clustering and fast spreading of active signaling molecules on a cell membrane, The Journal of Chemical Physics, vol.130, p.245102, 2009.

M. Wehrens, P. R. Ten-wolde, and A. Mugler, Positive feedback can lead to dynamic nanometer-scale clustering on cell membranes, J Chem Phys, vol.141, p.205102, 2014.

G. , D. Paolo, and P. Camilli, Phosphoinositides in cell regulation and membrane dynamics, Nature, vol.443, p.651, 2006.

J. Saarikangas, H. Zhao, and P. Lappalainen, Regulation of the actin cytoskeleton-plasma membrane interplay by phosphoinositides, Physiol Rev, vol.90, p.259, 2010.

P. A. Janmey, R. Bucki, and R. Radhakrishnan, Regulation of actin assembly by pi(4,5)p2 and other inositol phospholipids: An update on possible mechanisms, Biochem Biophys Res Commun, vol.506, p.307, 2018.

G. D. Paolo, L. Pellegrini, K. Letinic, G. Cestra, R. Zoncu et al., Recruitment and regulation of phosphatidylinositol phosphate kinase type 1[gamma] by the ferm domain of talin, Nature, vol.420, p.85, 2002.

V. Martel, C. Racaud-sultan, S. Dupe, C. Marie, F. Paulhe et al., Conformation, localization, and integrin binding of talin depend on its interaction with phosphoinositides, J Biol Chem, vol.276, p.21217, 2001.

K. Ling, R. L. Doughman, A. J. Firestone, M. W. Bunce, and R. A. Anderson, Type i gamma phosphatidylinositol phosphate kinase targets and regulates focal adhesions, Nature, vol.420, p.89, 2002.

F. Saltel, E. Mortier, V. P. Hytönen, M. Jacquier, P. Zimmermann et al., New pi(4,5)p2-and membrane proximal integrin-binding motifs in the talin head control beta3-integrin clustering, J Cell Biol, vol.187, p.715, 2009.

O. Rossier, V. Octeau, J. Sibarita, C. Leduc, B. Tessier et al., Integrins ? 1 and ? 3 exhibit distinct dynamic nanoscale organizations inside focal adhesions, Nat Cell Biol, vol.14, p.1057, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00909235

M. Spiess, P. Hernandez-varas, A. Oddone, H. Olofsson, H. Blom et al., Active and inactive integrins segregate into distinct nanoclusters in focal adhesions, The Journal of Cell Biology, vol.217, 1929.

O. Destaing, E. Planus, D. Bouvard, C. Oddou, C. Badowski et al., integrin is a master regulator of invadosome organization and function, Mol Biol Cell, vol.21, issue.1, p.4108, 2010.
URL : https://hal.archives-ouvertes.fr/inserm-00529654

M. B. Meddens, E. Pandzic, J. A. Slotman, D. Guillet, B. Joosten et al., Actomyosin-dependent dynamic spatial patterns of cytoskeletal components drive mesoscale podosome organization, Nat Commun, vol.7, p.13127, 2016.

M. R. Block, O. Destaing, C. Petropoulos, E. Planus, C. Albigès-rizo et al., Integrin-mediated adhesion as self-sustained waves of enzymatic activation, Phys. Rev. E, vol.92, p.42704, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02062580

A. M. Gonzalez, R. Bhattacharya, G. W. Dehart, and J. C. Jones, Transdominant regulation of integrin function: mechanisms of crosstalk, Cell Signal, vol.22, p.578, 2010.

K. R. Legate, S. Takahashi, N. Bonakdar, B. Fabry, D. Boettiger et al., Integrin adhesion and force coupling are independently regulated by localized ptdins(4,5)(2) synthesis, EMBO J, 2011.

A. Elosegui-artola, E. Bazellières, M. D. Allen, I. Andreu, R. Oria et al., Rigidity sensing and adaptation through regulation of integrin types, Nat Mater, vol.13, p.631, 2014.
URL : https://hal.archives-ouvertes.fr/hal-02406591

A. Elosegui-artola, R. Oria, Y. Chen, A. Kosmalska, C. Pérez-gonzález et al., Mechanical regulation of a molecular clutch defines force transmission and transduction in response to matrix rigidity, Nat Cell Biol, 2016.

J. Li and T. A. Springer, Integrin extension enables ultrasensitive regulation by cytoskeletal force, Proc Natl Acad Sci U S A, vol.114, p.4685, 2017.

A. C. Shibata, T. K. Fujiwara, L. Chen, K. G. Suzuki, Y. Ishikawa et al., Archipelago architecture of the focal adhesion: membrane molecules freely enter and exit from the focal adhesion zone, Cytoskeleton (Hoboken), vol.69, p.380, 2012.

J. Murray, Mathematical Biology, 1989.

R. Erban, S. J. Chapman, and P. K. Maini, A practical guide to stochastic simulations of reaction-diffusion process, 1908.

Y. Cao and R. Erban, Stochastic Turing patterns: analysis of compartment-based approaches, Bull Math Biol, vol.76, p.3051, 2014.

M. Vigelius and B. Meyer, Stochastic simulations of pattern formation in excitable media, PLoS One, vol.7, p.42508, 2012.

C. B. Muratov, E. Vanden-eijnden, and W. E. , Self-induced stochastic resonance in excitable systems, Physica D: Nonlinear Phenomena, vol.210, p.227, 2005.

D. A. Calderwood, V. Tai, G. D. Paolo, P. D. Camilli, and M. H. Ginsberg, Competition for talin results in trans-dominant inhibition of integrin activation, J Biol Chem, vol.279, p.28889, 2004.

H. Meinhardt and A. Gierer, Pattern formation by local selfactivation and lateral inhibition, Bioessays, vol.22, p.753, 2000.

M. Ward, Asymptotic methods for reaction-diffusion systems: Past and present, Bull Math Biol, vol.68, p.1151, 2006.

J. Allard and A. Mogilner, Traveling waves in actin dynamics and cell motility, Current Opinion in Cell Biology, vol.25, p.107, 2013.

K. R. Legate and R. Fässler, Mechanisms that regulate adaptor binding to beta-integrin cytoplasmic tails, J Cell Sci, vol.122, p.187, 2009.

K. R. Legate, S. Takahashi, N. Bonakdar, B. Fabry, D. Boettiger et al., Integrin adhesion and force coupling are independently regulated by localized ptdins(4,5)2synthesis, The EMBO Journal, vol.30, p.4539, 2011.

J. Yang, L. Zhu, H. Zhang, J. Hirbawi, K. Fukuda et al., Conformational activation of talin by riam triggers integrin-mediated cell adhesion, Nat Commun, vol.5, p.5880, 2014.

A. R. Gingras, F. Lagarrigue, M. N. Cuevas, A. J. Valadez, M. Zorovich et al., Rap1 binding and a lipid-dependent helix in talin f1 domain promote integrin activation in tandem, J Cell Biol, 2019.

E. Zamir, M. Katz, Y. Posen, N. Erez, K. M. Yamada et al., Dynamics and segregation of cell-matrix adhesions in cultured fibroblasts, Nat Cell Biol, vol.2, p.191, 2000.

A. Kerjouan, C. Boyault, C. Oddou, E. Hiriart-bryant, A. Grichine et al., Molecular flux control encodes distinct cytoskeletal responses by specifying SRC signaling pathway usage, 2019.

C. B. Muratov and V. V. Osipov, Spike autosolitons in the Gray-Scott model, Tech. Rep, 2002.

C. B. Muratov and V. Osipov, Stability of the static spike autosilitons in the gray-scott model, SIAM Journal on Applied Mathematics, vol.62, p.1463, 2002.

D. S. Morgan and T. J. Kaper, Axisymmetric ring solutions of the 2d gray-scott model and their destabilization into spots, Physica D: Nonlinear Phenomena, vol.192, p.33, 2004.

T. Kolokolnikov and J. Wei, On ring-like solutions for the grayscott model: existence, instability and self-replicating rings, European Journal of Applied Mathematics, vol.201, 2005.

I. Gradshteyn and I. Ryzhik, Table of Integrals, Series, and Products, 1980.