Controlling liquid–liquid phase behaviour with an active fluid
Source abstract
Abstract
Demixing binary liquids is a ubiquitous transition explained using a well-established thermodynamic formalism that requires the equality of intensive thermodynamics parameters across phase boundaries. Demixing transitions also occur when binary fluid mixtures are driven away from equilibrium, but predicting and designing such out-of-equilibrium transitions remains a challenge. Here we study the liquid-liquid phase separation of attractive DNA nanostars driven away from equilibrium using a microtubule-based active fluid. We find that activity lowers the critical temperature and narrows the range of coexistence concentrations, but only in the presence of mechanical bonds between the liquid droplets and reconfiguring active fluid. Similar behaviours are observed in numerical simulations, suggesting that the activity suppression of the critical point is a generic feature of active liquid-liquid phase separation. Our work describes a versatile platform for building soft active materials with feedback control and providing an insight into self-organization in cell biology.
Source: europepmc · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Micro and Nano Robotics · Nanopore and Nanochannel Transport Studies · Advanced Thermodynamics and Statistical Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (56)
Show source-provided references
1. Wolde, P. R. T. & Frenkel, D. Enhancement of protein crystal nucleation by critical density fluctuations. Science 277, 1975–1978 (1997).10.1126/science.277.5334.1975 ↗
2. van de Witte, P., Dijkstra, P., Van den Berg, J. & Feijen, J. Phase separation processes in polymer solutions in relation to membrane formation. J. Membr. Sci. 117, 1–31 (1996).10.1016/0376-7388(96)00088-9 ↗
3. Ianiro, A. et al. Liquid–liquid phase separation during amphiphilic self-assembly. Nat. Chem. 11, 320–328 (2019).10.1038/s41557-019-0210-4 ↗
4. Brangwynne, C. P. et al. Germline P granules are liquid droplets that localize by controlled dissolution/condensation. Science 324, 1729–1732 (2009).10.1126/science.1172046 ↗
5. Hinze, J. O. Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes. AlChE J. 1, 289–295 (1955).10.1002/aic.690010303 ↗
6. Onuki, A. Phase transitions of fluids in shear flow. J. Phys. Condens. Matter 9, 6119 (1997).10.1088/0953-8984/9/29/001 ↗
7. Berthier, L. Phase separation in a homogeneous shear flow: morphology, growth laws, and dynamic scaling. Phys. Rev. E 63, 051503 (2001).10.1103/PhysRevE.63.051503 ↗
8. Han, C. C., Yao, Y., Zhang, R. & Hobbie, E. K. Effect of shear flow on multi-component polymer mixtures. Polymer 47, 3271–3286 (2006).10.1016/j.polymer.2006.03.024 ↗
9. Olmsted, P. D. Perspectives on shear banding in complex fluids. Rheol. Acta 47, 283–300 (2008).10.1007/s00397-008-0260-9 ↗
10. Zhang, R. et al. Phase separation mechanism of polybutadiene/polyisoprene blends under oscillatory shear flow. Macromolecules 41, 6818–6829 (2008).10.1021/ma800646s ↗
11. Pine, D., Easwar, N., Maher, J. V. & Goldburg, W. Turbulent suppression of spinodal decomposition. Phys. Rev. A 29, 308 (1984).10.1103/PhysRevA.29.308 ↗
12. Marchetti, M. C. et al. Hydrodynamics of soft active matter. Rev. Mod. Phys. 85, 1143 (2013).10.1103/RevModPhys.85.1143 ↗
13. Nakashima, K. K., van Haren, M. H., André, A. A., Robu, I. & Spruijt, E. Active coacervate droplets are protocells that grow and resist Ostwald ripening. Nat. Commun. 12, 3819 (2021).10.1038/s41467-021-24111-x ↗
14. Nguyen, N. H., Klotsa, D., Engel, M. & Glotzer, S. C. Emergent collective phenomena in a mixture of hard shapes through active rotation. Phys. Rev. Lett. 112, 075701 (2014).10.1103/PhysRevLett.112.075701 ↗
15. Soni, V. et al. The odd free surface flows of a colloidal chiral fluid. Nat. Phys. 15, 1188–1194 (2019).10.1038/s41567-019-0603-8 ↗
16. Testa, A. et al. Sustained enzymatic activity and flow in crowded protein droplets. Nat. Commun. 12, 6293 (2021).10.1038/s41467-021-26532-0 ↗
17. Adkins, R. et al. Dynamics of active liquid interfaces. Science 377, 768–772 (2022).10.1126/science.abo5423 ↗
18. Theurkauff, I., Cottin-Bizonne, C., Palacci, J., Ybert, C. & Bocquet, L. Dynamic clustering in active colloidal suspensions with chemical signaling. Phys. Rev. Lett. 108, 268303 (2012).10.1103/PhysRevLett.108.268303 ↗
19. Palacci, J., Sacanna, S., Steinberg, A. P., Pine, D. J. & Chaikin, P. M. Living crystals of light-activated colloidal surfers. Science 339, 936–940 (2013).10.1126/science.1230020 ↗
20. Redner, G. S., Hagan, M. F. & Baskaran, A. Structure and dynamics of a phase-separating active colloidal fluid. Phys. Rev. Lett. 110, 055701 (2013).10.1103/PhysRevLett.110.055701 ↗
21. Zhang, J., Alert, R., Yan, J., Wingreen, N. S. & Granick, S. Active phase separation by turning towards regions of higher density. Nat. Phys. 17, 961–967 (2021).10.1038/s41567-021-01238-8 ↗
22. Fily, Y. & Marchetti, M. C. Athermal phase separation of self-propelled particles with no alignment. Phys. Rev. Lett. 108, 235702 (2012)10.1103/PhysRevLett.108.235702 ↗
23. Redner, G. S., Baskaran, A. & Hagan, M. F. Reentrant phase behavior in active colloids with attraction. Phys. Rev. E 88, 012305 (2013).10.1103/PhysRevE.88.012305 ↗
24. Schwarz-Linek, J. et al. Phase separation and rotor self-assembly in active particle suspensions. Proc. Natl Acad. Sci. USA 109, 4052–4057 (2012).10.1073/pnas.1116334109 ↗
25. Ross, T. D. et al. Controlling organization and forces in active matter through optically defined boundaries. Nature 572, 224–229 (2019).10.1038/s41586-019-1447-1 ↗
26. Banani, S. F., Lee, H. O., Hyman, A. A. & Rosen, M. K. Biomolecular condensates: organizers of cellular biochemistry. Nat. Rev. Mol. Cell Biol. 18, 285–298 (2017).10.1038/nrm.2017.7 ↗
27. Biffi, S. et al. Phase behavior and critical activated dynamics of limited-valence DNA nanostars. Proc. Natl Acad. Sci. USA 110, 15633–15637 (2013).10.1073/pnas.1304632110 ↗
28. Sanchez, T., Chen, D. T., DeCamp, S. J., Heymann, M. & Dogic, Z. Spontaneous motion in hierarchically assembled active matter. Nature 491, 431–434 (2012).10.1038/nature11591 ↗
29. Conrad, N., Kennedy, T., Fygenson, D. K. & Saleh, O. A. Increasing valence pushes DNA nanostar networks to the isostatic point. Proc. Natl Acad. Sci. USA 116, 7238–7243 (2019).10.1073/pnas.1819683116 ↗
30. Jeon, B.-j et al. Salt-dependent properties of a coacervate-like, self-assembled DNA liquid. Soft Matter 14, 7009–7015 (2018).10.1039/C8SM01085D ↗
31. Nguyen, D. T., Jeon, B.-j, Abraham, G. R. & Saleh, O. A. Length-dependence and spatial structure of DNA partitioning into a DNA liquid. Langmuir 35, 14849–14854 (2019).10.1021/acs.langmuir.9b02098 ↗
32. Tayar, A. M., Hagan, M. F. & Dogic, Z. Active liquid crystals powered by force-sensing DNA-motor clusters. Proc. Natl Acad. Sci. USA 118, e2102873118 (2021).10.1073/pnas.2102873118 ↗
33. Hilitski, F. et al. Measuring cohesion between macromolecular filaments one pair at a time: depletion-induced microtubule bundling. Phys. Rev. Lett. 114, 138102 (2015).10.1103/PhysRevLett.114.138102 ↗
34. Andre, A. A. M., Yewdall, N. A. & Spruijt, E. Crowding-induced phase separation and gelling by co-condensation of PEG in NPM1-rRNA condensates. Biophys. J. 122, 397–407 (2023).10.1016/j.bpj.2022.12.001 ↗
35. Bate, T. E., Jarvis, E. J., Varney, M. E. & Wu, K.-T. Collective dynamics of microtubule-based 3D active fluids from single microtubules. Soft Matter 15, 5006–5016 (2019).10.1039/C9SM00123A ↗
36. Singh, R. & Cates, M. Hydrodynamically interrupted droplet growth in scalar active matter. Phys. Rev. Lett. 123, 148005 (2019).10.1103/PhysRevLett.123.148005 ↗
37. Tiribocchi, A., Wittkowski, R., Marenduzzo, D. & Cates, M. E. Active model H: scalar active matter in a momentum-conserving fluid. Phys. Rev. Lett. 115, 188302 (2015)10.1103/PhysRevLett.115.188302 ↗
38. Chandrakar, P. et al. Confinement controls the bend instability of three-dimensional active liquid crystals. Phys. Rev. Lett. 125, 257801 (2020).10.1103/PhysRevLett.125.257801 ↗
39. Thampi, S. P., Golestanian, R. & Yeomans, J. M. Velocity correlations in an active nematic. Phys. Rev. Lett. 111, 118101 (2013).10.1103/PhysRevLett.111.118101 ↗
40. Blow, M. L., Thampi, S. P. & Yeomans, J. M. Biphasic, lyotropic, active nematics. Phys. Rev. Lett. 113, 248303 (2014).10.1103/PhysRevLett.113.248303 ↗
41. Giomi, L. & DeSimone, A. Spontaneous division and motility in active nematic droplets. Phys. Rev. Lett. 112, 147802 (2014).10.1103/PhysRevLett.112.147802 ↗
42. Hughes, R. & Yeomans, J. M. Collective chemotaxis of active nematic droplets. Phys. Rev. E 102, 020601 (2020).10.1103/PhysRevE.102.020601 ↗
43. Marenduzzo, D., Orlandini, E., Cates, M. & Yeomans, J. Steady-state hydrodynamic instabilities of active liquid crystals: hybrid lattice Boltzmann simulations. Phys. Rev. E 76, 031921 (2007).10.1103/PhysRevE.76.031921 ↗
44. Simha, R. A. & Ramaswamy, S. Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. Phys. Rev. Lett. 89, 058101 (2002).10.1103/PhysRevLett.89.058101 ↗
45. Cates, M. E. in Active Matter and Nonequilibrium Statistical Physics: Lecture Notes of the Les Houches Summer School Vol. 112 (eds Gompper, G., Cristina Marchetti, M., Tailleur, J. & Yeomans, J. M.) (Oxford Univ. Press, 2019).
46. Foster, P. J. et al. Dissipation and energy propagation across scales in an active cytoskeletal material. Proc. Natl Acad. Sci. USA 120, e2207662120 (2023).10.1073/pnas.2207662120 ↗
47. Shin, Y. & Brangwynne, C. P. Liquid phase condensation in cell physiology and disease. Science 357, eaaf4382 (2017)10.1126/science.aaf4382 ↗
48. Fritsch, A. W. et al. Local thermodynamics govern formation and dissolution of Caenorhabditis elegans P granule condensates. Proc. Natl Acad. Sci. USA 118, e2102772118 (2021).10.1073/pnas.2102772118 ↗
49. Setru, S. U. et al. A hydrodynamic instability drives protein droplet formation on microtubules to nucleate branches. Nat. Phys. 17, 493-498 (2021).10.1038/s41567-020-01141-8 ↗
50. Wiegand, T. & Hyman, A. A. Drops and fibers—how biomolecular condensates and cytoskeletal filaments influence each other. Emerg. Top. Life Sci. 4, 247–261 (2020).10.1042/ETLS20190174 ↗
51. Castoldi, M. & Popova, A. V. Purification of brain tubulin through two cycles of polymerization-depolymerization in a high-molarity buffer. Protein Expr. Purif. 32, 83–88 (2003).10.1016/S1046-5928(03)00218-3 ↗
52. Tayar, A. M., Lemma, L. M. & Dogic, Z. Assembling microtubule-based active matter. Methods Mol. Biol. 2430, 151–183 (2022).10.1007/978-1-0716-1983-4_10 ↗
53. Young, E. C., Berliner, E., Mahtani, H. K., Perezramirez, B. & Gelles, J. Subunit interactions in dimeric kinesin heavy-chain derivated that lack the kinesin rod. J. Biol. Chem. 270, 3926–3931 (1995).10.1074/jbc.270.8.3926 ↗
54. Derr, N. D. et al. Tug-of-war in motor protein ensembles revealed with a programmable DNA origami scaffold. Science 338, 662–665 (2012).10.1126/science.1226734 ↗
55. Goodman, B. S. & Reck-Peterson, S. L. in Reconstituting the Cytoskeleton Methods in Enzymology (ed Vale, R. D.) Vol. 540, 169–188 (2014).10.1016/B978-0-12-397924-7.00010-8 ↗
56. Mitchell, N. P. & Cislo, D. J. TubULAR: tracking in toto deformations of dynamic tissues via constrained maps. Preprint at bioRxiv https://doi.org/10.1101/2022.04.19.488840 (2022).10.1101/2022.04.19.488840 ↗