Max Planck Institute for the Physics of Complex Systems: Publications

Research Highlights Publications Frank Jülicher

2024

Chemical Reactions Regulated by Phase-Separated Condensates S. Laha, J. Bauermann, F. Jülicher, T. C. T. Michaels and C. A. Weber Phys. Rev. Research 6, 043092 (2024) [PDF (1,4 MB)]
Theory of Wetting Dynamics with Surface Binding X. Zhao, S. Liese, A. Honigmann, F. Jülicher and C. A. Weber New J. Phys. 26, 103025 (2024) [PDF (2,3 MB)]
Condensate Formation in Chiral Lattice Gas B. Wang, F. Jülicher and P. Pietzonka New J. Phys. 26, 093031 (2024) [PDF (3,7 MB)]
Active Shape Programming Drives Drosophila Wing Disc Eversion J. F. Fuhrmann, A. Krishna, J. Paijmans, C. Duclut, G. Cwikla, S. Eaton, M. Popovic, F. Jülicher, C. D. Modes, N. A. Dye Sci. Adv.10, eapd0860 (2024) [PDF (7,2 MB)]
Membrane Prewetting by Condensates Promotes Tight-Junction Belt Formation K. Pombo-García, O. Adame-Arana, C. Martin-Lemaitre, F. Jülicher and A. Honigmann Nature 632, 647-655 (2024)
Charge Separation at Liquid Interfaces A. Majee, C. A. Weber and F. Jülicher Phys. Rev. Research 6, 033138 (2024) [PDF (1,2 MB)]
Emergent Chirality in Active Solid Rotation of Pancreas Spheres T. H. Tan, A. Amiri, I. Seijo-Barandiaran, M. F. Staddon, A. Materne, S. Tomas, C. Duclut, M. Popovic, A. Grapin-Botton and F. Jülicher PRX LIFE 2, 033006 (2024) [PDF (16,5 MB)]
Droplet Differentiation by a Chemical Switch X. Chen, R. Seyboldt, J.-U. Sommer, F. Jülicher and T. Harmon Phys. Rev. Lett. 133, 028402 (2024) [PDF (1,3 MB)]
A Cytokinetic Ring-Driven Cell Rotation Achieves Hertwig’s Rule in Early Development T. C. Middelkoop, J. Neipel, C. E. Cornell, R. Naumann, L. G. Pimpale, F. Jülicher and S. W. Grill Proc. Natl. Acad. Sci. USA 121(25), e2318838121 (2024) [PDF (1,9 MB)]
Martingales for Physicists: A Treatise on Stochastic Thermodynamics and Beyond É. Roldán, I. Neri, R. Chetrite, S. Gupta, S. Pigolotti, F. Jülicher and K. Sekimoto Advances in Physics, 1-258 (2024) [PDF (10,7 MB)]
Probe Particles in Odd Active Viscoelastic Fluids: How Activity and Dissipation Determine Linear Stability C. Duclut, S. Bo, R. Lier, J. Armas, P. Surówka and F. Jülicher Phys Rev. E. 109, 044126 (2024) [PDF (1,8 MB)]
Droplet Physics and Intracellular Phase Separation F. Jülicher and C. A. Weber Annu. Rev. Condens. Matter Phys. 2024.15:237-261 (2024) [PDF (1,8 MB)]

2023

Core PCP Mutations Affect Short Time Mechanical Properties but not Tissue Morphogenesis in the Drosophila Pupal Wing R. Piscitello-Gómez, F. S. Gruber, A. Krishna, C. Duclut, C. D. Modes, M. Popovic, F. Jülicher, N. A. Dye, S. Eaton eLife 12:e85581 (2023) [PDF (7,6 MB)]
Odd Cosserat Elasticity in Active Materials P. Surówka, A. Souslov, F. Jülicher, and D. Banerjee Phys. Rev. E 108, 064609 (2023) [PDF (1,2 MB)]
Formation of Liquid Shells in Active Droplet Systems J. Bauermann, G. Bartolucci, J. Boekhoven, C. A. Weber, and F. Jülicher Phys. Rev. Research 5, 043246 (2023) [PDF (1 MB)]
Liquid Spherical Shells are a Non-equilibrium Steady State of Active Droplets A. M. Bergmann, J. Bauermann, G. Bartolucci, C. Donau, M. Stasi, A-L. Holtmannspötter, F. Jülicher, C. A. Weber and J. Boekhoven Nature Communications. 14, 6552 (2023) [PDF (5 MB)]
Lift force in Odd Compressible Fluids R. Lier, C. Duclut, S. Bo, J. Armas, F. Jülicher and P. Surówka Phys. Rev. E 108, L023101 (2023) [PDF (416 kB)]
Heterogeneity in Time Delays between Mutually Synchronized 24 GHz Oscillators C. Hoyer, L. Wetzel, D. Prousalis, J. Wagner, F. Jülicher and F. Ellinger 21st IEEE Interregional NEWCAS Conference (NEWCAS), Edingburgh, United Kingdom, 2023, pp.1-5, doi: 10.1109/NEWCAS57931.2023.10198039 (2023) [PDF (3,1 MB)]
Random Traction Yielding Transition in Epithelial Tissues A. Amiri, C. Duclut, F. Jülicher and M. Popovic Phys. Rev. Lett 131, 188401 (2023) [PDF (707 kB)]
Theory of Rheology and Aging of Protein Condensates R. Takaki, L. Jawerth, M. Popovic and F. Jülicher PRX Life, 1, 013006 (2023) [PDF (1,7 MB)] [Video]
Spontaneous Flow Instabilities of Active Polar Fluids in Three Dimensions A. Singh, Q. Vagne, F. Jülicher and I. F. Sbalzarini Phys. Rev. Research 5, L022061 (2023) [PDF (1,7 MB)]
Optimal Information Usage in Binary Sequential Hypothesis Testing M. Dörpinghaus, I. Neri, É. Roldán and F. Jülicher Theory Probab. Appl. 68, 77-87 (2023) [PDF (353 kB)]
Entrainment of Mutually Synchronized Spatially Distributed 24 Ghz Oscillators C. Hoyer, L. Wetzel, D. Prousalis, J. Wagner, F. Jülicher and F. Ellinger IEEE Transactions on Circuits and Systems I, Regular Papers (2023) [PDF (4,4 MB)]
Topological Morphogenesis of Neuroepithelial Organoids K. Ishihara, A. Mukherjee, E. Gromberg, J. Brugués, E. M. Tanaka and F. Jülicher Nature Physics 19, 177-183 (2023) [PDF (5,1 MB)]
Polarized Branched Actin Modulates Cortical Mechanics to Produce Unequal-size Daughters during Asymmetric Division A. Daeden, A. Mietke, E. Derivery, C. Seum, F. Jülicher and M. Gonzalez-Gaitan Nature Cell Biology 25, 235 (2023) [PDF (18,5 MB)]
Heat Fluctuations in Chemically Active Systems J. Mabillard, C. A. Weber and F. Jülicher Phys. Rev. E 107, 014118 (2023) [PDF (574 kB)]

2022

Broken Living Layers: Dislocations in Active Smectic Liquid Crystals F. Jülicher, J. Prost and J. Toner Phys. Rev. E 106, 054607 (2022) [PDF (631 kB)]
Length Control of Long Cell Protrusions: Rulers, Timers and Transport S. Patra, D. Chowdhury and F. Jülicher Physics Reviews 987, pp. 1-51 (2022) [PDF (5,3 MB)]
Chemical Kinetics and Mass Action in Coexisting Phases J. Bauermann, S. Laha, P. M. McCall, F. Jülicher and C. A. Weber J. Am. Chem. Soc, 144, 19294 (2022) [PDF (3,2 MB)]
Long-range Morphogen Gradient Formation by Cell-to-Cell Signal Propagation J. E. M. Dickmann, J. C. Rink and F. Jülicher Phys. Biol. 19, 066001 (2022) [PDF (4 MB)]
Theory of Nematic and Polar Active Fluid Surfaces G. Salbreux, F. Jülicher, J. Prost and A. Callan-Jones Phys. Rev. Research 4, 033158 (2022) [PDF (2,4 MB)]
Energy and Matter Supply for Active Droplets J. Bauermann, C. A. Weber and F. Jülicher Ann. Phys. 2022, 2200132 (2022) [PDF (1,4 MB)]
A Condensate Dynamic Instability Orchestrates Actomyosin Cortex Activation V. T. Yan, A. Narayanan, T. Wiegand, F. Jülicher and S. W. Grill Nature 609, 597 (2022) [PDF (17 MB)]
Flagella-like Beating of Actin Bundles Driven by Self-organized Myosin Waves M. Pochitaloff, M. Miranda, M. Richard, A. Chaiyasitdhi, Y. Takagi, W. Cao,E. M. De La Cruz, J. R. Sellers, J.-F. Joanny, F. Jülicher, L. Blanchoin and P. Martin Nature Physics, 18, 1240-1247 (2022) [PDF (8,6 MB)]
Passive Odd Viscoelasticity R. Lier, J. Armas, S. Bo, C. Duclut, F. Jülicher, and P. Surówka Phys. Rev. E. 105, 054607 (2022) [PDF (649 kB)]
Active T1 Transitions in Cellular Networks C. Duclut, J. Paijmans, M. M. Inamdar, C. D. Modes and F. Jülicher Eur. Phys. J. E. 45, 29 (2022) [PDF (1,2 MB)]
Molecular Assembly Lines in Active Droplets T. S. Harmon and F. Jülicher Phys. Rev. Lett. 128, 108102 (2022) [PDF (602 kB)] [Video]
Coarse-grained Curvature Tensor on Polygonal Surfaces C. Duclut, A. Amiri, J. Paijmans and F. Jülicher SciPost Phys. Core 5, 011 (2022) [PDF (8,2 MB)]
Co-condensation of Proteins with Single- and Double-stranded DNA R. Renger, J. A. Morin, R. Lemaitre, M. Ruer-Gruss, F. Jülicher, A. Hermann and S. Grill Proc. Natl. Acad. Sci. USA 119(10), e2107871119 (2022) [PDF (2,6 MB)]
Hydrodynamics of Chiral Squirmers P.S. Burada, R. Maity and F. Jülicher Phys. Rev. E 105, 024603 (2022) [PDF (2,1 MB)]
A Gelation Transition Enables the Self-organization of Bipolar Metaphase Spindles B. A. Dalton, D. Oriola, F. Decker, F. Jülicher and J. Brugués Nature Physics 18, 132 (2022) [PDF (5,5 MB)]
Sequence-dependent Surface Condensation of a Pioneer Transcription Factor on DNA J. A. Morin, S. Wittmann, S. Choubey, A. Klosin, S. Golfier, A. A. Hyman, F. Jülicher and S. W. Grill Nature Physics 18, 271 (2022) [PDF (10,9 MB)]
Morphogen gradient scaling by recycling of intracellular Dpp M. Romanova Michailidi, Z. Hadjivasiliou, D. Aguilar-Hidalgo, D. Basagiannis, C. Seum, M. Dubois, F. Jülicher and M. Gonzalez-Gaitan Nature 602, 287 (2022) [PDF (37,2 MB)]

2021

Stochastic Dynamics of Single Molecules across Phase Boundaries S. Bo, L. Hubatsch, J. Bauermann, C. A. Weber and F. Jülicher Phys. Rev. Research 3, 043150 (2021) [PDF (1,1 MB)] [Video]
Nonlinear Rheology of Cellular Networks C. Duclut, J. Paijmans, M. M. Inamdar, C. D. Modes, and F. Jülicher Cells and Development, https://doi.org/10.1016/j.cdev.2021.203746 (2021) [PDF (3,5 MB)]
Thermodynamics of Wetting, Prewetting and Surface Phase Transitions with Surface Binding X. Zhao, G. Bartolucci, A. Honigmann, F. Jülicher and C. Weber New J. Phys. 23,123003 (2021) [PDF (3,7 MB)]
Local Thermodynamics Govern Formation and Dissolution of Caenorhabditis elegans P Granule Condensates A. W. Fritsch, A. F. Diaz-Delgadillo, O. Adame-Arana, C. Hoege, M. Mittasch, M. Kreysing, M. Leaver, A. A. Hyman, F. Jülicher, and C. A. Weber PNAS 118* (37) (2021)* [PDF (1,8 MB)]
Quantifying Entropy Production in Active Fluctuations of the Hair-Cell Bundle from Time Irreversibility and Uncertainty Relations É. Roldán, J. Barral, P. Martin, J. M R Parrondo, and F. Jülicher New J. Phys. 23, 083013 (2021) [PDF (4,1 MB)]
Force Generation by Protein–DNA Co-Condensation T. Quail, S. Golfier, M. Elsner, K. Ishihara, V. Murugesan, R. Renger, F. Jülicher, and J. Brugués Nat. Phys. 17, 1007 (2021) [PDF (11,6 MB)]
A Hydraulic Instability Drives the Cell Death Decision in the Nematode Germline N. T. Chartier, A. Mukherjee, J. Pfanzelter, S. Fürthauer, B. T. Larson, A. W. Fritsch, R. Amini, M. Kreysing, F. Jülicher, and S. W. Grill Nat. Phys. 17, 920 (2021) [PDF (7,3 MB)]
Hydraulic and Electric Control of Cell Spheroids C. Duclut, J. Prost, and F. Jülicher PNAS, 118 (19) (2021) [PDF (0,2MB)]
Inferring the Flow Properties of Epithelial Tissues from their Geometry M. Popović, V. Druelle, N. A. Dye, F. Jülicher and M. Wyart New J. Phys. 23, 033004 (2021) [PDF (2,6 MB)]
Self-Organized Patterning of Cell Morphology via Mechanosensitive Feedback N. A. Dye, M. Popović, K. V. Iyer, J. Fuhrmann, R. Piscitello-Gómez, S. Eaton, and F. Jülicher eLife, 2021;10:e57964 (2021) [PDF (30,8 MB)]
Apico-Basal Cell Compression Regulates Lamin A/C Levels in Epithelial Tissues K. V. Iyer, A. Taubenberger, S. A. Zeidan, N. A. Dye, S. Eaton, and F. Jülicher Nat Commun 12, 1756 (2021) [PDF (6,6 MB)]
Active Viscoelasticity of Odd Materials D. Banerjee, V. Vitelli, F. Jülicher, and P. Surówka Phys. Rev. Lett. 126, 138001 (2021) [PDF (0,5 MB)]
Theory of Time Delayed Genetic Oscillations with External Noisy Regulation J. Negrete Jr, I. M. Lengyel, L. Rohde, R. A. Desai, A. C. Oates, and F. Jülicher New J. Phys. 23, 033030 (2021); https://doi.org/10.5281/zenodo.7584248 [PDF (2,8 MB)]
Transcription Organizes Euchromatin via Microphase Separation L. Hilbert, Y. Sato, K. Kuznetsova, T. Bianucci, H. Kimura, F. Jülicher, A. Honigmann, V. Zaburdaev, and N. L. Vastenhouw Nat Commun 12, 1360, (2021) [PDF (5,6 MB)]
Epithelial Colonies In Vitro Elongate through Collective Effects J. Comelles, SS Soumya, L. Lu, E. Le-Maout, S. Anvitha, G. Salbreux, F. Jülicher, M. M Inamdar, D. Riveline eLife 2021;10:e57730 (2021) [PDF (27,6 MB)]
Continuum Theory of Active Phase Separation in Cellular Aggregates H.-S. Kuan, W. Pönisch, F. Jülicher, and V. Zaburdaev Phys. Rev. Lett. 126, 018102 (2021) [PDF (1,7 MB)]

2020

Quantification of Nematic Cell Polarity in Three-Dimensional Tissues A. Scholich, S. Syga, H. Morales-Navarrete, F. Segovia- Miranda, H. Nonaka, K. Meyer, W. de Back, L. Brusch, Y. Kalaidzidis, M. Zerial, F. Jülicher, B. M. Friedrich PLOS Computational Biology 17(8): e1009349 (2020) [PDF (6,8 MB)]
Die Physik Dynamischer Tropfen C. A. Weber, L. Hubatsch, F. Jülicher Physik Journal 12, pp. 42-47 (2020) [PDF (13,5 MB)]
Protein Condensates as Aging Maxwell Fluids L. Jawerth, E. Fischer-Friedrich, S. Saha, J. Wang, T. Franzmann, X. Zhang, J. Sachweh, M. Ruer, M. Ijavi, S. Saha, J. Mahamid, A. A. Hyman, F. Jülicher Science 370, 1317–1323 (2020) [PDF (2 MB)]
Extreme-Value Statistics of Stochastic Transport Processes A. Guillet, E. Roldan, F. Jülicher New J. Phys. 22, 123038 (2020) [PDF (1,8 MB)]
Stability and Transient Dynamics of PLLs in Theory and Experiments R. F. Riaz, D. Prousalis, C. Hoyer, J. Wagner, F. Ellinger, F. Jülicher, L. Wetzel European Conference on Circuit Theory and Design (ECCTD) 1-4, doi: 10.1109/ECCTD49232.2020.9218377 [PDF (0,6 MB)]
Power-Law Population Heterogeneity Governs Epidemic Waves J. Neipel, J. Bauermann, S. Bo, T. Harmon, and F. Jülicher PLoS ONE 15 (10), e0239678 (2020) [PDF (2,8 MB)]
Liquid Phase Separation Controlled by pH O. Adame-Arana, C. A. Weber, V. Zaburdaev, J. Prost, and F. Jülicher Biophys. J. 119, 1590 (2020) [PDF (1,9 MB)]
Flagellar Length Control in Biflagellate Eukaryotes: Time-of-Flight, Shared Pool, Train Traffic and Cooperative Phenomena S. Patra, F. Jülicher, and D. Chowdhury New J. Phys. 22, 083009 (2020) [PDF (6,5 MB)]
Active Forces Shape the Metaphase Spindle through a Mechanical Instability D. Oriola, F. Jülicher, and J. Brugués Proc. Natl. Acad. Sci. USA, 117(28) 16154 (2020) [PDF (1,2 MB)]
BMP Signaling Gradient Scaling in the Zebrafish Pectoral Fin R. Mateus, L. Holtzer, C. Seum, Z. Hadjivasiliou, M. Dubois, F. Jülicher, and M. Gonzalez-Gaitan Cell Reports, 30, 4292 (2020) [PDF (4,9 MB)]
Phase Separation Provides a Mechanism to Reduce Noise in Cells K. Klosin, F. Oltsch, T. Harmon, A. Honigmann, F. Jülicher, A. A. Hyman, C. Zechner Science, 367, 464 (2020) [PDF (1,9 MB)]

2019

Casimir Stresses in Active Nematic Films A. Basu, J.-F. Joanny, F. Jülicher and J. Prost New J. Phys 21, 123046 (2019) [PDF (541 kB)]
Minimal Model of Cellular Symmetry Breaking A. Mietke, V. Jemseena, K. Vijay Kumar, I. F. Sbalzarini and F. Jülicher Phys. Rev. Lett 123, 188101 (2019) [PDF (623 kB)]
Soluble Tubulin is Significantly Enriched at Mitotic Centrosomes J. Baumgart, M. Kirchner, S. Redemann, A. Bond, J. Woodruff, J.-M. Verbavatz, F. Jülicher, T. Müller-Reichert, A. A. Hyman and J. Brugués J Cell Biol. 218, 3977 (2019) [PDF (1,9 MB)]
Integral Fluctuation Relations for Entropy Production at Stopping Times I. Neri, E. Roldan, S. Pigolotti and F. Jülicher J. Stat. Mech., 104006 (2019) [PDF (2,9 MB)]
Fluid Pumping and Active Flexoelectricity can Promote Lumen Nucleation in Cell Assemblies C. Duclut, N. Sarkar, J. Prost and F. Jülicher Proc. Natl. Acad. Sci. USA, 116, 19264 (2019) [PDF (1,3 MB)]
Active Cargo Positioning in Antiparallel Transport Networks M. Richard, C. Blanch-Mercader, H. Ennomani, W. Cao, E. M. De La Cruz J.-F. Joanny, F. Jülicher, L. Blanchoinc, and P. Martin Proc. Natl. Acad. Sci. USA, 116, 14835 (2019) [PDF (2,1 MB)]
Liquid-Crystal Organization of Liver Tissue H. Morales-Navarrete, H. Nonaka, A. Scholich, F. Segovia-Miranda, W. de Back, K. Meyer, R. L. Bogorad, V. Koteliansky, L. Brusch, Y. Kalaidzidis, F. Jülicher, B. M. Friedrich, M. Zerial eLife 2019;8:e44860 (2019) [PDF (5,1 MB)]
Physics of Active Emulsions C. A. Weber, D. Zwicker, F. Jülicher and C. F. Lee Rep. Prog. Phys. 82, 064601(2019) [PDF (4,7 MB)]
Field induced cell proliferation and death in a model epithelium N. Sarkar, J. Prost and F. Jülicher New J. Phys. 21, 043035 (2019) [PDF (1,2 MB)]
Extreme Reductions of Entropy in an Electronic Double Dot S. Singh, É. Roldán, I. Neri, I. M Khaymovich, D. S. Golubev, V. F. Maisi, J. T. Peltonen, F. Jülicher and J. P. Pekola Phys. Rev. B 99, 115422 (2019) [PDF (3,7 MB)]
Epithelial Viscoelasticity is Regulated by Mechanosensitive E-cadherin Turnover K. Venkatesan Iyer, R. Piscitello-Gómez, J. Paijmans, F. Jülicher and S. Eaton Current Biology, 29, 1 (2019) [PDF (6,5 MB)]
Body size-dependent energy storage causes Kleiber’s law scaling of the metabolic rate in planarians A. A. Thommen, S. Werner, O. Frank, J. Philipp, O. Knittelfelder, Y. Quek, K. Fahmy, A. Shevchenko, B. M. Friedrich, Frank Jülicher, J. C. Rink eLife 2019;8:e38187 (2019) [PDF (3,7 MB)]
Self-organized Shape Dynamics of Active Surfaces A. Mietke, F. Jülicher and I. Sbalzarini Proc. Natl. Sci. USA, 116, 29 (2019) [PDF (3,7 MB)]
Guiding Self-organized Pattern Formation in Cell Polarity Establishment P. Gross, K. V. Kumar, N. W. Goehring, J. S. Bois, C. Hoege, F. Jülicher and S. W. Grill Nature Physics, 15, 293 (2019). [PDF (5,4 MB)]

2018

Salt-Dependent Rheology and Surface Tension of Protein Condensates Using Optical Traps L. M. Jawerth, M. Ijavi, M. Ruer, S. Saha, M. Jahnel, A. A. Hyman, F. Jülicher and E. Fischer-Friedrich Phys. Rev. Lett, 121,258101 (2018) [PDF (537 kB)]
Exactly Solvable Dynamics of Forced Polymer Loops W. Huang, Y. T. Ling, D. Frömberg, J. Shin, F. Jülicher and V. Zaburdaev New J. Phys. 20, 113005 (2018) [PDF (1,1 MB)]
Positioning of Particles in Active Droplets D. Zwicker, J. Baumgart, S. Redemann, T. Müller-Reichert, A. A. Hyman and F. Jülicher Phys. Rev. Lett. 121, 158102 (2018) [PDF (594 kB)]
Differential Lateral and Basal Tension Drive Folding of Drosophila Wing Discs through Two Distinct Mechanisms L. Sui, S. Alt, M. Weigert, N. Dye, S. Eaton, F. Jug, E. W. Myers, F. Jülicher, G. Salbreux and C. Dahmann Nature Communications 9, 4620 (2018) [PDF (2,3 MB)]
Morphogenetic Degeneracies in the Actomyosin Cortex S. R. Naganathan, S. Fürthauer, J. Rodriguez, B. T. Fievet, F. Jülicher, J. Ahringer, C. V. Cannistraci and S. W. Grill eLife 2018;7:e37677 (2018) [PDF (7,2 MB)]
Role of Hydrodynamic Flows in Chemically Driven Droplet Division R. Seyboldt and F. Jülicher New J. Phys. 20, 105010 (2018) [PDF (1,9 MB)]
Discontinuous Switching of Position of Two Coexisting Phases S. Krüger, C. A. Weber, J.-U. Sommer and F. Jülicher New J. Phys.20, 075009 (2018) [PDF (2,5 MB)]
Hydrodynamic Theory of Active Matter F. Jülicher, S. W. Grill and G. Salbreux Rep. Prog. Phys. 81, 07661 (2018) [PDF (1,2 MB)]
Critical Point in Self-Organized Tissue Growth D. Aguilar-Hidalgo, S. Werner, O. Wartlick, M. Gonzalez-Gaitan, B. M. Friedrich and F. Jülicher Phys. Rev. Lett. 120, 198102 (2018) [PDF (2,9 MB)]
Chemical Event Chain Model of Coupled Genetic Oscillators D. J. Jörg, L. G. Morelli and F. Jülicher Phys. Rev. E. 97,032409 (2018) [PDF (1,2 MB)]
Friction from Transduction Channels’ Gating Affects Spontaneous Hair-Bundle Oscillations J. Barral, F. Jülicher and P. Martin, Biophys J. 114, 425 (2018) [PDF (2,1 MB)]

2017

An Information Theoretic Analysis of Sequential Decision-Making M. Dörpinghaus, E. Roldán, I. Neri, H. Meyr and F. Jülicher IEEE International Symposium on Information Theory (ISIT), 3050 (2017) [PDF (148 kB)]
Cell Dynamics Underlying Oriented Growth of the Drosophila Wing Imaginal Disc N. A. Dye, M. Popovic, S. Spannl, R. Etournay, D. Kainmüller, S. Ghosh, E. W. Myers, F. Jülicher and S. Eaton Development 144, 4406 (2017) [PDF (13,7 MB)]
Generic Properties of Stochastic Entropy Production S. Pigolotti, I. Neri, É. Roldán and F. Jülicher Phys. Rev. Lett. 119, 140601 (2017) [PDF (651 kB)]
Mechanics of Active Surfaces G. Salbreux and F. Jülicher Phys. Rev. E 96, 032404 (2017) [PDF (1 MB)]
Physical Limits of Flow Sensing in the Left-right Organizer R. R. Ferreira, A. Vilfan, F. Jülicher, W. Supatto, J. Vermot eLife 2017; 6:e25078(2017) [PDF (5 MB)]
Droplet Ripening in Concentration Gradients C. Weber, C. F. Lee and F. Jülicher New J. Phys. 19, 053021 (2017) [PDF (676 kB)]
Self-organized synchronization of digital phase-locked loops with delayed coupling in theory and experiment L. Wetzel, D. J. Jörg, A. Pollakis, W. Rave, G. Fettweis and F. Jülicher Plos ONE 12, e0171590 (2017) [PDF (2,5 MB)]
Controlling Contractile Instabilities in the Actomyosin Cortex M. Nishikawa, S. R. Naganathan, F. Jülicher and S. W. Grill eLife 2017;10.7554/eLife.19595 (2017) [PDF (9,5 MB)]
Triangles Bridge the Scales: Quantifying Cellular Contributions to Tissue Deformation M. Merkel, R. Etournay, M. Popovic, G. Salbreux ,S. Eaton and F. Jülicher Phys. Rev. E. 95, 032401 (2017) [PDF (4 MB)]
Active Dynamics of Tissue Shear Flow M. Popovic, A. Nandi, M. Merkel, R. Etournay, S. Eaton, F. Jülicher and G. Salbreux New J. Phys. 19, 033006 (2017) [PDF (1,6 MB)]
Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes I. Neri, É. Roldán and F. Jülicher Phys. Rev X, 7, 011019 (2017) [PDF (1,4 MB)]
Growth and Division of Active Droplets Provides a Model for Protocells D. Zwicker, R. Seyboldt, C. A. Weber, A. A. Hyman and F. Jülicher Nature Physics 13, 408 (2017) [PDF (981 kB)]

2016

Curvature regulation of the ciliary beat through axonemal twist P. Sartori, V. F. Geyer, J. Howard and F. Jülicher Phys. Rev. E. 94,042426 (2016) [PDF (754 kB)]
Sequential pattern formation governed by signaling gradients D. J. Jörg, A. C. Oates and F. Jülicher Phys. Biol. 13 (2016) [PDF (1,3 MB)]
Polo kinase phosphorylation determines C. elegans centrosome size and density by biasing SPD-5 toward an assembly-competent conformation O. Wueseke, D. Zwicker, A. Schwager, Y. L. Wong, K. Oegema, F. Jülicher, A. A. Hyman, and J. Woodruff Biol Open (2016) 5 (10): 1431-1440 (2016) [PDF (2,2 MB)]
Interface Dynamics of Competing Tissues N. Podewith, F. Jülicher, G. Gompper, J. Elgeti New J. Phys. 18, 083020 (2016) [PDF (10,3 MB)]
Polar Positioning of Phase-Separated Liquid Compartments in Cells Regulated by an mRNA Competition Mechanicsm S. Saha, C. A. Weber, M. Nousch, O. Adame-Arana, C. Hoege, M. Y. Hein, E. Osborne-Nishimura, J. Mahamid, M. Jahnel, L. Jawerth, A. Pozniakovski, C. R. Eckmann, F. Jülicher, and A. A. Hyman Cell 166, 1572 (2016) [PDF (6 MB)]
The Selector Gene Apterous and Notch Are Required to Locally Increase Mechanical Cell Bond Tension at the Drosophila Dorsoventral Compartment Boundary M. Michel, M. Aliee, K. Rudolf, L. Bialas, F. Jülicher and C. Dahmann PLoS ONE 11, e0161668 (2016) [PDF (13,2 MB)]
Rheology of the Active Cell Cortex in Mitosis E. Fischer-Friedrich, Y. Toyoda, C. J. Cattin, D. J. Müller, A. A. Hyman and F. Jülicher Biophys J. 111, 589 (2016) [PDF (2 MB)]
Tissue Miner: A Multiscale Analysis Toolkit to Quantify how Cellular Processes Create Tissue dynamics R. Etournay, M. Merkel, M. Popovic, H. Brandl, N. Dye, B. Aigouy, G. Salbreux, S. Eaton and F. Jülicher eLife 5:e14334 (2016) [PDF (12,5 MB)]
Dynamic curvature regulation accounts for the symmetric and asymmetric beats of Chlamydomonas flagella P. Sartori, V. F. Geyer, A. Scholich, F. Jülicher and J. Howard eLife 5:e13258 (2016) [PDF (5,9 MB)]
Paired Arrangement of Kinetochores together with Microtubule Pivoting and Dynamics Drive Kinetochore Capture in Meiosis I G. Cojoc, A.-M. Florescu, A. Krull, A. H. Klemm, N. Pavin, F. Jülicher and I. M. Tolic Scientific Reports6, 25736 (2016) [PDF (1,4 MB)]
Independent Control of the Static and Dynamic Components of the Chlamydomonas Flagellar Beat V. F. Geyer, P. Sartori, B. M. Friedrich, F. Jülicher and J. Howard Current Biology 26, 1098 (2016) [PDF (1,8 MB)]
Determining Physical Properties of the Cell Cortex A. Saha, M. Nishikawa, M. Behrndt, C.-P. Heisenberg, F. Jülicher and S. W. Grill Biophys J. 110, 1421 (2016) [PDF (2 MB)]
Autonomous Chemical Oscillator Circuit Based on Bidirectional Chemical-Microfluidic Coupling G. Paschew, J. Schreiter, A. Voigt, C. Pini, J. P. Chávez, M. Allerdißen, U. Marschner, S. Siegmund, R. Schüffny, F. Jülicher and A. Richter Adv. Mater. Technol. 1, 1600005 (2016) [PDF (1,4 MB)]
Activity Induces Traveling Waves, Vortices and Spatiotemporal Chaos in a Model Actomyosin Layer R. Ramaswamy and F. Jülicher Scientific Reports 6, 20838 (2016) [PDF (1,5 MB)]
Antagonistic Self-Organizing Patterning Systems Control Maintenance and Regeneration of the Anteroposterior Axis in Planarians T. Stückemann, J. P. Cleland, S. Werner, H. T. Vu, R. Bayersdorf, S. Liu, B. Friedrich, F. Jülicher and J. C. Rink Dev. Cell 40, 248 (2016) [PDF (4,3 MB)]
Persistence, Period and Precision of Autonomous Cellular Oscillators from the Zebrafish Segmentation Clock A. B. Webb, I. M Lengyel, D. J. Jörg, G. Valentin, F. Jülicher, L. G Morelli A. C. Oates eLife 5: e08438 (2016) [PDF (2,6 MB)]
Interface Contractility between Differently Fated Cells Drives Cell Elimination and Cyst Formation C. Bielmeier, S. Alt, V. Weichselberger, M. La Fortezza, H. Harz, F. Jülicher, G. Salbreux, A. Classen Current Biology 26, 563 (2016) [PDF (31,5 MB)]

2015

Decision Making in the Arrow of Time E. Roldán, I. Neri, M. Dörpinghaus, H. Meyr and F. Jülicher Phys. Rev. Lett. 115, 250602 (2015) [PDF (426 kB)]
Polarized Endosome Dynamics by Spindle Asymmetry During Asymmetric Cell Division E. Derivery, C. Seum, A. Daeden, S. Loubéry, L. Holtzer, F. Jülicher and M. Gonzalez-Gaitan Nature 528, 280 (2015) [PDF (17,9 MB)]
Pulled Polymer Loops as a Model for the Alignment of Meiotic Chromosomes Y. T. Lin, D. Frömberg, W. Huang, P. Delivani, M. Chacón, I. M. Tolic, F. Jülicher and V. Zaburdaev Phys. Rev. Lett. 115, 208102 (2015) [PDF (819 kB)]
A local difference in Hedgehog signal transduction increases mechanical cell bond tension and biases cell intercalations along the Drosophila anteroposterior compartment boundary K. Rudolf, D. Umetsu, M. Aliee, L. Sui, F. Jülicher and C. Dahmann Development 142, 3845 (2015) [PDF (5 MB)]
Synchronization of Mutually Coupled Digital PLLs in Massive MIMO Systems D. J. Jörg, A. Pollakis, L. Wetzel, M. Dropp, W. Rave, F. Jülicher and G. Fettweis 2015 IEEE International Conference on Communications (ICC), 1716 (2015). [PDF (328 KB)]
Continuum Theory of Gene Expression Waves during Vertebrate Segmentation D. J. Jörg, L. G. Morelli, D. Soroldoni, A. C. Oates and F. Jülicher New J. Phys. 17, 093042 (2015) [PDF (2 MB)]
Suppression of Ostwald Ripening in Active Emulsions D. Zwicker, A. A. Hyman and F. Jülicher Phys. Rev. E 92, 012317 (2015) [PDF (918 kB)]
The Wing and the Eye: a Parsimonious Theory for Scaling and Growth Control? M. Romanova-Michaelides, D. Aguilar-Hidalgo, F. Jülicher and M. Gonzalez-Gaitan Dev. Biol. 2015;doi: 10.1002/wdev.195 (2015) [PDF (1 MB)]
Interplay of Cell Dynamics and Epithelial Tension during Morphogenesis of the Drosophila Pupal Wing R. Etournay, M. Popovic, M. Merkel, A. Nandi, C. Blasse, B. Aigouy, H. Brandl, G. Myers, G. Salbreux, F. Jülicher and S. Eaton eLife 4:e 07090 (2015) [PDF (14 MB)]
Scaling and Regeneration of Self-Organized Patterns S. Werner, T. Stückemann, M. Beirán Amigo, J. C. Rink, F. Jülicher and B. M. Friedrich Phys. Rev. Lett. 114, 138101 (2015) [PDF (295 kB)]
A Hybrid Particle-Mesh Method for Incompressible Active Polar Viscous Gels R. Ramaswamy, G. Bourantas, F. Jülicher and I. Sbalzarini Journal of Computational Physics. 291, 334 (2015) [PDF (8,3 MB)]
Active Gel Physics J. Prost, F. Jülicher and J-F. Joanny Nature Physics. 11, 111 (2015) [PDF (958 kB)]
Dynamic Force Balances and Cell Shape Changes during Cytokinesis A. Sain, M. M. Inamdar and F. Jülicher Phys. Rev. Lett. 114, 048102 (2015) [PDF (360 kB)]

2014

Active Torque Generation by the Actomyosin Cell Cortex Drives left-right Symmetry Breaking S. R. Naganathan, S. Fürthauer, M. Nishikawa, F.Jülicher and S. W. Grill eLife 2014;3:e04165 (2014) [PDF 2,8 MB)]
Synchronization in Networks of Mutually Delay-Coupled Phase-Locked Loops A. Pollakis, L. Wetzel, D. J. Jörg, W. Rave, G. Fettweis and F. Jülicher New J. Phys. 16, 113009 (2014) [PDF (655 kB)]
The Balance of Prickle/Spiny-Legs Isoforms Controls the Amount of Coupling between Core and Fat PCP Systems M. Merkel, A. Sagner, F. S. Gruber, R. Etournay, C. Blasse, E. Myers, S. Eaton and F. Jülicher Current Biology 24, 2111 (2014) [PDF (18,1 MB)]
Stress Distributions and Cell Flows in a Growing Cell Aggregate M. Delarue, J.-F. Joanny, F. Jülicher and J. Prost Interface Focus. 4, 20140033 (2014) [PDF (492 kB)]
Quantification of Surface Tension and Internal Pressure Generated by Single Mitotic Cells E. Fischer-Friedrich, A. A. Hyman, F. Jülicher, D. J. Müller and J. Helenius Scientific Reports. 4, 6213 (2014) [PDF (705 kB)]
An Active Oscillator Model Describes the Statistics of Spontaneous Otoacoustic Emissions F. Fruth, F. Jüicher, B. Lindner Biophys J. 107, 817 (2014) [PDF (1,6 MB)]
Local Increases in Mechanical Tension Shape Compartment Boundaries by Biasing Cell Intercalations D. Umetsu, B. Aigouy, M. Aliee, S. Sui, S. Eaton, F. Jülicher and C. Dahmann Current Biology 24, 1798 (2014) [PDF (3,9 MB)]
Active Phase and Amplitude Fluctuations of Flagellar Beating R. Ma, G. S. Klindt, I. H. Riedel-Kruse, F. Jülicher and B. Friedrich Phys. Rev. Lett. 113, 048101 (2014) [PDF (1,3 MB)]
Multimotor Transport in a System of Active and inactive Kinesin-1 Motors L. Scharrel, R. Ma, R. Schneider, F. Jülicher and S. Diez Biophys. J. 107, 365 (2014) [PDF (1 MB)]
A Doppler Effect in Embryonic Pattern Formation D. Soroldoni, D. J. Jörg, L. G. Morelli, D. L. Richmond, J. Schindelin, F. Jülicher and A. C. Oates Science 345, 222 (2014) [PDF (623 kB)] Supplementary Material
Centrosomes are Autocatalytic Droplets of Pericentriolar Material Organized by Centrioles D. Zwicker, M. Decker, S. Jaensch, A. A. Hyman and F. Jülicher Proc. Natl. Acad. Sci. USA 111, E2636 (2014) [PDF (1,2 MB)]
Active Elastic Thin Shell Theory for Cellular Deformations H. Berthoumieux, J.-L. Maître, C.-P. Heisenberg, E. K. Paluch, F. Jülicher and G. Salbreux New J. Phys. 16, 065005 (2014) [PDF (950 kB)]
Motor Regulation Results in Distal Forces that Bend Partially Disintegrated Chlamydomonas Axonemes into Circular Arcs V. Mukundan, P. Sartori, V. F. Geyer, F. Jülicher and J. Howard Biophys J., 106, 2434 (2014) [PDF (1 MB)]
Pulsatory Patterns in Active Fluids K. V. Kumar, J. S. Bois, F. Jülicher and S. W. Grill Phys. Rev. Lett. 112, 208101 (2014) [PDF (721 kB]
Transduction Channels' Gating can Control Friction on Vibrating Hair-Cell Bundles in the Ear V. Bormuth, J. Barral, J.-F. Joanny, F. Jülicher and P. Martin Proc. Natl. Acad. Sci. USA, 111, 7185 (2014) [PDF (1,1 MB)]
Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts D. J. Jörg, L. G. Morelli, S. Ares and F. Jülicher Phys. Rev. Lett. 112, 174101 (2014) [PDF (328 kB)]
Growth Control by a Moving Morphogen Gradient during Drosophila Eye Development O. Wartlick, F. Jülicher and M. Gonzales-Gaitan Development 141* 1884 (2014)* [PDF (4,8 MB)]
Wnt-regulated Dynamics of Positional Information in Zebrafish Somitogenesis L. Bajard, L. G. Morelli, S. Ares, J. Pécréaux, F. Jülicher and A. C. Oates Development 141* 1381 (2014)* [PDF (5,7 MB)]
Mechanically Driven Interface Propagation in Biological Tissues J. Ranft, M. Aliee, J. Prost, F. Jülicher and J.-F. Joanny New J. Phys. 16 035002 (2014) [PDF (406 kB)]
General Theory for the Mechanics of Confined Microtubule Asters R. Ma, L. Laan, M. Dogterom, N. Pavin and F. Jülicher New J. Phys. 16 013018 (2014) [PDF (885 kB)]

2013

Cell-body Rocking is a Dominant Mechanism for Flagellar Synchronization in a Swimming Alga V. F. Geyer, F. Jülicher, J. Howard, and B. M. Friedrich Proc. Natl. Acad. Sci. USA, 110, 18058 (2013) [PDF (3 MB)]
Spatial Organization of the Cell Cytoplasm by Position-Dependent Phase Separation C. F. Lee, C. P. Brangwynne, J. Gharakhani, A. A. Hyman and F. Jülicher Phys. Rev. Lett. 111, 088101 (2013) [PDF (1,6 MB)]
XMAP215 Activity Sets Spindle Length by Controlling the Total Mass of Spindle Microtubules S. B. Reber, J. Baumgart, P. O. Widlund, A. Pozniakovsky, J. Howard, A. A. Hyman and F. Jülicher Nature Cell Biol. 15, 1116 (2013) [PDF (4,6 MB)]
Active Chiral Processes in Thin Films S. Fürthauer, M. Strempel, S. W. Grill and F. Jülicher Phys. Rev. Lett. 110, 048103 (2013) [PDF (340 kB)]

2012

Anomalous Behavior of the Diffusion Coefficient in Thin Active Films A. Basu, J.-F. Joanny, F. Jülicher and J. Prost New J. Phys. 14, 115001 (2012) [PDF (565 kB)]
Positioning of Microtubule Organizing Centers by Cortical Pushing and Pulling Forces N. Pavin, L. Laan, R. Ma, M. Dogterom and F. Jülicher New J. Phys. 14, 105025 (2012) [PDF (1,5 MB)]
Active Chiral Fluids S. Fürthauer, M. Strempel, S. W. Grill and F. Jülicher Eur. Phys. J. E 35, 89 (2012) [PDF (1,5 MB)]
Flagellar Synchronization Independent of Hydrodynamic Interactions B. M. Friedrich and F. Jülicher Phys. Rev. Lett. 109, 138102 (2012) [PDF (446 kB)]
Investigating the Principles of Morphogen Gradient Formation: From Tissues to Cells A. Kicheva, T. Bollenbach, O. Wartlick, F. Jülicher and M. Gonzales-Gaitan Curr. Opin. Genet. Dev. 22, 527 (2012) [PDF (315 kB)]
Adhesion Functions in Cell Sorting by Mechanically Coupling the Cortices of Adhering Cells J.-L. Maître, H. Berthoumieux, S. F. G. Krens, G. Salbreux, F. Jülicher, E. Paluch and C.-P. Heisenberg Science 338, 253 (2012) [PDF (889 kB)]
A General Theoretical Framework to Infer Endosomal Network Dynamics from Quantitative Image Analysis L. Foret, J. E. Dawson, R. Villaseñor, C. Collinet, A. Deutsch, L. Brusch, M. Zerial, Y. Kalaidzidis and F. Jülicher Current Biology 22,* 1381 (2012)* [PDF (1 MB)]
Establishment of Global Patterns of Planar Polarity during Growth of the Drosophila Wing Epithelium A. Sagner, M. Merkel, B. Aigouy, J. Gaebel, M. Brankatschk, F. Jülicher and S. Eaton Current Biology 22, 1296 (2012) [PDF (401 kB)]
Topology and Dynamics of the Zebrafish Segmentation Clock Core Circuit C. Schröter, S. Ares, L. G. Morelli, A. Isakova, K. Hens, D. Soroldoni, M. Gajewski, F. Jülicher, S. J. Maerkl, B. Deplancke and A. C. Oates PloS Biol 10, e1001364 (2012) [PDF (843 kB)]
Tissue Dynamics with Permeation J. Ranft, J. Prost, F. Jülicher and J.-F. Joanny Eur. Phys. J. E 35, 46 (2012) [PDF (723 kB)]
A Mean-field Approach to Elastically Coupled Hair Bundles K. Dierkes, F. Jülicher and B. Lindner Eur. Phys. J. E 35, 37 (2012) [PDF (1,1 MB)]
Collective Modes of Coupled Phase Oscillators with Delayed Coupling S. Ares, L. G. Morelli, D. J. Jörg, A. C. Oates and F. Jülicher Phys. Rev. Lett. 108, 204101 (2012) [PDF (229 kB)]
Physical Mechanisms Shaping the Drosophila Dorsoventral Compartment Boundary M. Aliee, J.-C. Röper, K. P. Landsberg, C. Pentzold, T. J. Widmann, F. Jülicher and C. Dahmann Current Biology 22, 967 (2012) [PDF (1,6 MB)]
Cortical Dynein Controls Microtubule Dynamics to Generate Pulling Forces that Position Microtubule Asters L. Laan, N. Pavin, J.Husson, G. Romet-Lemonne, M. van Duijn, M. Preciado López, R. D. Vale, F. Jülicher, S. L. Reck-Peterson and M. Dogterom Cell 148, 502 (2012) [PDF (1,9 MB)]
Response to Comment on: "Dynamics of Dpp Signaling and Proliferation Control" O. Wartlick, P. Mumcu, F. Jülicher and M. Gonzalez-Gaitan Science 335, 401 (2012) [PDF (384 kB)]
The Taylor–Couette Motor: Spontaneous Flows of Active Polar Fluids Between Two Coaxial Cylinders S. Fürthauer, M. Neef, S. W. Grill, K. Kruse and F. Jülicher New. J. Phys. 14, 023001 (2012) [PDF (655 kB)]

2011

Cell Flow and Tissue Polarity Patterns S. Eaton and F. Jülicher Curr. Opin. Genet. Dev. 21, 747 (2011) [PDF (2 MB)]
Hydrodynamics of Active Permeating Gels A. C. Callan-Jones and F. Jülicher New. J. Phys. 13, 093027 (2011) [PDF (644 kB)]
Understanding Morphogenetic Growth Control - Lessons from Flies O. Wartlick, P. Mumcu, F. Jülicher and M. Gonzalez-Gaitan Nat. Rev. Mol. Cell Biol. 12, 594 (2011) [PDF (1,3 MB)]
Dynamics of Dpp Signaling and Proliferation Control O. Wartlick, P. Mumcu, A. Kicheva, T. Bittig, C. Seum, F. Jülicher and M. Gonzalez-Gaitan Science 331, 1154 (2011) [PDF (3,0 MB)]
Pattern Formation in Active Fluids J. S. Bois, F. Jülicher and S. Grill Phys. Rev. Lett. 106, 028103 (2011) [PDF (956 kB)]

2010

Fluidization of Tissues by Cell Division and Apoptosis J. Ranft, M. Basan, J. Elgeti, J.-F. Joanny, J. Prost and F. Jülicher Proc. Natl. Acad. Sci. USA 107, 20863 (2010) [PDF (284 kB)]; Supplementary Material
Mechanics and Remodelling of Cell Packings in Epithelia D.B. Staple, R. Fahardifar, J.-C. Röper, B. Aigouy, S. Eaton and F. Jülicher Eur. Phys. J. E 33, 117 (2010) [PDF (892 kB)]
Anisotropies in Cortical Tension Reveal the Physical Basis of Polarizing Cortical Flows M. Mayer, M. Depken, J. Bois, F. Jülicher and S. Grill Nature 467, 617 (2010) [PDF (952 kB)]
Collective Behavior of Antagonistically Acting Kinesin-1 Motors C. Leduc, N. Pavin, F. Jülicher and S. Diez Phys. Rev. Lett. 105, 128103 (2010) [PDF (648 kB)]
A Critique of the Critical Cochlea: Hopf—a Bifurcation—Is Better Than None A. J. Hudsepth, F. Jülicher and P. Martin J Neurophysiol, 104, 1219 (2010) [PDF (432 kB)]
Cell Flow Reorients the Axis of Planar Polarity in the Wing Epithelium of Drosophila B. Aigouy, R. Farhadifar, D. B. Staple, A. Sagner, J.-C. Röper, F. Jülicher and S. Eaton Cell 142, 773 (2010) [PDF (3,5 MB)]
The Interplay Between Active Hair Bundle Motility and Electromotility in the Cochlea D. O Maoileidigh and F. Jülicher J. Acoust. Soc. Am., 128, 1175 (2010) [PDF (592 kB)]
Intercellular Coupling Regulates the Period of the Segmentation Clock L. Herrgen, S. Ares, L. G. Morelli, C. Schröter, F. Jülicher and A. C. Oates Current Biology 20,* 1244 (2010)* [PDF (916 kB)]
The Remarkable Cochlear Amplifier J. Ashmore, P. Avan, W.E. Brownell, P. Dallos, K. Dierkes, R. Fettiplace, K. Grosh, C.M. Hackney, A.J. Hudspeth, F. Jülicher, B. Lindner, P. Martin, J. Meaud, C. Petit, J.R. Santos Sacchi, B. Canlon Hearing Research, 266, 1(2010) [PDF (744 kB)]
Coupling a Sensory Hair-Cell Bundle to Cyber Clones Enhances Nonlinear Amplification J. Barral, K. Dierkes, B. Lindner, F. Jülicher and P. Martin Proc. Natl. Acad. Sci. USA 107, 10765 (2010) [PDF (395 kB)]
Microtubules and MotorProteins: Mechanically Regulated Self-organization in Vivo S. K. Vogel, N. Pavin, N. Maghelli, F. Jülicher and I. M. Tolic-Norrelykke Eur. Phys. J. ST 178,* 57 (2010)* [PDF (2,3 MB)]
Bipedal Locomotion in Crawling Cells E. L. Barnhart, G. M. Allen, F. Jülicher and J. A. Theriot Biophys J. 98,* 933 (2010)* [PDF (700 kB)]
High-precision Tracking of Sperm Swimming Fine Structure Provides Strong Test of Resistive Force Theory B. M. Friedrich, I. H. Riedel-Kruse, J. Howard and F. Jülicher Journal of Experimental Biology 213,* 1226 (2010)* [PDF (1,2 MB)]; Supplementary Material
Centrosome Size Sets Mitotic Spindle Length in Caenorhabditis elegans Embryos G. Greenan, C. P. Brangwynne, S. Jaensch, J. Gharakhani, F. Jülicher and A. A. Hyman Current Biology 20,* 353 (2010)* [PDF (544 kB)]

2009

Local Exponents of Nonlinear Compression in Perdiodically Driven Noisy Oscillators B. Lindner, K. Dierkes and F. Jülicher Phys. Rev. Lett. 103, 250601 (2009) [PDF (4,3 MB)]
Increased Cell Bond Tension Governs Cell Sorting at the Drosophila Anteroposterior Compartment Boundary K. P. Landsberg, R. Farhadifar, J. Ranft, D. Umetsu, T. J. Widmann, T. Bittig, A. Said, F. Jülicher and C. Dahmann Current Biology 19,* 1950 (2009)* [PDF (4,3 MB)]; Supplementary Material
Quantification of Growth Asymmetries in Developing Epithelia T. Bittig, O. Wartlick, M. González-Gaitán and F. Jülicher Eur. Phys. J. E 30, 93 (2009) [PDF (424 kB)]
Spontaneous Movements and Linear Response of a Noisy Oscillator F. Jülicher, K. Dierkes, B. Lindner, J. Prost and P. Martin Eur. Phys. J. E 29, 449 (2009) [PDF (684 kB)]
Active Hair-Bundle Motiltiy by the Vertebrate Hair Cell J-Y. Tinevez, P. Martin and F. Jülicher published in Concepts and Challenges in the Biophysics of Hearing Proceedings of the 10th International Workshop on the Mechanics of Hearing Keele University, Staffordshire, UK, 27 - 31 July 2008 edited by N. P. Cooper and D. T. Kemp World Scientific Publishing (2009) [PDF (580 kB)]
The Interplay Between Active Hair Bundle Mechanics and Electromotility in the Cochlea D. O Maoileidigh and F. Jülicher published in Concepts and Challenges in the Biophysics of Hearing Proceedings of the 10th International Workshop on the Mechanics of Hearing Keele University, Staffordshire, UK, 27 - 31 July 2008 edited by N. P. Cooper and D. T. Kemp World Scientific Publishing (2009) [PDF (96 kB)]
Mechanical Properties of Coupled Hair Bundles K. Dierkes, B. Lindner and F. Jülicher published in Concepts and Challenges in the Biophysics of Hearing Proceedings of the 10th International Workshop on the Mechanics of Hearing Keele University, Staffordshire, UK, 27 - 31 July 2008 edited by N. P. Cooper and D. T. Kemp World Scientific Publishing (2009) [PDF (168 kB)]
Comment on "Osmotic Propulsion: The Osmotic Motor" F. Jülicher and J. Prost Phys. Rev. Lett., 103, 079801 (2009) [PDF (48 kB)]
Steering Chiral Swimmers along Noisy Helical Paths B. M. Friedrich and F. Jülicher Phys. Rev. Lett., 103, 068102 (2009) [PDF (240 kB)]
Germline P Granules Are Liquid Doplets that Localize by Controlled Dissolution/Condensation C. P. Brangwynne, C. R. Eckmann, D. S. Courson, A. Rybarska, C. Hoege, J. Gharakhani, F. Jülicher and A. A. Hyman Science 324, 1729 (2009) [PDF (1,8 MB)]
Nonlinear Dynamics of Cilia and Flagella A. Hilfinger, A. K. Chattopadhyay and F. Jülicher Phys. Rev. E 79, 051918 (2009) [PDF (381 kB)]
Self-Organization of Dynein Motors Generates Meiotic Nuclear Oscillations S. Vogel, N. Pavin, N. Maghelli,F. Jülicher and I. Tolic-Norrelykke PLoS Biology 7 (4) e1000087 (2009) [PDF (828 kB)]; Supplementary Material; Press Release
Generic Theory of Colloidal Transport F. Jülicher and J. Prost Eur. Phys. J. E 29, 27 (2009) [PDF (444 kB)]
Delayed Coupling Theory of Vertebrate Segmentation L. Morelli, S. Ares, L. Herrgen, C. Schröter, F. Jülicher and A. Oates HFSP J.3, 55 (2009) [PDF (816 kB)]; Supplementary Material

2008

The Stochastic Dance of Circling Sperm Cells: Sperm Chemotaxis in the Plane B. Friedrich and F. Jülicher New J. Phys. 10, 123025 (2008) [PDF (844 kB)]
Enhancement of Sensitivity Gain and Frequency Tuning by Coupling of Active Hair Bundles K. Dierkes, B. Lindner and F. Jülicher Proc. Natl. Acad. Sci. USA 105, 18669 (2008) [PDF (584 kB)]
Thermal and Non-Thermal Fluctuations in Active Polar Gels A. Basu, J.-F. Joanny, F. Jülicher and J. Prost Eur. Phys. J. E 9, 10364 (2008) [PDF (434 kB)]
Dynamics of Anisotropic Tissue Growth T. Bittig, O. Wartlick, A. Kicheva, M. González-Gaitán and F. Jülicher New J. Phys. 10, 63001 (2008) [PDF (1,6 MB)]
Critical Oscillators as Active Elements in Hearing T. A. J. Duke,F. Jülicher in Active Processes and Otoacoustic Emissions edited by G. A. Manley, R. R. Fay and A. N. Popper Springer Handbook of Auditory Research Springer (2008) [PDF (2,7 MB)]
Two-state approach to stochastic hair bundle dynamics D. Clausznitzer, B. Lindner, F. Jülicher and P. Martin Phys. Rev. E 77, 041901 (2008) [PDF (832 kB)]
The Chirality of Ciliary Beats A. Hilfinger and F. Jülicher Phys. Biol. 5, 016003 (2008) [PDF (504 kB)]
Precision of the Dpp gradient T. Bollenbach, P. Pantazis, A. Kicheva, C. Bökel, M. González-Gaitán and F. Jülicher Development 135, 1137 (2008) [PDF (1,6 MB)]; Supplementary Material [PDF (1,3 MB)]
Quantitative Differences in Tissues Surface Tension Influence Zebrafish Germ Layer Positioning E.-M. Schötz, R. D. Burdine, F. Jülicher, M. S. Steinberg C.-P. Heisenberg and R. A. Foty HFSP J. 2, 42 (2008) [PDF (328 kB)] Supplementary Material [PDF (3,8 MB)]

2007

The Influence of Cell Mechanics, Cell-Cell Interactions and Proliferation on Epithelial Packing R. Farhadifar, J.-C. Röper, B. Algouy, S. Eaton and F. Jülicher Current Biology 17, 2095 (2007) [PDF (1,5 MB)] Supplementary Material [PDF (2,4 MB)]
Hydrodynamic Theory for Multi-Component Active Polar Gels J.-F. Joanny, F. Jülicher, K. Kruse and J. Prost New J. Phys. 9, 422 (2007) [PDF (319 kB)]
How Molecular Motors Shape the Flagellar Beat I. H. Riedel-Kruse, A. Hilfinger, J. Howard and F. Jülicher HFSP J.1, 192 (2007) [PDF (570 kB)] Supplementary Material
Unifying the Various Incarnations of Active Hair-Bundle Motility by the Vertebrate Hair Cell J. Y. Tinevez, F. Jülicher and P. Martin Biophys J 93,* 4053 (2007)* [PDF (388 kB)] Supplementary Material
Stress Generation and Filament Turnover during Actin Ring Constriction A. Zumdieck, K. Kruse, H. Bringmann, A.A. Hyman and F. Jülicher PLoS ONE 2, e696 (2007) [PDF (230 kB)]; Supplementary Material [PDF (888 kB)]
Response and Fluctuations of a Two-state Signaling Module with Feedbacks M. Gopalakrishnan, P. Borowski, F. Jülicher and M. Zapatocky Phys. Rev. E 76, 021904 (2007) [PDF (473 kB)]
Chemotaxis of Sperm Cells B. M. Friedrich and F. Jülicher Proc. Natl. Acad. Sci. USA 104, 13256 (2007) [PDF (1,4 MB)]; Supplementary Material [PDF (62 kB)]
Active Behavior of the Cytoskeleton F. Jülicher, K. Kruse, J. Prost and J.-F. Joanny Phys. Rep. 449, 3 (2007) [PDF (697 kB)]
Precision of Genetic Oscillators and Clocks L. Morelli and F. Jülicher Phys. Rev. Lett. 98, 228101 (2007) [PDF (336 kB)]
Experimental and Theoretical Study of Mitotic Spindle Orientation M. Théry, A. Jiménez-Dalmaroni, V. Racine, M. Bornens and F. Jülicher Nature 447, 493 (2007) [PDF (1012 kB)] Supplementary Material [PDF (1,5 MB)]
Kinetics of Morphogen Gradient Formation A. Kicheva, P. Pantazis, B. Bollenbach, Y. Kalaidzidis, T. Bittig, F. Jülicher and M. González-Gaitán Science 315, 521 (2007) [PDF (437 kB)]; Supplementary Material [PDF (6,45 MB)]
Morphogen Transport in Epithelia T. Bollenbach, K. Kruse, P. Pantazis, M. González-Gaitán and F. Jülicher Phys. Rev. E 75, 011901 (2007) [PDF (961 kB)]

2006

Spindle Oscillations during Asymmetric Cell Division Require a Threshold Number of Active Cortical Force Generators J. Pecreaux, J.-C. Röper, K. Kruse, F. Jülicher, A. Hyman, S. Grill and J. Howard Current Biology 16, 2111 (2006) [PDF (656 kB)]; Supplementary Material [PDF (200 kB)]
Calibration of Optical Tweezers with Positional Detection in the Back Focal Plane S. Tolic-Norrelykke, E. Schäffer, J. Howard, F.S. Pavone, F. Jülicher and H. Flyvbjerg Rev. Sci. Instrum. 77, 103101 (2006) [PDF (371 kB)]
Molekulare Motoren und zelluläre Dynamik F. Jülicher Physik Journal 5, 59 (2006) [PDF (427 kB)]
Dynamics and Mechanics of Motor-Filament Systems K. Kruse and F. Jülicher Eur. Phys. J. E 20, 459 (2006) [PDF (270 kB)]
Statistical Physics of Active Processes in Cells F. Jülicher Physica A 369, 185 (2006) [PDF (278 kB)]
Contractility and Retrograde Flow in Lamellipodium Motion K. Kruse, J.-F. Joanny, F. Jülicher and J. Prost Phys. Biol.3, 130 (2006) [PDF (204 kB)]
Postsynaptic Mad Signaling at the Drosophila Neuromuscular Junction V. Dudu, T. Bittig, E. Entchev, A. Kicheva, F. Jülicher and M. González-Gaitán Current Biology 16, 625 (2006) [PDF (790 kB)]; Supplementary Material [PDF (481 kB)]
Hydrodynamic Flow Patterns and Synchronization of Beating Cilia A. Vilfan and F. Jülicher Phys. Rev. Lett. 96, 058102 (2006) [PDF (392 kB)]
Active Hair-Bundle Motility Harnesses Noise to Operate Near an Optimum of Mechanosensitivity P. Martin, B. Nadrowski and F. Jülicher published in Auditory Mechanisms - Processes and Models Proceedings of the Ninth International Mechanics of Hearing Workshop Portland, Oregon, 23 - 28 July 2005 edited by A.L. Nuttall, T. Ren, P. Gillespie, K. Grosh and E. de Boer World Scientific Publishing (2006) [PDF (331 kB)] Supplementary Material
Wave Propagation by Critical Oscillators D. Andor, T. Duke, A. Simha and F. Jülicher published in Auditory Mechanisms - Processes and Models Proceedings of the Ninth International Mechanics of Hearing Workshop Portland, Oregon, 23 - 28 July 2005 edited by A.L. Nuttall, T. Ren, P. Gillespie, K. Grosh and E. de Boer World Scientific Publishing (2006) [PDF (308 kB)]

2005

Continuum Description of the Cytoskeleton: Ring Formation in the Cell Cortex A. Zumdieck, M. Cosentino Lagomarsino, C. Tanase, K. Kruse, B. Mulder, M. Dogterom and F. Jülicher Phys. Rev. Lett. 95, 258103 (2005) [PDF (336 kB)]
Velocity and Processivity of Helicase Unwinding of Double Stranded Nucleic Acids M.D. Betterton and F. Jülicher J. Phys.: Condens. Matter 17, 3851 (2005) [PDF (336 kB)]
Universal Critical Behavior of Noisy Coupled Oscillators: A Renormalization Group Study T. Risler, J. Prost and F. Jülicher Phys. Rev. E 72, 016130 (2005) [PDF (303 kB)]
Theory of Mitotic Spindle Oscillations S.W. Grill, K. Kruse and F. Jülicher Phys. Rev. Lett. 94, 108104 (2005) [PDF (107 kB)]
Filament Depolymerization by Motor Molecules G. Klein, K. Kruse, G. Cuniberti and F. Jülicher Phys. Rev. Lett. 94, 108102 (2005) [PDF (127 kB)]
Generic Theory of Active Polar Gels: A Paradigm for Cytoskeletal Dynamics K. Kruse, J.F. Joanny, F. Jülicher, J. Prost and K. Sekimoto Eur. Phys. J. E 16, 5 (2005) [PDF (280 kB)]
Opening of Nucleic-Acid Double Strands by Helicases: Active Versus Passive Opening M.D. Betterton and F. Jülicher Phys. Rev. E 71, 011904 (2005) [PDF (251 kB)]
Oscillations in Cell Biology K. Kruse and F. Jülicher Current Opinion in Cell Biology 17, 20 (2005) [PDF (142 kB)]
Robust Formation of Morphogen Gradients T. Bollenbach, K. Kruse, P. Pantazis, M. González-Gaitán, and F. Jülicher Phys. Rev. Lett. 94, 018103 (2005) [PDF (168 kB)]

2004

Universal Critical Behavior of Noisy Coupled Oscillators T. Risler, J. Prost, and F. Jülicher Phys. Rev. Lett. 93, 175702 (2004) [PDF (105 kB)]
Dpp Gradient Formation by Dynamin-Dependent Endocytosis: Receptor Trafficking and the Diffusion Model K. Kruse, P. Pantazis, T. Bollenbach, F. Jülicher, and M. Gonzalez-Gaitan Devlopment 131, 4843 (2004) [PDF (1,62 MB)] Supplementary Material
Fluid Membranes Exchanging Material with External Reservoirs P. Girard, F. Jülicher, and J. Prost Eur. Phys. J. E 14, 387 (2004) [PDF (567 kB)]
Active Hair-Bundle Motility Harnesses Noise to Operate Near an Optimum of Mechanosensitivity B. Nadrowski, P. Martin, and F. Jülicher Proc. Natl. Acad. Sci. USA 101, 12195 (2004) [PDF (528 kB)]; Supplementary Material [PDF (383 kB)]
Membranes with Rotating Motors: Microvortex Assemblies P. Lenz, J.-F. Joanny, F. Jülicher, and J. Prost Eur. Phys. J. E 13, 379 (2004) [PDF (558 kB)]
Role of Tensile Stress in Actin Gels and a Symmetry-Breaking Instability K. Sekimoto, J. Prost, F. Jülicher, H. Boukellal, and A. Bernheim-Grosswasser Eur. Phys. J. E 13, 247 (2004) [PDF (643 kB)]
Asters, Vortices, and Rotating Spirals in Active Gels of Polar Filaments K. Kruse, J.F. Joanny, F. Jülicher, J. Prost, and K. Sekimoto Phys. Rev. Lett. 92, 078101 (2004) [PDF (108 kB)]

2003

A Motor that Makes its Own Track: Helicase Unwinding of DNA M.D. Betterton and F. Jülicher Phys. Rev. Lett. 91, 258103 (2003) [PDF (180 kB)]
Continuum Theory of Contractile Fibres K. Kruse, A. Zumdieck, and F. Jülicher Europhys. Lett. 64, 716 (2003) [PDF (204 kB)]
Morphogenetic Oscillations during Symmetry Breaking of Regenerating Hydra Vulgaris Cells C. Fütterer, C. Colombo, F. Jülicher and A. Ott Europhys. Lett. 64, 137 (2003) [PDF (320 kB)]
Membranes with Rotating Motors P. Lenz, J.-F. Joanny, F. Jülicher, and J. Prost Phys. Rev. Lett. 91, 108104 (2003) [PDF (103 kB)]
Motion of an Adhesive Gel in a Swelling Gradient: A Mechanism for Cell Locomotion J.-F. Joanny, F. Jülicher, and J. Prost Phys. Rev. Lett. 90, 168102 (2003) [PDF (94 kB)]
Active Traveling Wave in the Cochlea T. Duke and F. Jülicher Phys. Rev. Lett. 90, 158101 (2003) [PDF (315 kB)]
Self-organization and Mechanical Properties of Active Filament Bundles K. Kruse and F. Jülicher Phys. Rev. E 67, 051913 (2003) [PDF (216 kB)]

2002

Formation and Interaction of Membrane Tubes I. Derenyi, F. Jülicher, and J. Prost Phys. Rev. Lett. 88, 238101 (2002) [PDF (121 kB)]
Bidirectional Cooperative Motion of Molecular Motors M. Badoual, F. Jülicher, and J. Prost Proc. Natl. Acad. Sci. 99 (4), 6696 (2002) [PDF (300 kB)] Comment by Thomas Duke [PDF (88 kB)]

2001

Comparison of a Hair Bundle's Spontaneous Oscillations with its Response to Mechanical Stimulation Reveals the Underlying Active Process P. Martin, A.J. Hudspeth and F. Jülicher Proc. Natl. Acad. Sci.98, 14380 (2001) [PDF (240 kB)]
Detachment of Molecular Motors under Tangential Loading A. Parmeggiani, F. Jülicher, L. Peliti and J. Prost Europhys. Lett. 56 (4), 603 (2001) [PDF (145 kB)]
Self-Propagating Patterns in Active Filament Bundles K. Kruse, S. Camalet and F. Jülicher Phys. Rev. Lett.87, 138101 (2001). [PDF (108 kB)]
Physical Basis of Two-Tone Interference in Hearing F. Jülicher, D. Andor and T. Duke Proc. Natl. Acad. Sci.98, 9080 (2001). [PDF (384 kB)]
Mechanical Oscillations at the Cellular Scale F. Jülicher C.R. Acad Sci. (Paris) IV, No. 6, p. 849 (2001). [PDF (184 kB)]

2000

Actively Contracting Bundles of Polar Filaments K. Kruse and F. Jülicher Phys. Rev. Lett. 85, 1778-1781 (2000) [PDF (112 kB)]
Auditory Sensitivity Provided by Self-Tuned Critical Oscillations of Hair Cells S. Camalet , T. Duke, F. Jülicher and J. Prost Proc. Natl. Acad. Sci. USA 97, 3183-3187 (2000) [PDF (361 kB)]; Supplementary Material [PDF (65 kB)]
Generic Aspects of Axonemal Beating S. Camalet and F. Jülicher New J. Phys. 2, 24 (2000) [PDF (299kB)]

1999

Reply to a Comment by Marin et. al F. Jülicher and J. Prost Phys. Rev. Lett. 83, 5404 (1999) [PDF (26 kB)]
Energy Transduction of Isothermal Ratchets: Generic Aspects and Specific Examples Close to and Far from Equilibrium A. Parmeggiani, F. Jülicher, A. Ajdari, and J. Prost Phys. Rev. E 60, 2127 (1999) [PDF (340 kB)]
Force and Motion Generation of Molecular Motors: A Generic Description F. Jülicher in Transport and Structure: Their Competitive Roles in Biophysics and Chemistry edited by S.C. Müller, J. Parisi and W. Zimmermann, Lecture Notes in Physics, Springer (Berlin, 1999). [PDF (401 kB)]
Dynamic Fluctuations of Semiflexible Filaments R. Everaers, F. Jülicher, A. Ajdari, and A. Maggs Phys. Rev. Lett. 82,3717 (1999). [PDF (190 kB)]
On the Listeria Propulsion Mechanism F. Gerbal, V. Noireaux, C. Sykes, F. Jülicher, P. Chaikin, A. Ott, J. Prost, R. Goldstein, E. Friedrich and D. Louvard Pramana J. Phys. 53,155 (1999). [PDF (21,15 MB)]
Self-Organized Beating and Swimming of Internally Driven Filaments S. Camalet, F. Jülicher and J. Prost Phys. Rev. Lett.82, 1590 (1999). [PDF (167 kB)]

1998

Acting on Actin: The Electric Motility Assay D. Riveline, A. Ott, F. Jülicher, D.A. Winkelmann, O. Cardoso, J.J. Lacapere, S. Magnusdottir, J.L. Viovy, L. Gorre-Talini, and J. Prost Eur Biophys. J. 27, 403 (1998). [PDF (238 kB)]
Molecular Motors: From Individual to Collective Behavior F. Jülicher and J. Prost Prog. Theor. Phys. Supplement 130, 9 (1998). [PDF (190 kB)]
Motion of RNA Polymerase along DNA: A Stochastic Model F. Jülicher and R. Bruinsma Biophys. J. 74,1169 (1998) [PDF (244 kB)]

1997

Modeling Molecular Motors F. Jülicher, A. Ajdari and J. Prost Rev. Mod. Phys.69, 1269 (1997) [PDF (305 kB)]
Pulling on a Filament A. Ajdari, F. Jülicher and A. Maggs J. Phys. I France 7, 823 (1997) [PDF (258 kB)]
Spontaneous Oscillations of Collective Molecular Motors F. Jülicher and J. Prost Phys. Rev. Lett. 78, 4510 (1997) [PDF (130 kB)]

1996

The Morphology of Vesicles of Higher Topological Genus: Conformal Degeneracy and Conformal Modes F. Jülicher J. Phys. II France 6, 1797 (1996) [PDF (959 kB)]
Shape Transformations of Vesicles with Intramembrane Domains F. Jülicher and R. Lipowsky Phys. Rev. E53, 2670 (1996) [PDF (1540 kB)]

1995

Cooperative Molecular Motors F. Jülicher and J. Prost Phys. Rev. Lett. 75, 2618 (1995) [PDF (470 kB)]

1994

Supercoiling Transitions of Closed DNA F. Jülicher Phys. Rev. E49, 2429 (1994) [PDF (784 kB)]
La physique des liposomes X. Michalet, F. Jülicher , B. Fourcade, U.Seifert and D. Bensimon La Recherche269, 1012 (1994) [PDF (1,6 MB)]
Shape Equations for Axisymmetric Vesicles: A Clarification F. Jülicher and U. Seifert Phys. Rev. E49, 4728 (1994) [PDF (306 kB)]
Die Morphologie von Vesikeln F. Jülicher Dissertation, Universität zu Köln (1994) [PDF (13,6 MB)]

1993

Phase Diagrams and Shape Transformations of Toroidal Vesicles F. Jülicher , U. Seifert and R. Lipowsky J. Phys. II France 3, 1681 (1993) [PDF (1,7 MB)]
Conformal Degeneracy and Conformal Diffusion of Vesicles F. Jülicher,U. Seifert and R. Lipowsky Phys. Rev. Lett.71, 452 (1993) [PDF (509 kB)]
Domain-Induced Budding of Vesicles F. Jülicher and R. Lipowsky Phys. Rev. Lett.70, 2964 (1993) [PDF (497 kB)]

1990

Exact Funktional Renormalization Group for Wetting Transitions in 1 + 1 Dimensions F. Jülicher , R. Lipowsky and H. Müller-Krumbhaar Europhys. Lett. 11 (7), 657 (1990) [PDF (884 kB)]

Last updated: August 16, 2024