--- _id: '10341' abstract: - lang: eng text: Tracing the motion of macromolecules, viruses, and nanoparticles adsorbed onto cell membranes is currently the most direct way of probing the complex dynamic interactions behind vital biological processes, including cell signalling, trafficking, and viral infection. The resulting trajectories are usually consistent with some type of anomalous diffusion, but the molecular origins behind the observed anomalous behaviour are usually not obvious. Here we use coarse-grained molecular dynamics simulations to help identify the physical mechanisms that can give rise to experimentally observed trajectories of nanoscopic objects moving on biological membranes. We find that diffusion on membranes of high fluidities typically results in normal diffusion of the adsorbed nanoparticle, irrespective of the concentration of receptors, receptor clustering, or multivalent interactions between the particle and membrane receptors. Gel-like membranes on the other hand result in anomalous diffusion of the particle, which becomes more pronounced at higher receptor concentrations. This anomalous diffusion is characterised by local particle trapping in the regions of high receptor concentrations and fast hopping between such regions. The normal diffusion is recovered in the limit where the gel membrane is saturated with receptors. We conclude that hindered receptor diffusivity can be a common reason behind the observed anomalous diffusion of viruses, vesicles, and nanoparticles adsorbed on cell and model membranes. Our results enable direct comparison with experiments and offer a new route for interpreting motility experiments on cell membranes. acknowledgement: We thank Jessica McQuade for her input at the start of the project. We acknowledge support from the ERASMUS Placement Programme (V. E. D.), the UCL Institute for the Physics of Living Systems (V. E. D. and A. Š.), the UCL Global Engagement Fund (L. M. C. J.), and the Royal Society (A. Š.). article_processing_charge: No article_type: original author: - first_name: V. E. full_name: Debets, V. E. last_name: Debets - first_name: L. M. C. full_name: Janssen, L. M. C. last_name: Janssen - first_name: Anđela full_name: Šarić, Anđela id: bf63d406-f056-11eb-b41d-f263a6566d8b last_name: Šarić orcid: 0000-0002-7854-2139 citation: ama: Debets VE, Janssen LMC, Šarić A. Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes. Soft Matter. 2020;16(47):10628-10639. doi:10.1039/d0sm00712a apa: Debets, V. E., Janssen, L. M. C., & Šarić, A. (2020). Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/d0sm00712a chicago: Debets, V. E., L. M. C. Janssen, and Anđela Šarić. “Characterising the Diffusion of Biological Nanoparticles on Fluid and Cross-Linked Membranes.” Soft Matter. Royal Society of Chemistry, 2020. https://doi.org/10.1039/d0sm00712a. ieee: V. E. Debets, L. M. C. Janssen, and A. Šarić, “Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes,” Soft Matter, vol. 16, no. 47. Royal Society of Chemistry, pp. 10628–10639, 2020. ista: Debets VE, Janssen LMC, Šarić A. 2020. Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes. Soft Matter. 16(47), 10628–10639. mla: Debets, V. E., et al. “Characterising the Diffusion of Biological Nanoparticles on Fluid and Cross-Linked Membranes.” Soft Matter, vol. 16, no. 47, Royal Society of Chemistry, 2020, pp. 10628–39, doi:10.1039/d0sm00712a. short: V.E. Debets, L.M.C. Janssen, A. Šarić, Soft Matter 16 (2020) 10628–10639. date_created: 2021-11-26T06:29:41Z date_published: 2020-10-06T00:00:00Z date_updated: 2021-11-26T07:00:33Z day: '06' doi: 10.1039/d0sm00712a extern: '1' external_id: pmid: - '33084724' intvolume: ' 16' issue: '47' keyword: - condensed matter physics - general chemistry language: - iso: eng main_file_link: - open_access: '1' url: https://www.biorxiv.org/content/10.1101/2020.05.01.071761v1 month: '10' oa: 1 oa_version: Published Version page: 10628-10639 pmid: 1 publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' scopus_import: '1' status: public title: Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 16 year: '2020' ... --- _id: '7764' abstract: - lang: eng text: States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In overconstrained disordered packings they have a natural mathematical correspondence with the zero-energy vibrational modes in underconstrained systems. While substantial attention in the literature has been paid to diverging length scales associated with zero- and finite-energy vibrational modes in jammed systems, less is known about the spatial structure of the states of self stress. In this work we define a natural way in which a unique state of self stress can be associated with each bond in a disordered spring network derived from a jammed packing, and then investigate the spatial structure of these bond-localized states of self stress. This allows for an understanding of how the elastic properties of a system would change upon changing the strength or even existence of any bond in the system. article_processing_charge: No article_type: original author: - first_name: Daniel M. full_name: Sussman, Daniel M. last_name: Sussman - first_name: Carl Peter full_name: Goodrich, Carl Peter id: EB352CD2-F68A-11E9-89C5-A432E6697425 last_name: Goodrich orcid: 0000-0002-1307-5074 - first_name: Andrea J. full_name: Liu, Andrea J. last_name: Liu citation: ama: Sussman DM, Goodrich CP, Liu AJ. Spatial structure of states of self stress in jammed systems. Soft Matter. 2016;12(17):3982-3990. doi:10.1039/c6sm00094k apa: Sussman, D. M., Goodrich, C. P., & Liu, A. J. (2016). Spatial structure of states of self stress in jammed systems. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c6sm00094k chicago: Sussman, Daniel M., Carl Peter Goodrich, and Andrea J. Liu. “Spatial Structure of States of Self Stress in Jammed Systems.” Soft Matter. Royal Society of Chemistry, 2016. https://doi.org/10.1039/c6sm00094k. ieee: D. M. Sussman, C. P. Goodrich, and A. J. Liu, “Spatial structure of states of self stress in jammed systems,” Soft Matter, vol. 12, no. 17. Royal Society of Chemistry, pp. 3982–3990, 2016. ista: Sussman DM, Goodrich CP, Liu AJ. 2016. Spatial structure of states of self stress in jammed systems. Soft Matter. 12(17), 3982–3990. mla: Sussman, Daniel M., et al. “Spatial Structure of States of Self Stress in Jammed Systems.” Soft Matter, vol. 12, no. 17, Royal Society of Chemistry, 2016, pp. 3982–90, doi:10.1039/c6sm00094k. short: D.M. Sussman, C.P. Goodrich, A.J. Liu, Soft Matter 12 (2016) 3982–3990. date_created: 2020-04-30T11:40:56Z date_published: 2016-03-14T00:00:00Z date_updated: 2021-01-12T08:15:22Z day: '14' doi: 10.1039/c6sm00094k extern: '1' intvolume: ' 12' issue: '17' language: - iso: eng month: '03' oa_version: None page: 3982-3990 publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' related_material: link: - relation: other url: https://doi.org/10.1039/c6sm02496c status: public title: Spatial structure of states of self stress in jammed systems type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 12 year: '2016' ... --- _id: '7766' abstract: - lang: eng text: We study the vibrational properties near a free surface of disordered spring networks derived from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have a plateau in the density of vibrational modes extending down to a frequency scale ω*. This frequency is controlled by ΔZ = 〈Z〉 − 2d, the difference between the average coordination of the spheres and twice the spatial dimension, d, of the system, which vanishes at the jamming transition. In the presence of a free surface we find that there is a density of disordered vibrational modes associated with the surface that extends far below ω*. The total number of these low-frequency surface modes is controlled by ΔZ, and the profile of their decay into the bulk has two characteristic length scales, which diverge as ΔZ−1/2 and ΔZ−1 as the jamming transition is approached. article_processing_charge: No article_type: original author: - first_name: Daniel M. full_name: Sussman, Daniel M. last_name: Sussman - first_name: Carl Peter full_name: Goodrich, Carl Peter id: EB352CD2-F68A-11E9-89C5-A432E6697425 last_name: Goodrich orcid: 0000-0002-1307-5074 - first_name: Andrea J. full_name: Liu, Andrea J. last_name: Liu - first_name: Sidney R. full_name: Nagel, Sidney R. last_name: Nagel citation: ama: Sussman DM, Goodrich CP, Liu AJ, Nagel SR. Disordered surface vibrations in jammed sphere packings. Soft Matter. 2015;11(14):2745-2751. doi:10.1039/c4sm02905d apa: Sussman, D. M., Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2015). Disordered surface vibrations in jammed sphere packings. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c4sm02905d chicago: Sussman, Daniel M., Carl Peter Goodrich, Andrea J. Liu, and Sidney R. Nagel. “Disordered Surface Vibrations in Jammed Sphere Packings.” Soft Matter. Royal Society of Chemistry, 2015. https://doi.org/10.1039/c4sm02905d. ieee: D. M. Sussman, C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Disordered surface vibrations in jammed sphere packings,” Soft Matter, vol. 11, no. 14. Royal Society of Chemistry, pp. 2745–2751, 2015. ista: Sussman DM, Goodrich CP, Liu AJ, Nagel SR. 2015. Disordered surface vibrations in jammed sphere packings. Soft Matter. 11(14), 2745–2751. mla: Sussman, Daniel M., et al. “Disordered Surface Vibrations in Jammed Sphere Packings.” Soft Matter, vol. 11, no. 14, Royal Society of Chemistry, 2015, pp. 2745–51, doi:10.1039/c4sm02905d. short: D.M. Sussman, C.P. Goodrich, A.J. Liu, S.R. Nagel, Soft Matter 11 (2015) 2745–2751. date_created: 2020-04-30T11:41:23Z date_published: 2015-02-15T00:00:00Z date_updated: 2021-01-12T08:15:23Z day: '15' doi: 10.1039/c4sm02905d extern: '1' intvolume: ' 11' issue: '14' language: - iso: eng month: '02' oa_version: None page: 2745-2751 publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' status: public title: Disordered surface vibrations in jammed sphere packings type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 11 year: '2015' ... --- _id: '7775' abstract: - lang: eng text: As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further compression, the system should become insensitive to boundary conditions provided it is sufficiently large. Here we explore the linear response to a large class of boundary perturbations in 2 and 3 dimensions. We consider each finite packing with periodic-boundary conditions as the basis of an infinite square or cubic lattice and study properties of vibrational modes at arbitrary wave vector. We find that the stability of such modes can be understood in terms of a competition between plane waves and the anomalous vibrational modes associated with the jamming transition; infinitesimal boundary perturbations become irrelevant for systems that are larger than a length scale that characterizes the transverse excitations. This previously identified length diverges at the jamming transition. article_number: '11000' article_processing_charge: No article_type: original author: - first_name: Samuel S. full_name: Schoenholz, Samuel S. last_name: Schoenholz - first_name: Carl Peter full_name: Goodrich, Carl Peter id: EB352CD2-F68A-11E9-89C5-A432E6697425 last_name: Goodrich orcid: 0000-0002-1307-5074 - first_name: Oleg full_name: Kogan, Oleg last_name: Kogan - first_name: Andrea J. full_name: Liu, Andrea J. last_name: Liu - first_name: Sidney R. full_name: Nagel, Sidney R. last_name: Nagel citation: ama: 'Schoenholz SS, Goodrich CP, Kogan O, Liu AJ, Nagel SR. Stability of jammed packings II: The transverse length scale. Soft Matter. 2013;9(46). doi:10.1039/c3sm51096d' apa: 'Schoenholz, S. S., Goodrich, C. P., Kogan, O., Liu, A. J., & Nagel, S. R. (2013). Stability of jammed packings II: The transverse length scale. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c3sm51096d' chicago: 'Schoenholz, Samuel S., Carl Peter Goodrich, Oleg Kogan, Andrea J. Liu, and Sidney R. Nagel. “Stability of Jammed Packings II: The Transverse Length Scale.” Soft Matter. Royal Society of Chemistry, 2013. https://doi.org/10.1039/c3sm51096d.' ieee: 'S. S. Schoenholz, C. P. Goodrich, O. Kogan, A. J. Liu, and S. R. Nagel, “Stability of jammed packings II: The transverse length scale,” Soft Matter, vol. 9, no. 46. Royal Society of Chemistry, 2013.' ista: 'Schoenholz SS, Goodrich CP, Kogan O, Liu AJ, Nagel SR. 2013. Stability of jammed packings II: The transverse length scale. Soft Matter. 9(46), 11000.' mla: 'Schoenholz, Samuel S., et al. “Stability of Jammed Packings II: The Transverse Length Scale.” Soft Matter, vol. 9, no. 46, 11000, Royal Society of Chemistry, 2013, doi:10.1039/c3sm51096d.' short: S.S. Schoenholz, C.P. Goodrich, O. Kogan, A.J. Liu, S.R. Nagel, Soft Matter 9 (2013). date_created: 2020-04-30T11:43:58Z date_published: 2013-10-08T00:00:00Z date_updated: 2021-01-12T08:15:27Z day: '08' doi: 10.1039/c3sm51096d extern: '1' intvolume: ' 9' issue: '46' language: - iso: eng month: '10' oa_version: None publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' status: public title: 'Stability of jammed packings II: The transverse length scale' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 9 year: '2013' ... --- _id: '7774' abstract: - lang: eng text: In 2005, Wyart et al. [Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*. article_number: '10993' article_processing_charge: No article_type: original author: - first_name: Carl Peter full_name: Goodrich, Carl Peter id: EB352CD2-F68A-11E9-89C5-A432E6697425 last_name: Goodrich orcid: 0000-0002-1307-5074 - first_name: Wouter G. full_name: Ellenbroek, Wouter G. last_name: Ellenbroek - first_name: Andrea J. full_name: Liu, Andrea J. last_name: Liu citation: ama: 'Goodrich CP, Ellenbroek WG, Liu AJ. Stability of jammed packings I: The rigidity length scale. Soft Matter. 2013;9(46). doi:10.1039/c3sm51095f' apa: 'Goodrich, C. P., Ellenbroek, W. G., & Liu, A. J. (2013). Stability of jammed packings I: The rigidity length scale. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c3sm51095f' chicago: 'Goodrich, Carl Peter, Wouter G. Ellenbroek, and Andrea J. Liu. “Stability of Jammed Packings I: The Rigidity Length Scale.” Soft Matter. Royal Society of Chemistry, 2013. https://doi.org/10.1039/c3sm51095f.' ieee: 'C. P. Goodrich, W. G. Ellenbroek, and A. J. Liu, “Stability of jammed packings I: The rigidity length scale,” Soft Matter, vol. 9, no. 46. Royal Society of Chemistry, 2013.' ista: 'Goodrich CP, Ellenbroek WG, Liu AJ. 2013. Stability of jammed packings I: The rigidity length scale. Soft Matter. 9(46), 10993.' mla: 'Goodrich, Carl Peter, et al. “Stability of Jammed Packings I: The Rigidity Length Scale.” Soft Matter, vol. 9, no. 46, 10993, Royal Society of Chemistry, 2013, doi:10.1039/c3sm51095f.' short: C.P. Goodrich, W.G. Ellenbroek, A.J. Liu, Soft Matter 9 (2013). date_created: 2020-04-30T11:43:42Z date_published: 2013-10-08T00:00:00Z date_updated: 2021-01-12T08:15:27Z day: '08' doi: 10.1039/c3sm51095f extern: '1' intvolume: ' 9' issue: '46' language: - iso: eng month: '10' oa_version: None publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' status: public title: 'Stability of jammed packings I: The rigidity length scale' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 9 year: '2013' ... --- _id: '10127' abstract: - lang: eng text: We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells. The morphology of the patterns can be controlled by the mechanical properties of the surface, and can be fine-tuned by varying the binding energy of the particles. We also repeat our calculations for a fully flexible chain and find that the chain conformations follow patterns similar to those formed by the nanoparticles under analogous conditions. We propose a simple way of understanding and sorting the different structures and relate it to the underlying shape transition of the shell. Finally, we discuss the implications of our results. acknowledgement: This work was supported by the National Science Foundation under Career Grant No. DMR-0846426. We thank Josep C. Pàmies for helpful discussions. article_processing_charge: No article_type: original author: - first_name: Anđela full_name: Šarić, Anđela id: bf63d406-f056-11eb-b41d-f263a6566d8b last_name: Šarić orcid: 0000-0002-7854-2139 - first_name: Angelo full_name: Cacciuto, Angelo last_name: Cacciuto citation: ama: Šarić A, Cacciuto A. Particle self-assembly on soft elastic shells. Soft Matter. 2010;7(5):1874-1878. doi:10.1039/c0sm01143f apa: Šarić, A., & Cacciuto, A. (2010). Particle self-assembly on soft elastic shells. Soft Matter. Royal Society of Chemistry (RSC). https://doi.org/10.1039/c0sm01143f chicago: Šarić, Anđela, and Angelo Cacciuto. “Particle Self-Assembly on Soft Elastic Shells.” Soft Matter. Royal Society of Chemistry (RSC), 2010. https://doi.org/10.1039/c0sm01143f. ieee: A. Šarić and A. Cacciuto, “Particle self-assembly on soft elastic shells,” Soft Matter, vol. 7, no. 5. Royal Society of Chemistry (RSC), pp. 1874–1878, 2010. ista: Šarić A, Cacciuto A. 2010. Particle self-assembly on soft elastic shells. Soft Matter. 7(5), 1874–1878. mla: Šarić, Anđela, and Angelo Cacciuto. “Particle Self-Assembly on Soft Elastic Shells.” Soft Matter, vol. 7, no. 5, Royal Society of Chemistry (RSC), 2010, pp. 1874–78, doi:10.1039/c0sm01143f. short: A. Šarić, A. Cacciuto, Soft Matter 7 (2010) 1874–1878. date_created: 2021-10-12T08:34:23Z date_published: 2010-12-23T00:00:00Z date_updated: 2021-10-12T09:49:27Z day: '23' doi: 10.1039/c0sm01143f extern: '1' external_id: arxiv: - '1010.2453' intvolume: ' 7' issue: '5' keyword: - condensed matter physics - general chemistry language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1010.2453 month: '12' oa: 1 oa_version: Preprint page: 1874-1878 publication: Soft Matter publication_identifier: issn: - 1744-683X - 1744-6848 publication_status: published publisher: Royal Society of Chemistry (RSC) quality_controlled: '1' status: public title: Particle self-assembly on soft elastic shells type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 7 year: '2010' ...