---
_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'
...