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Non-Fickian diffusion within assemblies of the intrinsically disordered protein β-casein

Miñarro, Laura M. ; Chakraborty, Saikat ; Beck, Christian ; Grundel, Anna C. LU ; Mosca, Ilaria ; Roosen-Runge, Felix LU ; Morozova, Tatiana I. ; Barrat, Jean Louis ; Schreiber, Frank and Seydel, Tilo (2026) In Proceedings of the National Academy of Sciences of the United States of America 123(11).
Abstract

The molecular mechanisms governing internal fluctuations in intrinsically disordered protein (IDP) assemblies are crucial to the stability and dynamics of both regulated and aberrant toxic cellular aggregates, but remain poorly understood. By comprehensively combining high-resolution quasi-elastic neutron scattering with all-atom molecular dynamics simulations, we probe the motions of β-casein, a model IDP, inside its assemblies. We uncover a previously unresolved slow relaxation process with phenomenological characteristics of anomalous non-Fickian diffusion. This anomalous signature emerges from a continuous mobility gradient governed by density and crowding within the assemblies; the core is denser and more compact, and mobility... (More)

The molecular mechanisms governing internal fluctuations in intrinsically disordered protein (IDP) assemblies are crucial to the stability and dynamics of both regulated and aberrant toxic cellular aggregates, but remain poorly understood. By comprehensively combining high-resolution quasi-elastic neutron scattering with all-atom molecular dynamics simulations, we probe the motions of β-casein, a model IDP, inside its assemblies. We uncover a previously unresolved slow relaxation process with phenomenological characteristics of anomalous non-Fickian diffusion. This anomalous signature emerges from a continuous mobility gradient governed by density and crowding within the assemblies; the core is denser and more compact, and mobility increases progressively toward the exterior. This dynamical heterogeneity underlies the non-Gaussian behavior and accounts for the observed spectral broadening. Our findings provide insight into how disorder and extreme local crowding within IDP assemblies can result in a fundamentally different behavior compared to, e.g., clusters of well-folded proteins. The deviations from Fickian diffusion arise from dynamic heterogeneity and can be captured within the framework by a model typically used for the jump diffusion observed in liquids, thereby extending its applicability.

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; ; ; ; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
high-resolution neutron spectroscopy, intrinsically disordered protein, molecular dynamics simulations, self-assembly, short-time self-diffusion
in
Proceedings of the National Academy of Sciences of the United States of America
volume
123
issue
11
article number
e2532636123
publisher
National Academy of Sciences
external identifiers
  • pmid:41824503
  • scopus:105033095227
ISSN
0027-8424
DOI
10.1073/pnas.2532636123
language
English
LU publication?
yes
additional info
Publisher Copyright: Copyright © 2026 the Author(s).
id
d9a5b3a7-fe44-4890-9fd2-bfb57798a7e6
date added to LUP
2026-04-23 16:14:20
date last changed
2026-09-26 09:58:41
@article{d9a5b3a7-fe44-4890-9fd2-bfb57798a7e6,
  abstract     = {{<p>The molecular mechanisms governing internal fluctuations in intrinsically disordered protein (IDP) assemblies are crucial to the stability and dynamics of both regulated and aberrant toxic cellular aggregates, but remain poorly understood. By comprehensively combining high-resolution quasi-elastic neutron scattering with all-atom molecular dynamics simulations, we probe the motions of β-casein, a model IDP, inside its assemblies. We uncover a previously unresolved slow relaxation process with phenomenological characteristics of anomalous non-Fickian diffusion. This anomalous signature emerges from a continuous mobility gradient governed by density and crowding within the assemblies; the core is denser and more compact, and mobility increases progressively toward the exterior. This dynamical heterogeneity underlies the non-Gaussian behavior and accounts for the observed spectral broadening. Our findings provide insight into how disorder and extreme local crowding within IDP assemblies can result in a fundamentally different behavior compared to, e.g., clusters of well-folded proteins. The deviations from Fickian diffusion arise from dynamic heterogeneity and can be captured within the framework by a model typically used for the jump diffusion observed in liquids, thereby extending its applicability.</p>}},
  author       = {{Miñarro, Laura M. and Chakraborty, Saikat and Beck, Christian and Grundel, Anna C. and Mosca, Ilaria and Roosen-Runge, Felix and Morozova, Tatiana I. and Barrat, Jean Louis and Schreiber, Frank and Seydel, Tilo}},
  issn         = {{0027-8424}},
  keywords     = {{high-resolution neutron spectroscopy; intrinsically disordered protein; molecular dynamics simulations; self-assembly; short-time self-diffusion}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{11}},
  publisher    = {{National Academy of Sciences}},
  series       = {{Proceedings of the National Academy of Sciences of the United States of America}},
  title        = {{Non-Fickian diffusion within assemblies of the intrinsically disordered protein β-casein}},
  url          = {{http://dx.doi.org/10.1073/pnas.2532636123}},
  doi          = {{10.1073/pnas.2532636123}},
  volume       = {{123}},
  year         = {{2026}},
}