Cited by 1,773Lipid Membrane Structure and BehaviorDiffusion Coefficients in LiquidsFractional Differential Equations Solutions

Brownian motion in biological membranes

Open access
Saffman, P G, Delbrück, M·1975·Proceedings of the National Academy of Sciences

Abstract

Brownian motion (diffusion) of particles in membranes occurs in a highly anisotropic environment. For such particles a translational mobility (independent of velocity) can be defined if the viscosity of the liquid embedding the membrane is taken into account. The results of a model calculation are presented. They suggest that for a realistic situation translational diffusion should be about four times faster in relation to rotational diffusion than in the isotropic case.

Integrity signals

Registry

Crossref · 10.1073/pnas.72.8.3111

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • For flat membranes, Saffman and Delbruck predicted a logarithmic dependence of the diffusion coefficient with the "size" of the membrane, relative to the size of the protein.

    “For flat membranes, Saffman and Delbruck (1975) predicted a logarithmic dependence of the diffusion coefficient with the “size” of the membrane, relative to the size of the protein.”

    From Barriers in the brain: resolving dendritic spine morphology and compartmentalization (2014) · cites this paper as Saffman and Delbruck (1975)

Cited by

Sorted by citations

Authors
Saffman, P. G., & Delbrück, M.
Affiliations
California Institute of Technology (US)
Venue
Proceedings of the National Academy of Sciences
Published
1975-08
Volume
72
Issue
8
Pages
3111-3113
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W1972859350
Cited by
1,773
References
0
Citations by year
2026: 25 · 2025: 55 · 2024: 46 · 2023: 52 · 2022: 57 · 2021: 62 · 2020: 54 · 2019: 66 · 2018: 68 · 2017: 102 · 2016: 54 · 2015: 70 · 2014: 67 · 2013: 57 · 2012: 82
FWCI
4.09
Type
journal article
Language
en
Open access
Locations
  • Proceedings of the National Academy of Sciences (publishedVersion)
  • Europe PMC (PubMed Central) (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
  • CaltechAUTHORS (California Institute of Technology) (submittedVersion)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Lipid Membrane Structure and Behavior
  • Physical Sciences › Chemistry › Spectroscopy › Diffusion Coefficients in Liquids
  • Physical Sciences › Mathematics › Modeling and Simulation › Fractional Differential Equations Solutions
Keywords
Brownian motion, membrane diffusion, biological membranes, translational diffusion, rotational diffusion, anisotropic environments, translational mobility, membrane viscosity, membrane fluidity
MeSH terms
Animals, Anura, Biological Transport, Cell Membrane, Diffusion, Mathematics, Membranes, Models, Biological, Photoreceptor Cells, Protein Conformation, Rhodopsin, Viscosity

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review