Evidence map›Paper›PMID 34556571›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2021

Emergent probability fluxes in confined microbial navigation.

Jan Cammann, Fabian Jan Schwarzendahl, Tanya Ostapenko, Danylo Lavrentovich, Oliver Bäumchen, Marco G Mazza

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.

0numbers the graph read from it
0cells of the map it votes in
12citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

12 citing papers in PubMed.

  1. Article
  2. Geometrical preference of anchoring sites in the unicellular organismProceedings of the National Academy of Sciences of the United States of America · 2026
    Article
  3. Article
  4. Active billiards: Engineering boundaries for the spatial control of confined active particles.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  5. Form and function in biological filaments: a physicist's review.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2025
    Review
  6. Review
  7. Article
  8. Methods and Measures for Investigating Microscale Motility.Integrative and comparative biology · 2023
    Review
  9. Article
  10. Article
  11. Article
  12. Emergent probability fluxes in confined microbial navigation.Proceedings of the National Academy of Sciences of the United States of America · 2021
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

6 authors.

Jan CammannInterdisciplinary Centre for Mathematical Modelling, Loughborough University, Loughborough LE11 3TU, United Kingdom.ORCID 0000-0003-3245-8078
Fabian Jan SchwarzendahlDepartment of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.
Tanya OstapenkoDepartment of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.ORCID 0000-0003-2267-8093
Danylo LavrentovichDepartment of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.ORCID 0000-0002-8432-9596
Oliver BäumchenDepartment of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.ORCID 0000-0002-4879-0369
Marco G MazzaInterdisciplinary Centre for Mathematical Modelling, Loughborough University, Loughborough LE11 3TU, United Kingdom; m.g.mazza@lboro.ac.uk.ORCID 0000-0002-5625-9121

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

When the motion of a motile cell is observed closely, it appears erratic, and yet the combination of nonequilibrium forces and surfaces can produce striking examples of organization in microbial systems. While most of our current understanding is based on bulk systems or idealized geometries, it remains elusive how and at which length scale self-organization emerges in complex geometries. Here, using experiments and analytical and numerical calculations, we study the motion of motile cells under controlled microfluidic conditions and demonstrate that probability flux loops organize active motion, even at the level of a single cell exploring an isolated compartment of nontrivial geometry. By accounting for the interplay of activity and interfacial forces, we find that the boundary's curvature determines the nonequilibrium probability fluxes of the motion. We theoretically predict a universal relation between fluxes and global geometric properties that is directly confirmed by experiments. Our findings open the possibility to decipher the most probable trajectories of motile cells and may enable the design of geometries guiding their time-averaged motion.

Indexed as

Cell MovementHydrodynamicsMathematical ConceptsChlamydomonas reinhardtiiMicrofluidicsactive mattermicrobial motilitymicroswimmersnonequilibrium statistical mechanicsprobability fluxes

Identifiers

PMID34556571
PMCPMC8488662

What OpenQuestion holds

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LicenceCC BY-NC-ND
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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.