Evidence map›Paper›PMID 34526399›Full record

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

Scaling of joint mass and metabolism fluctuations in in silico cell-laden spheroids.

Ermes Botte, Francesco Biagini, Chiara Magliaro, Andrea Rinaldo, Amos Maritan, Arti Ahluwalia

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 7 papers.

0numbers the graph read from it
0cells of the map it votes in
7citing 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

7 citing papers in PubMed.

  1. Passage-Dependent Size Distributions of Human-Derived Cells: Implications for Metabolic Assays.FASEB journal : official publication of the Federation of American Societies for Experimental Biology · 2026
    Article
  2. Article
  3. Article
  4. A stochastic theory of urban metabolism.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  5. Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  6. Article
  7. 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.

Ermes BotteResearch Centre "E. Piaggio," University of Pisa, 56122 Pisa, Italy.ORCID 0000-0001-5058-5316
Francesco BiaginiResearch Centre "E. Piaggio," University of Pisa, 56122 Pisa, Italy.ORCID 0000-0002-9056-8024
Chiara MagliaroResearch Centre "E. Piaggio," University of Pisa, 56122 Pisa, Italy.ORCID 0000-0003-2520-4643
Andrea RinaldoLaboratory of Ecohydrology, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
Amos MaritanDepartment of Physics and Astronomy "G. Galilei," University of Padova, 35122 Padova, Italy.ORCID 0000-0002-3535-7873
Arti AhluwaliaResearch Centre "E. Piaggio," University of Pisa, 56122 Pisa, Italy; arti.ahluwalia@unipi.it.ORCID 0000-0001-5370-6750

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Variations and fluctuations are characteristic features of biological systems and are also manifested in cell cultures. Here, we describe a computational pipeline for identifying the range of three-dimensional (3D) cell-aggregate sizes in which nonisometric scaling emerges in the presence of joint mass and metabolic rate fluctuations. The 3D cell-laden spheroids with size and single-cell metabolic rates described by probability density functions were randomly generated in silico. The distributions of the resulting metabolic rates of the spheroids were computed by modeling oxygen diffusion and reaction. Then, a method for estimating scaling exponents of correlated variables through statistically significant data collapse of joint probability distributions was developed. The method was used to identify a physiologically relevant range of spheroid sizes, where both nonisometric scaling and a minimum oxygen concentration (0.04 mol⋅m

Indexed as

Cell Culture TechniquesComputational BiologyMetabolismModels, BiologicalModels, TheoreticalMultidimensional Scaling AnalysisOxygenProbabilitySpheroids, CellularOxygencovariationsfinite element modelsscalingspheroids

Identifiers

PMID34526399
PMCPMC8463845

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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.