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Cited by 3Mathematical Biology Tumor GrowthGene Regulatory Network AnalysisMathematical and Theoretical Epidemiology and Ecology Models

Cellular gradient flow structure linking single-cell-level rules and population-level dynamics

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Horiguchi, Shuhei A., Kobayashi, Tetsuya J.·2023·Physical Review Research
DOI 10.1103/physrevresearch.5.l022052
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Abstract

In multicellular systems, single-cell behaviors should be coordinated consistently with the overall population dynamics and functions.However, the interrelation between single-cell rules and the population-level goal is still elusive.In this work, we reveal that these two levels are naturally connected via a gradient flow structure of heterogeneous cellular populations and that biologically prevalent single-cell rules, such as unidirectional type switching and hierarchical order in types, emerge from this structure.We also demonstrate the gradient flow structure in a standard model of the T-cell immune response.This theoretical framework works as a basis for understanding multicellular dynamics and functions.

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Crossref · 10.1103/physrevresearch.5.l022052

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  • A cFFL consists of a fast direct pathway and a slow indirect pathway, which filters out short-lived and spurious signals by integrating these inputs.

    “A cFFL consists of a fast direct pathway and a slow indirect pathway, which filters out short-lived and spurious signals by integrating these inputs.”

    From Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies (2026) · cites this paper as [45]

    The T-cell immune response model section describes changes in T-cell populations, and the Discussion describes a gradient-flow framework. Searches for cFFLs, direct and indirect pathways, and filtering short-lived signals found no passage addressing the claimed mechanism. (LLM, conf=0.78)

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2 of the 34 references couldn’t be matched to a known paper.

Research works printed but not linked: 3

  1. F. Alenzi, B. Alenazi, M. Salem, A. Al-Jabri, and R. Wyse, The haemopoietic stem cell: Between apoptosis and self renewal, Yale J. Biol. Med. 82, 7 (2009).
  2. See Supplemental Material at http://link.aps.org/supplemental/ 10.1103/PhysRevResearch.5.L022052 for the derivation of equations, and mathematical and biological details, which includes Refs. [30-35].
  3. M. A. Peletier, Variational modelling: Energies, gradient flows, and large deviations, arXiv:1402.1990. · arXiv

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Authors
Horiguchi, S. A., & Kobayashi, T. J.
Affiliations
The University of Tokyo (JP)
Corresponding author
Kobayashi, Tetsuya J.
ORCID
Venue
Physical Review Research
Publisher
American Physical Society (APS)
Published
2023-06-08
Volume
5
Issue
2
ISSN
2643-1564 (ISSN-L)
DOI
10.1103/physrevresearch.5.l022052
OpenAlex
W4380046992
Cited by
3
References
34
Citations by year
2026: 1 · 2025: 1 · 2024: 1
FWCI
0.63
Type
journal article
Language
en
Open access
Licence
Locations
  • Physical Review Research (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
  • Japan Society for the Promotion of Science (JP21J21415, 19H05799)
  • Japan Science and Technology Agency (JPMJCR2011, JPMJCR1927)
Topics
  • Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
Keywords
gradient flow structure, multicellular systems, heterogeneous cell populations, T cell response, cell population dynamics

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