Evidence map›Paper›PMID 34183397›Full record

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

Antigenic waves of virus-immune coevolution.

Jacopo Marchi, Michael Lässig, Aleksandra M Walczak, Thierry Mora

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 30 papers.

0numbers the graph read from it
0cells of the map it votes in
30citing 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

30 citing papers in PubMed.

  1. Article
  2. Review
  3. Article
  4. Sociohydrodynamics: Data-driven modeling of social behavior.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  5. A minimal model of panimmunity maintenance by horizontal gene transfer in the ecological dynamics of bacteria and phages.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  6. Trait-space patterning is dictated by the tempo and mode of mutation.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  7. Article
  8. Article
  9. Article
  10. Article
  11. A speed limit on serial strain replacement from original antigenic sin.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  12. A speed limit on serial strain replacement from original antigenic sin.bioRxiv : the preprint server for biology · 2024
    Article
  13. Article
  14. Article
  15. Frontiers in immunology · 2024
    Article
  16. Review
  17. Evolutionary stability of antigenically escaping viruses.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  18. Review
  19. Article
  20. Review
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

4 authors.

Jacopo MarchiLaboratoire de Physique de l'École Normale Supérieure, CNRS, PSL University, Sorbonne Université, and Université de Paris, 75005 Paris, France.
Michael LässigInstitute for Biological Physics, University of Cologne, 50937 Cologne, Germany.
Aleksandra M WalczakLaboratoire de Physique de l'École Normale Supérieure, CNRS, PSL University, Sorbonne Université, and Université de Paris, 75005 Paris, France; aleksandra.walczak@phys.ens.fr thierry.mora@phys.ens.fr.ORCID 0000-0002-2686-5702
Thierry MoraLaboratoire de Physique de l'École Normale Supérieure, CNRS, PSL University, Sorbonne Université, and Université de Paris, 75005 Paris, France; aleksandra.walczak@phys.ens.fr thierry.mora@phys.ens.fr.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The evolution of many microbes and pathogens, including circulating viruses such as seasonal influenza, is driven by immune pressure from the host population. In turn, the immune systems of infected populations get updated, chasing viruses even farther away. Quantitatively understanding how these dynamics result in observed patterns of rapid pathogen and immune adaptation is instrumental to epidemiological and evolutionary forecasting. Here we present a mathematical theory of coevolution between immune systems and viruses in a finite-dimensional antigenic space, which describes the cross-reactivity of viral strains and immune systems primed by previous infections. We show the emergence of an antigenic wave that is pushed forward and canalized by cross-reactivity. We obtain analytical results for shape, speed, and angular diffusion of the wave. In particular, we show that viral-immune coevolution generates an emergent timescale, the persistence time of the wave's direction in antigenic space, which can be much longer than the coalescence time of the viral population. We compare these dynamics to the observed antigenic turnover of influenza strains, and we discuss how the dimensionality of antigenic space impacts the predictability of the evolutionary dynamics. Our results provide a concrete and tractable framework to describe pathogen-host coevolution.

Indexed as

Evolution, MolecularImmunityAntigens, ViralDiffusionModels, BiologicalMolecular Dynamics SimulationStochastic ProcessesAntigens, Viralcoevolutionfitness wavehost–pathogen dynamicsviral evolution

Identifiers

PMID34183397
PMCPMC8271616

What OpenQuestion holds

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Registered trials

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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.