Evidence map›Paper›PMID 41593989›Full record

ArticleEntropy (Basel, Switzerland)2026

Remarks on a Scaling Theory of Spread of COVID-19 with an Application to the Case of Bulgaria.

Svetlan Kartalov, Nikolay K Vitanov

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

2 authors.

Svetlan KartalovInstitute of Mechanics, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 4, 1113 Sofia, Bulgaria.
Nikolay K VitanovInstitute of Mechanics, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 4, 1113 Sofia, Bulgaria.ORCID 0000-0001-6209-547X

Funding

National Fund for Scientific Research of Republic of Bulgaria KP-06-N82/4
6 · The paper itself

Abstract

We present several remarks on the spread of the COVID-19 epidemics in Bulgaria. The remarks are based on the hypothesis that the spread of the infection exhibits scaling properties similar to the scaling in urban dynamics. The corresponding mathematical theory leads us to a relationship for a power-law dependence of the number of infected in a certain region on the corresponding homochrony number. We prove the correctness of the mathematical theory on the basis of data for several Bulgarian regions for the first large COVID-19 wave in 2020. We observe a collapse of the real data along a single straight line.

Indexed as

allometric urban scalingBulgariaCOVID-19dynamic scalinghomocrony numberpower lawSARS-CoV-2self-similarity

Identifiers

PMID41593989
PMCPMC12840216

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.