On a Keller-Segel type equation to model Brain Microvascular Endothelial Cells growth's patterns.

B Ambrosio, A F Garroudji, S Fitzsimons, H Zaag, F M Elahi

Abstract readPreprint

In one paragraph

Article in ArXiv, 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

5 authors.

B AmbrosioUniversity Le Havre Normandie, Normandie Univ., LMAH UR 3821, Le Havre, 76600, France.

A F GarroudjiUniversity Sorbonne Paris Nord, LAGA, CNRS (UMR 7539), Villetaneuse, 93430, France.

S FitzsimonsSchool of Medicine, Conway Institute, University College of Dublin, Belfield, Dublin, 4, Ireland.

H ZaagUniversity Sorbonne Paris Nord, LAGA, CNRS (UMR 7539), Villetaneuse, 93430, France.

F M ElahiDepartments of Neurology and Neuroscience, Ronald M. Loeb Center for Alzheimer's Disease, Friedman Brain Institute, Glickenhaus Center for Successful Aging, Icahn School of Medicine at Mount Sinai, 1 Gustave L. Levy Place, New York, 10029-5674, NY, USA.

Funding

CSRD VA IK2 CX002180

6 · The paper itself

Abstract

This article presents a partial differential equation (PDE) of Keller-Segel (KS) type that reproduces patterns commonly observed during the growth of brain microvasculature. We provide mathematical insights into the mechanisms underlying the emergence of these patterns. In addition, we derive a data-driven equation that ensures a consistent temporal evolution of the chemoattractant associated with the observed microvascular dynamics. Beyond numerical simulations, the aim of this study is to advance a comprehensive mathematical modeling framework, spanning blood flow in cerebral arterial networks to biochemical processes, in order to better understand how vascular impairments may contribute to neurodegenerative diseases.

Indexed as

Brain MicrovasculatureComputational NeuroscienceKeller-SegelMathematical AnalysisMathematical Modeling

Identifiers

PMID42094271

PMCPMC13142554

What OpenQuestion holds

Textmetadata

LicenceCC BY

Read underepoch 390

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.