Evidence map›Paper›PMID 27956877›Full record

ArticleProceedings. Mathematical, physical, and engineering sciences2016

Anomalous diffusion and transport in heterogeneous systems separated by a membrane.

E K Lenzi, H V Ribeiro, A A Tateishi, R S Zola, L R Evangelista

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Proceedings. Mathematical, physical, and engineering sciences, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing 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

1 citing paper in PubMed.

  1. 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

5 authors.

E K LenziDepartamento de Física , Universidade Estadual de Ponta Grossa , Ponta Grossa, Paraná 87030-900, Brazil.ORCID 0000-0003-3853-1790
H V RibeiroDepartamento de Física , Universidade Estadual de Maringá , Maringá, Paraná 87020-900, Brazil.
A A TateishiDepartamento de Física , Universidade Tecnológica Federal do Paraná , Pato Branco, Paraná 85503-390, Brazil.
R S ZolaDepartamento de Física, Universidade Estadual de Maringá, Maringá, Paraná 87020-900, Brazil; Departamento de Física, Universidade Tecnológica Federal do Paraná, Apucarana, Paraná 86812-460, Brazil.
L R EvangelistaDepartamento de Física , Universidade Estadual de Maringá , Maringá, Paraná 87020-900, Brazil.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Diffusion of particles in a heterogeneous system separated by a semipermeable membrane is investigated. The particle dynamics is governed by fractional diffusion equations in the bulk and by kinetic equations on the membrane, which characterizes an interface between two different media. The kinetic equations are solved by incorporating memory effects to account for anomalous diffusion and, consequently, non-Debye relaxations. A rich variety of behaviours for the particle distribution at the interface and in the bulk may be found, depending on the choice of characteristic times in the boundary conditions and on the fractional index of the modelling equations.

Indexed as

anomalous diffusionfractional diffusion equationsheterogeneous mediatransport

Identifiers

PMID27956877
PMCPMC5134308

What OpenQuestion holds

Textmetadata
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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.