Evidence map›Paper›PMID 42351950›Full record

ArticleBioengineering (Basel, Switzerland)2026

Approach of Dental Implants Through the Transfer-Matrix Method.

Rǎzvan Alexandru Mitrea, Mihai-Sorin Tripa, Alexandru Vlad, Iulia-Maria Bărăian, Petre-Corneliu Opriţoiu, Roxana Carmen Cordoş, Carmen-Gabriela Băcilă, Daniela-Corina Jucan, Mihaela Ligia Ungureşan, Liviu Bolunduţ and 8 more

Abstract read
In one paragraph

Article in Bioengineering (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

18 authors.

Rǎzvan Alexandru MitreaDepartment of Mechanical Engineering, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Mihai-Sorin TripaDepartment of Design Engineering and Robotics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Alexandru VladDepartment of Mechanical Engineering, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Iulia-Maria BărăianDepartment of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Petre-Corneliu OpriţoiuDepartment of Land Measurements and Cadaster, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Roxana Carmen CordoşDepartment of Management and Economic Engineering, Technical University of Cluj-Napoca, 400012 Cluj-Napoca, Romania.ORCID 0000-0003-2552-9368
Carmen-Gabriela BăcilăDepartment of Management and Economic Engineering, Technical University of Cluj-Napoca, 400012 Cluj-Napoca, Romania.
Daniela-Corina JucanDepartment of Management and Economic Engineering, Technical University of Cluj-Napoca, 400012 Cluj-Napoca, Romania.
Mihaela Ligia UngureşanDepartment of Physics and Chemistry, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.ORCID 0000-0001-9193-6741
Liviu BolunduţDepartment of Physics and Chemistry, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.ORCID 0000-0003-3539-0750
Dan PopDepartment of Odontology, "Iuliu Haţeganu" University of Medicine and Pharmacy of Cluj-Napoca, 400012 Cluj-Napoca, Romania.
Ioana Monica DunceaDepartment of Prosthetics and Dental Materials, "Iuliu Haţeganu" University of Medicine and Pharmacy of Cluj-Napoca, 400012 Cluj-Napoca, Romania.
Mariana Florica PopDepartment of Science and Materials Engineering, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.ORCID 0000-0003-2185-2547
Honoriu VăleanDepartment of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.ORCID 0000-0001-7715-7290
Ioan-Aurel CherecheşDepartment of Road Vehicles and Transport, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.ORCID 0000-0002-1463-5264
Veronica MîndrescuDepartment of Motor Performance, Transylvania University of Brașov, 500036 Brașov, Romania.ORCID 0000-0003-0382-6206
Viorica-Mihaela SuciuDepartment of Mechanical Engineering, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania.
Doina-Iulia RotaruDepartment of Odontology, "Iuliu Haţeganu" University of Medicine and Pharmacy of Cluj-Napoca, 400012 Cluj-Napoca, Romania.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Oral health is a very important issue today. This approach presents an original idea: to model the dental implant as a double-articulated buckling bar on an elastic environment. The mandibular bone is considered as the elastic environment. The buckling bar is analyzed using the Transfer-Matrix Method. The risk of buckling is higher for straight bars subjected to axial compression. Therefore, knowing the critical buckling force is very important, especially in the case of dental implants. This study, based on the Transfer-Matrix Method, was carried out in two steps. In the first step, a double-articulated buckling bar on a rigid environment is considered. The second step involves studying the same doubly articulated bar, but with the joint at the lower end resting on an elastic environment. The bone in which the implant is placed is considered as this elastic environment. The Transfer-Matrix Method is easy to implement and provides quick results for problems involving the shape optimization of structural components. This article presents a completely new idea and an original approach to buckling analysis, with applications to dental implants. This work will serve as a foundation for future research involving experimental investigations of dental implants.

Indexed as

buckling bardental implantelastic mediumrigid mediumstate vectortransfer-matrix

Identifiers

PMID42351950
PMCPMC13295396

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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.