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Partial financial support for the present work has been facilitated by the Agencia Estatal de Investigacion, Ministerio de Ciencia, Innovacion y Universidades of Spain, under grant PGC-2018-097257-B-C32.

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Jesus Amores, VictorAuthorBenitez, Jose MaAuthorMontans, Francisco JCorresponding Author

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Reverse-engineering and modeling the 3D passive and active responses of skeletal muscle using a data-driven, non-parametric, spline-based procedure

Publicated to:Journal Of The Mechanical Behavior Of Biomedical Materials. 110 (103877): 103877- - 2020-10-01 110(103877), DOI: 10.1016/j.jmbbm.2020.103877

Authors: Moreno, Sonsoles; Jesus Amores, Victor; Benitez, Jose Ma; Montans, Francisco J

Affiliations

Univ Politecn Madrid, ETS Ingn Aeronaut & Espacio, Pza Cardenal Cisneros 3, Madrid 28040, Spain - Author

Abstract

In this work we present a non-parametric data-driven approach to reverse-engineer and model the 3D passive and active responses of skeletal muscle, applied to tibialis anterior muscle of Wistar rats. We assume a Hill-type additive relation for the stored energy into passive and active contributions. The terms of the stored energy have no upfront assumed shape, nor material parameters. These terms are determined directly from experimental data in spline form solving numerically the functional equations of the tests from which experimental data is available. To characterize typical longitudinal-to-transverse behavior in rodent's muscle, experiments from Morrow et al. (J. Mech. Beh. Biomed. Mater. 2010; 3: 124-129) are employed. Then, the passive and active behaviors of Wistar rats are determined from the experiments of Calvo et al. (J. Bomech. 2010; 43:318-325) and Ramirez et al. (J. Theor. Biol. 2010; 267:546-553). The twitch shape is not assumed, but reverse-engineered from experimental data. The influence of the strain and the stimulus voltage and frequency in the active response, are also modeled. A convenient stimulus power-related variable is proposed to comprise both voltage and frequency dependencies in the active response. Then, the behavior of the resulting muscle model depends only on the muscle strain maintained during isometric tests in the muscle and the stimulus power variable, along the time from initiation of the tetanus state.

Keywords

ActivationActive muscle responseAnimalsB-splinesBehaviorComputeConstitutive modelsFinite-element modelForceHyperelastic modelHyperelasticityModels, biologicalMuscle contractionMuscle modelMuscle, skeletalRatsRats, wistarRecruitmentTension-compression switchViscoelasticityWypiwyg hyperelasticity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of The Mechanical Behavior Of Biomedical Materials due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2020, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Mechanics of Materials.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-14:

  • Google Scholar: 7
  • WoS: 6
  • Scopus: 5
  • OpenCitations: 5

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-14:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 12 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/87581/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 51
  • Downloads: 14

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Moreno, Sonsoles) and Last Author (MONTANS LEAL, FRANCISCO JAVIER).

the author responsible for correspondence tasks has been MONTANS LEAL, FRANCISCO JAVIER.