Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis
This research shows an image processing method to determine the liver tissue’s mechanical behavior under physiological damage caused by fibrosis pathology. The proposed method consists of using a liver tissue CAD/CAE model obtained from a tomography of the human abdomen, where the diaphragmatic surf...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/9/661 |
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| author | Arturo Yishai Prieto-Vázquez Alejandro Cuautle-Estrada Mario Alberto Grave-Capistrán Octavio Ramírez Christopher René Torres-SanMiguel |
| author_facet | Arturo Yishai Prieto-Vázquez Alejandro Cuautle-Estrada Mario Alberto Grave-Capistrán Octavio Ramírez Christopher René Torres-SanMiguel |
| author_sort | Arturo Yishai Prieto-Vázquez |
| collection | DOAJ |
| description | This research shows an image processing method to determine the liver tissue’s mechanical behavior under physiological damage caused by fibrosis pathology. The proposed method consists of using a liver tissue CAD/CAE model obtained from a tomography of the human abdomen, where the diaphragmatic surface of this tissue is compressed by a moving flat surface. For this work, two tools were created—the first to analyze the deformations and the second to analyze the displacements of the liver tissue. Gibbon and MATLAB<sup>®</sup> were used for numerical analysis with the FEBio computer program. Although deformation in the scenario can be treated as an orthogonal coordinate system, the relationship between the total change in height (measured) and the deformation was obtained. The outcomes show liver tissue behavior as a hyperelastic model; the Mooney–Rivlin mathematical characterization model was proposed in this case. Another method to determine the level of physiological damage caused by fibrosis is fractal analysis. This work used the Hausdorff fractal dimension (HFD) method to calculate and analyze the 2D topological surface. |
| first_indexed | 2024-03-10T22:44:01Z |
| format | Article |
| id | doaj.art-1ac8431236da41f48eab182b008d756d |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T22:44:01Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-1ac8431236da41f48eab182b008d756d2023-11-19T10:48:26ZengMDPI AGFractal and Fractional2504-31102023-08-017966110.3390/fractalfract7090661Fractal Analysis and FEM Assessment of Soft Tissue Affected by FibrosisArturo Yishai Prieto-Vázquez0Alejandro Cuautle-Estrada1Mario Alberto Grave-Capistrán2Octavio Ramírez3Christopher René Torres-SanMiguel4Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Sección de Estudios de Posgrado e Investigación, Unidad Zacatenco Edificio, Mexico City 07738, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Sección de Estudios de Posgrado e Investigación, Unidad Zacatenco Edificio, Mexico City 07738, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Sección de Estudios de Posgrado e Investigación, Unidad Zacatenco Edificio, Mexico City 07738, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Sección de Estudios de Posgrado e Investigación, Unidad Zacatenco Edificio, Mexico City 07738, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Sección de Estudios de Posgrado e Investigación, Unidad Zacatenco Edificio, Mexico City 07738, MexicoThis research shows an image processing method to determine the liver tissue’s mechanical behavior under physiological damage caused by fibrosis pathology. The proposed method consists of using a liver tissue CAD/CAE model obtained from a tomography of the human abdomen, where the diaphragmatic surface of this tissue is compressed by a moving flat surface. For this work, two tools were created—the first to analyze the deformations and the second to analyze the displacements of the liver tissue. Gibbon and MATLAB<sup>®</sup> were used for numerical analysis with the FEBio computer program. Although deformation in the scenario can be treated as an orthogonal coordinate system, the relationship between the total change in height (measured) and the deformation was obtained. The outcomes show liver tissue behavior as a hyperelastic model; the Mooney–Rivlin mathematical characterization model was proposed in this case. Another method to determine the level of physiological damage caused by fibrosis is fractal analysis. This work used the Hausdorff fractal dimension (HFD) method to calculate and analyze the 2D topological surface.https://www.mdpi.com/2504-3110/7/9/661liver tissuefibrosishyperelastic modelHausdorff distancesJaccard indexfractals |
| spellingShingle | Arturo Yishai Prieto-Vázquez Alejandro Cuautle-Estrada Mario Alberto Grave-Capistrán Octavio Ramírez Christopher René Torres-SanMiguel Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis Fractal and Fractional liver tissue fibrosis hyperelastic model Hausdorff distances Jaccard index fractals |
| title | Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis |
| title_full | Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis |
| title_fullStr | Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis |
| title_full_unstemmed | Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis |
| title_short | Fractal Analysis and FEM Assessment of Soft Tissue Affected by Fibrosis |
| title_sort | fractal analysis and fem assessment of soft tissue affected by fibrosis |
| topic | liver tissue fibrosis hyperelastic model Hausdorff distances Jaccard index fractals |
| url | https://www.mdpi.com/2504-3110/7/9/661 |
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