Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model
Computation-based mathematical models of tissue indentation are capable of predicting the distribution of forces and mechanical properties of soft tissues. This paper presents a three-dimensional mathematical model of anisotropic tissue indentation developed using the mechanical bidomain model. The...
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| Format: | Article |
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MDPI AG
2022-08-01
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| Online Access: | https://www.mdpi.com/2079-6439/10/8/69 |
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| author | Dilmini Wijesinghe Bradley J. Roth |
| author_facet | Dilmini Wijesinghe Bradley J. Roth |
| author_sort | Dilmini Wijesinghe |
| collection | DOAJ |
| description | Computation-based mathematical models of tissue indentation are capable of predicting the distribution of forces and mechanical properties of soft tissues. This paper presents a three-dimensional mathematical model of anisotropic tissue indentation developed using the mechanical bidomain model. The mechanical bidomain model hypothesizes that the relative displacement between intra- and extracellular spaces triggers a force on the mechanosensitive proteins in the membrane: integrins. Some soft tissues, such as cardiac muscle, are anisotropic, a property which arises from the fibrous structure of the tissue. The degree of anisotropy in intra- and extracellular spaces can be different. Tissue indentation for different anisotropy ratios that indicate isotropy, equal anisotropy and unequal anisotropy, were tested using the model. Results of the tissue indentation analysis compared the spatial distribution of the magnitude of bidomain displacement for different anisotropy conditions between monodomain and bidomain models. The proposed mathematical model predicted unexpected spatial patterns of cardiac mechanotransduction for unequal anisotropy ratios of mechanical modulus. |
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| format | Article |
| id | doaj.art-28acb8bd68374dadb59191724218e03c |
| institution | Directory Open Access Journal |
| issn | 2079-6439 |
| language | English |
| last_indexed | 2024-03-09T09:57:03Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
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| spelling | doaj.art-28acb8bd68374dadb59191724218e03c2023-12-01T23:41:06ZengMDPI AGFibers2079-64392022-08-011086910.3390/fib10080069Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain ModelDilmini Wijesinghe0Bradley J. Roth1USC Mark and Mary Stevens Neuroimaging and Informatics Institute, Los Angeles, CA 90033, USADepartment of Physics, Oakland University, Rochester, MI 48309, USAComputation-based mathematical models of tissue indentation are capable of predicting the distribution of forces and mechanical properties of soft tissues. This paper presents a three-dimensional mathematical model of anisotropic tissue indentation developed using the mechanical bidomain model. The mechanical bidomain model hypothesizes that the relative displacement between intra- and extracellular spaces triggers a force on the mechanosensitive proteins in the membrane: integrins. Some soft tissues, such as cardiac muscle, are anisotropic, a property which arises from the fibrous structure of the tissue. The degree of anisotropy in intra- and extracellular spaces can be different. Tissue indentation for different anisotropy ratios that indicate isotropy, equal anisotropy and unequal anisotropy, were tested using the model. Results of the tissue indentation analysis compared the spatial distribution of the magnitude of bidomain displacement for different anisotropy conditions between monodomain and bidomain models. The proposed mathematical model predicted unexpected spatial patterns of cardiac mechanotransduction for unequal anisotropy ratios of mechanical modulus.https://www.mdpi.com/2079-6439/10/8/69cardiac tissuemechanotransductionthree-dimensional mathematical modelingtissue indentationanisotropy |
| spellingShingle | Dilmini Wijesinghe Bradley J. Roth Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model Fibers cardiac tissue mechanotransduction three-dimensional mathematical modeling tissue indentation anisotropy |
| title | Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model |
| title_full | Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model |
| title_fullStr | Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model |
| title_full_unstemmed | Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model |
| title_short | Indentation of Anisotropic Tissue Using a Three-Dimensional Mechanical Bidomain Model |
| title_sort | indentation of anisotropic tissue using a three dimensional mechanical bidomain model |
| topic | cardiac tissue mechanotransduction three-dimensional mathematical modeling tissue indentation anisotropy |
| url | https://www.mdpi.com/2079-6439/10/8/69 |
| work_keys_str_mv | AT dilminiwijesinghe indentationofanisotropictissueusingathreedimensionalmechanicalbidomainmodel AT bradleyjroth indentationofanisotropictissueusingathreedimensionalmechanicalbidomainmodel |