A note on stress-driven anisotropic diffusion and its role in active deformable media
We introduce a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to employ diffusion tensors directly influenced by the coupling with mechanical stress. The proposed genera...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2017
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| _version_ | 1826285522664816640 |
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| author | Cherubini, C Filippi, S Gizzi, A Ruiz-Baier, R |
| author_facet | Cherubini, C Filippi, S Gizzi, A Ruiz-Baier, R |
| author_sort | Cherubini, C |
| collection | OXFORD |
| description | We introduce a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to employ diffusion tensors directly influenced by the coupling with mechanical stress. The proposed generalised reaction-diffusion-mechanics model reveals that initially isotropic and homogeneous diffusion tensors turn into inhomogeneous and anisotropic quantities due to the intrinsic structure of the nonlinear coupling. We study the physical properties leading to these effects, and investigate mathematical conditions for its occurrence. Together, the mathematical model and the numerical results obtained using a mixed-primal finite element method, clearly support relevant consequences of stress-driven diffusion into anisotropy patterns, drifting, and conduction velocity of the resulting excitation waves. Our findings also indicate the applicability of this novel approach in the description of mechano-electric feedback in actively deforming bio-materials such as the cardiac tissue. |
| first_indexed | 2024-03-07T01:30:05Z |
| format | Journal article |
| id | oxford-uuid:934ef00d-73f6-4493-b703-d0690afa691e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:30:05Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:934ef00d-73f6-4493-b703-d0690afa691e2022-03-26T23:31:22ZA note on stress-driven anisotropic diffusion and its role in active deformable mediaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:934ef00d-73f6-4493-b703-d0690afa691eEnglishSymplectic Elements at OxfordElsevier2017Cherubini, CFilippi, SGizzi, ARuiz-Baier, RWe introduce a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to employ diffusion tensors directly influenced by the coupling with mechanical stress. The proposed generalised reaction-diffusion-mechanics model reveals that initially isotropic and homogeneous diffusion tensors turn into inhomogeneous and anisotropic quantities due to the intrinsic structure of the nonlinear coupling. We study the physical properties leading to these effects, and investigate mathematical conditions for its occurrence. Together, the mathematical model and the numerical results obtained using a mixed-primal finite element method, clearly support relevant consequences of stress-driven diffusion into anisotropy patterns, drifting, and conduction velocity of the resulting excitation waves. Our findings also indicate the applicability of this novel approach in the description of mechano-electric feedback in actively deforming bio-materials such as the cardiac tissue. |
| spellingShingle | Cherubini, C Filippi, S Gizzi, A Ruiz-Baier, R A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title | A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title_full | A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title_fullStr | A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title_full_unstemmed | A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title_short | A note on stress-driven anisotropic diffusion and its role in active deformable media |
| title_sort | note on stress driven anisotropic diffusion and its role in active deformable media |
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