Derivation of the bidomain equations for a beating heart with a general microstructure
A novel multiple scales method is formulated that can be applied to problems which have an almost periodic microstructure not in Cartesian coordinates but in a general curvilinear coordinate system. The method is applied to a model of the electrical activity of cardiac myocytes and used to derive a...
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| Format: | Journal article |
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2013
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| _version_ | 1826260192142032896 |
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| author | Chapman, S |
| author_facet | Chapman, S |
| author_sort | Chapman, S |
| collection | OXFORD |
| description | A novel multiple scales method is formulated that can be applied to problems which have an almost periodic microstructure not in Cartesian coordinates but in a general curvilinear coordinate system. The method is applied to a model of the electrical activity of cardiac myocytes and used to derive a version of the bidomain equations describing the macroscopic electrical activity of cardiac tissue. The treatment systematically accounts for the non-uniform orientation of the cells within the tissue and for deformations of the tissue occurring as a result of the heart beat. |
| first_indexed | 2024-03-06T19:01:44Z |
| format | Journal article |
| id | oxford-uuid:13c4fc69-009d-4d40-af0c-2e3475a5bf2c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:01:44Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:13c4fc69-009d-4d40-af0c-2e3475a5bf2c2022-03-26T10:15:46ZDerivation of the bidomain equations for a beating heart with a general microstructureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:13c4fc69-009d-4d40-af0c-2e3475a5bf2cMathematical Institute - ePrints2013Chapman, SA novel multiple scales method is formulated that can be applied to problems which have an almost periodic microstructure not in Cartesian coordinates but in a general curvilinear coordinate system. The method is applied to a model of the electrical activity of cardiac myocytes and used to derive a version of the bidomain equations describing the macroscopic electrical activity of cardiac tissue. The treatment systematically accounts for the non-uniform orientation of the cells within the tissue and for deformations of the tissue occurring as a result of the heart beat. |
| spellingShingle | Chapman, S Derivation of the bidomain equations for a beating heart with a general microstructure |
| title | Derivation of the bidomain equations for a beating heart with a general microstructure |
| title_full | Derivation of the bidomain equations for a beating heart with a general microstructure |
| title_fullStr | Derivation of the bidomain equations for a beating heart with a general microstructure |
| title_full_unstemmed | Derivation of the bidomain equations for a beating heart with a general microstructure |
| title_short | Derivation of the bidomain equations for a beating heart with a general microstructure |
| title_sort | derivation of the bidomain equations for a beating heart with a general microstructure |
| work_keys_str_mv | AT chapmans derivationofthebidomainequationsforabeatingheartwithageneralmicrostructure |