Show simple item record

dc.contributor.authorJohnston, Peter R
dc.contributor.editorGary S. Grest, Margaret Malloy
dc.date.accessioned2017-05-03T13:56:27Z
dc.date.available2017-05-03T13:56:27Z
dc.date.issued2008
dc.date.modified2009-12-02T22:02:19Z
dc.identifier.issn1539-3755
dc.identifier.doi10.1103/PhysRevE.78.041904
dc.identifier.urihttp://hdl.handle.net/10072/22496
dc.description.abstractThe simulation of problems in electrocardiography using the bidomain model for cardiac tissue often creates issues with satisfaction of the boundary conditions required to obtain a solution. Recent studies have proposed approximate methods for solving such problems by satisfying the boundary conditions only approximately. This paper presents an analysis of their approximations using a similar method, but one which ensures that the boundary conditions are satisfied during the whole solution process. Also considered are additional functional forms, used in the approximate solutions, which are more appropriate to specific boundary conditions. The analysis shows that the approximations introduced by Patel and Roth [Phys. Rev. E 72, 051931 (2005)] generally give accurate results. However, there are certain situations where functional forms based on the geometry of the problem under consideration can give improved approximations. It is also demonstrated that the recent methods are equivalent to different approaches to solving the same problems introduced 20 years earlier.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent174764 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.publisher.urihttp://pre.aps.org/
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom041904-1
dc.relation.ispartofpageto0419104-10
dc.relation.ispartofissue4
dc.relation.ispartofjournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
dc.relation.ispartofvolume78
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchBiological mathematics
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode490102
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode40
dc.titleApproximate solutions for certain bidomain problems in electrocardiography
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.rights.copyright© 2008 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2008
gro.hasfulltextFull Text
gro.griffith.authorJohnston, Peter R.


Files in this item

This item appears in the following Collection(s)

  • Journal articles
    Contains articles published by Griffith authors in scholarly journals.

Show simple item record