Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points

Benjamin L. Schwartz, Rosalind Sadleir

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The recently increasing role in medical imaging that electrophysiology plays has spurned the need for its quantitative analysis at all scales-ions, cells, tissues, organs, etc.; so, here is presented a model of nerve tissue in a spherical volume excited by a point current source at one pole and a point current sink at the opposite pole. The sphere of tissue is described as an isotropic bidomain, consisting of the intra- and extra-cellular regions and the membrane that separates them, and is immersed in an infinite isotropic conductive bath. The system of coupled differential equations is solved by redefining the domains to be in terms of a monodomain and a membrane. The solution takes the form of an infinite sum of the product of certain transcendental functions. The study concludes with a numeric example in which the boundary conditions are shown to be satisfied, validating this analysis, paving the way for more sophisticated models of excitable tissue.

Original languageEnglish (US)
Title of host publicationProceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2299-2302
Number of pages4
Volume2015-November
ISBN (Print)9781424492718
DOIs
StatePublished - Nov 4 2015
Event37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2015 - Milan, Italy
Duration: Aug 25 2015Aug 29 2015

Other

Other37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2015
CountryItaly
CityMilan
Period8/25/158/29/15

Fingerprint

Tissue
Nerve Tissue
Poles
Membranes
Electrophysiology
Diagnostic Imaging
Baths
Medical imaging
Ions
Differential equations
Boundary conditions
Chemical analysis

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Signal Processing
  • Biomedical Engineering
  • Health Informatics

Cite this

Schwartz, B. L., & Sadleir, R. (2015). Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points. In Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (Vol. 2015-November, pp. 2299-2302). [7318852] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/EMBC.2015.7318852

Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points. / Schwartz, Benjamin L.; Sadleir, Rosalind.

Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS. Vol. 2015-November Institute of Electrical and Electronics Engineers Inc., 2015. p. 2299-2302 7318852.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Schwartz, BL & Sadleir, R 2015, Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points. in Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS. vol. 2015-November, 7318852, Institute of Electrical and Electronics Engineers Inc., pp. 2299-2302, 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2015, Milan, Italy, 8/25/15. https://doi.org/10.1109/EMBC.2015.7318852
Schwartz BL, Sadleir R. Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points. In Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS. Vol. 2015-November. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2299-2302. 7318852 https://doi.org/10.1109/EMBC.2015.7318852
Schwartz, Benjamin L. ; Sadleir, Rosalind. / Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points. Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS. Vol. 2015-November Institute of Electrical and Electronics Engineers Inc., 2015. pp. 2299-2302
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