A Fractional Order Model for Local Electric Fields in Tissues

Mehedi Hasan, Corina Drapaca

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

2 Scopus citations

Abstract

In recent years, electro-chemotherapy and gene electro-transfer have emerged as promising cancer therapies that use locally applied electric fields to facilitate the transport of chemotherapeutic drugs into tumor cells or genes into target cells based on the cell membrane electroporation. It is well known that the local electric field in the tissue depends on the applied voltage on the electrodes, the geometry and position of the electrodes, and on the heterogeneity and geometry of the tissue. So far, the local electric field distribution in tissues was found by solving the classic Laplace equation. However, tissues and tumors have evolving microstructures which affect the distribution of the applied electric field. Inspired by the successful application of fractional order constitutive models of tissues, in our exploratory study we propose a fractional calculus based approach to model the electric field and potential distribution in tissues. The resulting fractional differential equation of Laplace type is solved analytically. Our preliminary results on the local electric field distribution might help to find electrode configurations for optimal treatment outcome.

Original languageEnglish (US)
Title of host publicationChallenges in Mechanics of Time-Dependent Materials - Proceedings of the 2014 Annual Conference on Experimental and Applied Mechanics
PublisherSpringer New York LLC
Pages75-79
Number of pages5
EditionVOLUME 2
ISBN (Print)9783319069791
DOIs
StatePublished - Jan 1 2015
Event2014 Annual Conference and Exposition on Experimental and Applied Mechanics, SEM 2014 - Greenville, SC, United States
Duration: Jun 2 2014Jun 5 2014

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
NumberVOLUME 2
Volume63
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Other

Other2014 Annual Conference and Exposition on Experimental and Applied Mechanics, SEM 2014
CountryUnited States
CityGreenville, SC
Period6/2/146/5/14

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Computational Mechanics
  • Mechanical Engineering

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    Hasan, M., & Drapaca, C. (2015). A Fractional Order Model for Local Electric Fields in Tissues. In Challenges in Mechanics of Time-Dependent Materials - Proceedings of the 2014 Annual Conference on Experimental and Applied Mechanics (VOLUME 2 ed., pp. 75-79). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 63, No. VOLUME 2). Springer New York LLC. https://doi.org/10.1007/978-3-319-06974-6_11