Uncertainty in 1D and 3D models of a fiber stimulated by an external electrode


Conference Paper

© Springer International Publishing Switzerland 2016. One-dimensional (1D) cable model is used to study electrical excitation of nerves and muscle fibers, and to aid in the design of electrical therapies. However, approximations inherent in the cable model limit its validity. More realistic three-dimensional (3D) fiber models have been advocated but they require long computational times. This study investigates whether better accuracy of 3D models is worth the cost by computing the probability p that the difference between outputs from 3D and 1D models could have arisen from uncertainties in parameter values. The results are summarized in contour maps of probability p in the space of fiber-electrode distances and stimulus durations. The cable model is considered valid where p > 0.05. This region of validity depends on uncertainties in the parameters. In particular, the uncertainties must exceed 0.05 (0.02) of the nominal parameter values for the cable model to be valid in the regions where retinal (cochlear) implants operate.

Full Text

Duke Authors

Cited Authors

  • Neu, WK

Published Date

  • January 1, 2016

Published In

Volume / Issue

  • 9656 /

Start / End Page

  • 219 - 229

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

International Standard Book Number 13 (ISBN-13)

  • 9783319317434

Digital Object Identifier (DOI)

  • 10.1007/978-3-319-31744-1_20

Citation Source

  • Scopus