On the formation of glass microelectrodes

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

11 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)630-666
Journal / PublicationSIAM Journal on Applied Mathematics
Volume67
Issue number3
Online published26 Feb 2007
Publication statusPublished - 2007

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Abstract

Glass microelectrodes are used widely in experimental studies of the electrophysiology of biological cells and their membranes. However, the pulling of these electrodes remains an art, based on trial and error. Following Huang et al. (SIAM J. Appl. Math., 63 (2003), pp. 1499-1519], we derive a one-dimensional model for the stretching of a hollow glass tube that is being radiatively heated. Our framework allows us to consider two commonly used puller designs, that is, horizontal (constant force) and vertical (variable force) pullers. We derive explicit solutions and use these solutions to identify the principal factors that control the final shape of the microelectrodes. The design implications for pullers also are discussed. © 2007 Society for Industrial and Applied Mathematics.

Research Area(s)

  • Free-boundary problem, Glass microelectrode, Heat transfer, Incompressible fluids, Long-wave approximation, Partial differential equations, Temperature-dependent viscosity

Citation Format(s)

On the formation of glass microelectrodes. / HUANG, Huaxiong; WYLIE, Jonathan J.; MIURA, Robert M. et al.
In: SIAM Journal on Applied Mathematics, Vol. 67, No. 3, 2007, p. 630-666.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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