On the Formation of Glass Microelectrodes
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-d...
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| Published in | SIAM journal on applied mathematics Vol. 67; no. 3; pp. 630 - 666 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Society for Industrial and Applied Mathematics
01.01.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0036-1399 1095-712X |
| DOI | 10.1137/050640722 |
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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. |
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| AbstractList | 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. |
| Author | Wylie, Jonathan J. Howell, Peter D. Huang, Huaxiong Miura, Robert M. |
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| CitedBy_id | crossref_primary_10_1063_5_0096725 crossref_primary_10_1109_JLT_2016_2628438 crossref_primary_10_1016_j_physd_2015_09_008 crossref_primary_10_1017_jfm_2016_11 crossref_primary_10_1017_jfm_2024_636 crossref_primary_10_1016_j_micron_2016_01_002 crossref_primary_10_1017_jfm_2011_259 crossref_primary_10_1017_jfm_2016_426 crossref_primary_10_1017_S002211200800147X crossref_primary_10_1017_jfm_2016_215 crossref_primary_10_1017_jfm_2020_727 |
| Cites_doi | 10.1023/A:1020328606157 10.1017/S0022112092003094 10.1016/S0301-9322(97)00016-5 10.1016/0377-0257(91)87026-T 10.1137/0149059 10.1007/BF00396509 10.1016/S0020-7462(96)00143-6 10.1109/TBME.2004.826607 10.1137/S0036139901393469 10.1016/0165-0270(82)90019-X 10.1109/50.971686 10.1017/S0022112088001454 10.1017/S0022112003006682 |
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| SubjectTerms | Applied mathematics Approximation Coordinate systems Design Dimensional analysis Electrodes Glass Heat transfer Heaters Inertia Interfacial tension Laboratories Lagrangian function Symmetry Viscosity |
| Title | On the Formation of Glass Microelectrodes |
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