| Name: | Matrix Methods for Electrical Systems |
| ID: | m10145 |
| Language: | English (en) |
| Summary: | This module introduces matrix algebra as a tool for solving multivariable problems. Setting up a model for a nerve cell, we use matrices to simply express the electrical properties of the nerve cell, and utilize matrix algebra to solve for the potential differences across nodes and axial and membrane current. By working several examples, we also introduce and reinforce a general problem modeling methodology, and demonstrate the usefulness of matrix algebra for realizing a solution to these problems. |
| Subject: | Mathematics and Statistics, Science and Technology |
| Keywords: | adjacency matrix, axial current, exogeneous disturbance, kcl, Kirchhoff's Current Law, membrane current, Nernst potentials, nerve fiber, Ohm's Law, Strang Quartet |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Doug Daniels (ddaniels888@gmail.com) |
| Copyright Holders: | Doug Daniels (ddaniels888@gmail.com) |
| Maintainers: | Doug Daniels (ddaniels888@gmail.com), Brent Hendricks (brentmh@rice.edu) |
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| Version: | 2.7 (history) |
| Created: | Jun 27, 2001 12:00 am GMT-5 |
| Revised: | Sep 8, 2004 5:03 pm GMT-5 |
| Version: | 2.7 Sep 8, 2004 5:03 pm GMT-5 by Charlet Reedstrom |
| Changes: | fixed typos, added math to inline variable, removed hardcoded numbers in name tags, added bibliography and removed reference note, Still cnxn that needs adding |
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| Version: | 2.6 Aug 10, 2004 9:06 am GMT-5 by Elizabeth Gregory |
| Changes: | Updated to CNXML 0.5 |
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| Version: | 2.5 Dec 17, 2001 12:00 am US/Central by (Unknown) |
| Changes: | fixed typos and subscripts |
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| Version: | 2.4 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | trying to get images |
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| Version: | 2.3 Aug 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added brent as maintainer |
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| Version: | 2.2 Aug 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed a math display error |
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| Version: | 2.1 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Created new module. |
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| Version: | 2.0 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10145 |
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Daniels, D. Matrix Methods for Electrical Systems, Connexions Web site. http://cnx.org/content/m10145/2.7/, Sep 8, 2004.
Daniels D. Matrix Methods for Electrical Systems [Connexions Web site]. September 8, 2004. Available at: http://cnx.org/content/m10145/2.7/.
Daniels, D. (2004, September 8). Matrix Methods for Electrical Systems. Retrieved from the Connexions Web site: http://cnx.org/content/m10145/2.7/
Daniels, Doug. "Matrix Methods for Electrical Systems." Connexions. September 8, 2004. http://cnx.org/content/m10145/2.7/.
Doug Daniels, "Matrix Methods for Electrical Systems," Connexions, September 8, 2004, http://cnx.org/content/m10145/2.7/.
Daniels, D. 2004. Matrix Methods for Electrical Systems. Connexions, September 8, 2004. http://cnx.org/content/m10145/2.7/.
Daniels, Doug. Matrix Methods for Electrical Systems. Connexions. 8 Sep. 2004 <http://cnx.org/content/m10145/2.7/>.