2_5_09_CableTheory_1

2_5_09_CableTheory_1 - Outline of the Lecture Outline of...

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Unformatted text preview: Outline of the Lecture Outline of the Lecture Cable Theory for Axons and Dendrites Cable Theory for Axons and Dendrites Cable Equation Multi-compartment Model Cable Equation Multi-compartment Model Shunting Shunting Cable Theory Describes Cable Theory Describes Potential Propagation in Potential Propagation in Dendrites and Axons Dendrites and Axons Propagation in dendrites takes time and spreads potentials generated remotely. Equivalent-circuit models for action potentials are RC circuits with many conductances. r m c m r L Δx 2a Cable models use radii ( e.g. , a = 2 μ m), specific membrane resistances ( e.g. , r m = 1 MΩ mm ⋅ 2 ) and capacitances ( e.g. , c m = 10 nF mm ⋅-2 ), and intracellular resistivities ( e.g. , r L = 1 kΩ mm). ⋅ Cable Equation: τ m ¶ v ¶ t = l 2 ¶ 2 v ¶ x 2- v + r m i e With typical values (see Slide 5): τ m = r m c m = 1 0 m s λ = a r m 2 r L = 1 m m Three Examples of Solutions of the Cable Equation: 1.Infinite, Steady-State Cable with Current Injection at the Middle… The potential falls with distance from the injection point, since current escapes at various points of the neural cable....
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This note was uploaded on 06/08/2009 for the course BME 575L taught by Professor Grzywacz during the Spring '09 term at USC.

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2_5_09_CableTheory_1 - Outline of the Lecture Outline of...

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