In neuroscience, classical cable theory uses mathematical models to calculate the electric current (and accompanying voltage) along passive [a] neurites. History · Deriving the cable equation · Length constant |
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1 Derivation of the Cable Equation. Consider a piece of dendrite decomposed into short cylindric segments of length d x {\text{d}}x each. The schematic ... |
The cable equation is a mathematical equation derived from a circuit model of the membrane and its intracellular and extracellular space |
Figure 6: Cable diagram. RL = rL ∆x π a2 where rL is the specific resistance in [Ωmm]. |
To derive a linear cable equation, it will be assumed that gm is a constant, linear resistance equal to the resting conductance of the membrane. |
The. Cable Equation measures action potentials in axons in a mammalian brain treated as an ideal cable in the first part of the study. We shall subject this ... |
We will derive conditions for block using the cable equation. – p. 23 ... and from the chain rule of derivation: Z x1 x0 f(V (x))Vxdx = Z. V (x1). V (x0). |
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