Table 1.
Table of symbols
| V | Transmembrane voltage (relative to resting potential) | mV |
| d | Diameter of the dendritic cylinder | cm |
| ℓ | Length of the dendritic cylinder | cm |
| x | Physical distance from the origin (usually the soma) | cm |
| Gm(x) | Specific membrane conductance | S/cm2 |
| G̅m = 1/ℓ ∫0ℓGm(x)dx | Average membrane conductance | S/cm2 |
| γm(x) = Gm(x)/ G̅m | Dimensionless membrane conductance | Dimensionless |
| Rm(x) | Specific membrane resistance | Ωcm2 |
| Ri | Specific cytoplasm resistivity | Ωcm |
| ri = 4Ri/(πd2) | Internal resistance per unit length of cylinder | Ω/cm |
| Cm | Specific membrane capacitance | F /cm2 |
| α | Slope parameter (−1 ≤ α ≤ 1) | Dimensionless |
λ(x) =
 | Space constant (nonuniform case) | cm |
λu =
 | Space constant (uniform case) | cm |
| L = ∫0ℓ dx/λ(x) | Generalized electrotonic length | Dimensionless |
| Lu = ℓ/λu | Electrotonic length (uniform case) | Dimensionless |
| Xu = x/λu | Distance from location x to origin, in units of the uniform space constant | Dimensionless |
| Rin(x) | Input resistance at location x | Ω |
| Gin(x) = 1/Rin(x) | Input conductance at location x | S |
| Rx,y | Transfer resistance from location x to location y | Ω |
| Ia | Axial current | A |
G∞u = (π/2)
 | Input conductance of a semi-infinite uniform cylinder | S |
| GL | Axial leak conductance at boundary | S |
| B = GL/G∞u | Boundary condition | Dimensionless |
| τm(x) = Cm/Gm(x) | Local membrane time constant | sec |
| τmu = Cm/ G̅m | Membrane time constant (uniform case) | sec |
| τnu, τns | n -th equalizing time constant (uniform and slope case, respectively) | sec |
| δ(x), δ(t ) | Delta function | |
| 𝒢 (x, y, t) | Green function | |
| gsyn | Synaptic conductance | S |
| Esyn | Synaptic reversal potential | mV |