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The cable equation is a second order, parabolic, partial differentialequation that describes the evolution of voltage in the dendrite of a neuron.Here we look at the various ways in which lambda(space constant/ variable spaceconstant/length parameter) is calculated in the cases of linear, passivetransmission as well as nonlinear active transmission. Changes in morphologyare taken into account by including the case of tapering dendrite, brancheddendrites, branched dendrites with taper or flare. The case of variablemembrane resistance and the relationship between input resistance and spaceconstant is explored. Finally the reaction diffusion equation governing thediffusion of calcium in dendrites and space constant associated with that isdescribed.

Exploring the notion of space constant under different geometric and physical conditions