2013/01/05 by Asha Gopinathan, Gopinathan, Asha
Biochemistry, Genetics and Molecular Biology · Neuroscience · Physics and Astronomy · #Lipid Membrane Structure and Behavior #Neural dynamics and brain function #q-bio.NC #q-bio.QM #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1301.0889
39 pages, 1 figure changed title, changed one key word
arxiv created 2013/09/09 · arxiv updated 2013/09/10
The cable equation is a second order, parabolic, partial differential equation 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 space constant/length parameter) is calculated in the cases of linear, passive transmission as well as nonlinear active transmission. Changes in morphology are taken into account by including the case of tapering dendrite, branched dendrites, branched dendrites with taper or flare. The case of variable membrane resistance and the relationship between input resistance and space constant is explored. Finally the reaction diffusion equation governing the diffusion of calcium in dendrites and space constant associated with that is described.