… In Rall's modeling, the electrotonic length of the dendritic tree has been in the range from
L=1 to L=2, and distal dendritic synapses have been shown to be effective (Rall et al., 1967). …

The development of a mathematical model of dendritic neurons was begun because of a
need to combine three different kinds of knowledge into a coherent theory. First, we have the …

… passive neuronal models have outlived … models provide reference cases that we believe
are essential to the interpretation of more elaborate (and presumably more realistic) models …

Mathematical solutions and numerical illustrations are presented for the steady-state distribution
of membrane potential in an extensively branched neuron model, when steady electric …

… Segev, to choose dendritic modeling as his research field. Rall’s modeling results, and the
… Rall's models of spines also inspired recent sophisticated studies, using advanced optical …

… in a branched dendritic neuron model. The theoretical model assumes passive membrane
… peak as it spreads throughout the neuron model. In contrast to the severe attenuation of …

… a Rall model. It seems reasonable to assume the soma to be isopotential, and therefore the
voltage variables vFN (as in the FitzHugh– Nagumo system) and vR (as in the Rall model) to …

… model a particular biological neuron whose anatomy and physiology are known in considerable
experimental detail. In such cases, we may choose to specify a model … network modeling…

… ical models of dendrites. The theory behind these models is discussed in Chapter 13 in this
volume. Here I provide an historical perspective of the development of such models, paying …

… of this electric model. FIGURE 2 illustrates the version of this model we shall use today; it
represents a slight generalization of the following partioulir models: The model of Fatt and Katz (…