In a passive dendritic tree, inhibitory synaptic inputs activating ionic conductances with an equilibrium potential near the resting potential can effectively veto excitatory inputs. Analog interactions of this type can be very powerful if the inputs are appropriately timed and occur at certain locations. We examine with computer simulations the precise conditions required for strong and specific interactions in the case of a 8-like ganglion cell of the cat retina. We find some critical conditions to be that (i) the peak inhibitory conductance changes must be sufficiently large (i.e., ==50 nS or more), (ii) inhibition must be on the direct path from the location of excitation to the soma, and (iii) the time course of excitation and inhibition must substantially overlap. Analog AND-NOT operations realized by satisfying these conditions may underlie direction selectivity in ganglion cells.When two neighboring regions of a dendritic tree experience simultaneous conductance changes-induced by synaptic inputs-the resulting postsynaptic potential at the soma is usually not the sum of the potentials generated by each synapse alone. Even though the existence of such nonlinear interactions in a passive dendritic tree has been long recognized, both theoretically and experimentally (1)(2)(3)(4), it has been customary to assume linear summation of excitatory and inhibitory inputs on the dendrites and to regard the threshold associated with spike generation at the axon hillock as performing the elementary logical operations in the nervous system. It is, however, possible that synapses situated close to each other on the dendrite of a cell may interact in a highly nonlinear way. For Nonlinear synaptic interactions were found to be maximal for y and 8 cells and relatively weaker for a and ( cells. On the basis of this analysis, we conjectured that cells with a 8-like morphology are the substratum for directional selectivity in the retina. In this note, we wish to show the main properties and critical features of the interaction between transient synaptic inputs for the a cell shown in Fig. la, whose geometry was measured from histological (Golgi) material of Boycott and Wassle (11). The main result consists of a set of critical predictions about direction-selective ganglion cells and the organization and properties of their synaptic input.The branching structure, the length, and the diameters of each dendritic segment were determined as described (10, 12). The dendritic tree was approximated by short segments, each being equivalent to a cylinder. A program using Butz and Cowan's algorithm (13) was used to compute from these data (for a range of values of the membrane capacity Cm, membrane resistance Rm, and intracellular resistance R) the linear electrical properties of the cell. We assumed the dendritic membrane to be passive and the spread of current along dendrites to be adequately described by linear cable theory. In the program, the complex transfer resistances K,(w) for any two locations ij in the dendritic tr...