This note describes a simple model developed to explore some of the properties of the pulse-line ion accelerator, here represented as a series of lumped elements, in the general parameter regime for the 'NDCX-1d' experiments. The goals of this modeling are: to understand the evolution of various possible input pulses in the presence of dispersive effects and imperfect termination of the line; to examine scenarios for beam acceleration; and to explore the effects of 'beam loading', that is, changes to the voltages along the helical line that result from the interaction of the beam's return current with the 'circuitry' of that line. In Section 1 below, the model is described and the method of solution outlined; in Section 2, a low-current example of beam acceleration is presented; in Section 3, runs are presented showing the development of beam loading-induced voltages as model pulses are followed; in section 4, the modeling of a higher-current beam under acceleration is presented, and the effects of beam loading quantified; and in section 5, a brief summary of complementary efforts and of plans to extend the modeling is presented.