Paramecium is a unicellular organism that swims in fresh water using cilia. When it is stimulated (mechanically, chemically, optically, thermally, etc), it often swims backward then turns and swims forward again: this is called the avoiding reaction. This reaction is triggered by a calcium-based action potential. For this reason, it enjoyed a period of glory in the 1970s as a model organism for neuroscience. I will describe the behavior and electrophysiology of this “swimming neuron”, then I will present our ongoing attempts at developing an integrative quantitative model of Paramecium.