Conventionally, polymeric actin filaments and tubulin microtubules act as tracks that molecular motors such as myosin and kinesin run on. In fact, the assembly or disassembly of the microtubules or microfilaments themselves may be able to cause motion. In this talk I will present some of the math behind the simulations that I have been creating over the last quarter. I will also talk about where my research is headed next.