A multidimensional biofilm model is developed to simulate biofilm growth on the anode of a Microbial Fuel Cell (MFC). The biofilm is treated as a conductive material, and electrons produced during microbial growth are assumed to be transferred to the anode through a conductive biofilm matrix. Growth of Geobacter sulfurreducens is simulated using the Nernst-Monod kinetic model that was previously developed and later validated in experiments. By implementing a conduction-based biofilm model in two dimensions, we are able to explore the impact of anode density and arrangement on current production in a MFC.