Topological model for energy transmission through cells in a cuvette

Summary form only given as follows. Simulating a cell's response to applied pulsed electromagnetic fields is difficult because of the great variations of the dimensions involved in the mesh generation process. The membrane thickness is in the nanometer range as compared to the cell dimension which is in microns. For successful simulation the number of mesh points and consequently the computational time is large since the mesh generated must conform to the lowest dimensions (sub-nanometer). Further, the simulations become more difficult and complex when a large number of cells are involved, such as those in a cuvette solution between two electrodes for pulsed application studies. In this presentation we discuss an alternative simulation method based on the electromagnetic topology (EMT) technique. This method integrates the multi-conductor transmission line network (MTLN) simulations (with experimental data at any junctions, if available) in a piecewise fashion. As a result the analysis of a system that has complex interaction paths, just like the number of cells suspended in a solution between electrodes can be performed easily. Here the given system is decomposed into manageable sizes of sub-volumes where each sub-volume is modeled by having hierarchical levels of electromagnetic shielding, determined by interactions through preferred paths. Finally, these interaction paths are integrated into a solution which produces very reasonable results. We demonstrate that the EMT method is also applicable in the microscopic regime.