Computer simulation of hyperthermia with nanoparticles using an OcTree finite volume technique

This paper develops an efficient finite volume approach using OcTree mesh for simulation of hyperthermia treatment by injection of nanoparticles. A three-dimensional nonlinear Pennes' model is employed to simulate the heat transfer in a heterogeneous blood perfused living tissue. The OcTree mesh is a good compromise between regular grid from finite difference method and unstructured meshes from finite element method due to the possibility of applying local refinement using a nonconforming mesh in a straightforward manner. Implicit time marching scheme coupled with the Picard method and explicit method are used. A numerical example is analyzed, illustrating the advantages of the approach.