Many applications in biomedical engineering andsurgical simulators require effective modeling methodsfor dynamic interactive simulations. Due to its highcomputation time, the standard Finite Element Method(FEM) cannot be used in such cases. A FEM-basedmethod is first presented, which rely on thedecomposition of the deformation of each element intoa rigid motion and a pure deformation, and a fastimplicit dynamic integration without assembling a globalstiffness matrix. A second physically-based discrete method is also proposed,derived from computer graphics modeling. These methods are finallycompared, in terms of accuracy and speed, to theoretical problems, FEMresults and experimental data.