Based on a previously developed theory of dysregulative lymphoma pathogenesis, an advanced mathematical model was developed for simulation of thymic T cell populations and their differentiation stages. The model subsequently was tested in comparison to thymic changes in mice with Moloneyvirus infection and leukemia development. Numerical examples are given, which suggest that the model is useful to study T cell proliferation, differentiation, and may probably also be useful to simulate T cell changes in various lymphoproliferative diseases.