A Planning Algorithm for Correction Therapies After Allogeneic Stem Cell Transplantation

In this paper we continue the investigation of a basic mathematical model describing the dynamics of three cell lines after allogeneic stem cell transplantation: normal host cells, leukemic host cells and donor cells, whose evolution ultimately lead either to the normal hematopoietic state achieved by the expansion of the donor cells and the elimination of the host cells, or to the leukemic hematopoietic state characterized by the proliferation of the cancer line and the suppression of the other cell lines. A theoretical basis for the control of post‐transplant evolution is provided. We describe several scenarios of change of system parameters by which a bad post‐transplant evolution can be corrected and turned into a good one and we propose therapy planning algorithms for guiding the correction treatment.