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Doxorubicin treatment outcomes for non-Hodgkin's lymphomas (NHL) are mathematically modelled and computationally analyzed. The NHL model includes a tumor structure incorporating mature and immature vessels, vascular structural adaptation and NHL cell-cycle kinetics in addition to Doxorubicin pharmacokinetics (PK) and pharmacodynamics (PD). Simulations provide qualitative estimations of the effect of Doxorubicin on high-grade (HG), intermediate-grade (IG) and low-grade (LG) NHL. Simulation results imply that if the interval between successive drug applications is prolonged beyond a certain point, treatment will be inefficient due to effects caused by heterogeneous blood flow in the system.

Original publication




Journal article


Bull Math Biol

Publication Date





79 - 99


Cell Cycle, Cell Proliferation, Cell Survival, Computer Simulation, Doxorubicin, Humans, Kinetics, Lymphoma, Non-Hodgkin, Models, Theoretical, Regional Blood Flow, Time Factors, Treatment Outcome