Mathematical Modeling of Tumor Growth Changes during Combination of Chemotherapy and Radiation Therapy Treatment

Combination therapies are widely used in the treatment of patients with cancer. The main rationale to combine anticancer therapies in the clinic is to obtain a better response with reduced adverse effects. Here i present a pharmacokinetic/pharmacodynamic (PK/PD) model with a smooth nonlinear growth function to characterize and quantify anticancer effect of combination of chemotherapy and radiation therapies using time-dependent data. Based on such a transit two compartment model, Logistic growth Law has proposed a semi-mechanistic pharmacokinetic/ pharmacodynamic (PK/PD) model to assess the antitumor effect. This model describes mathematically the impact of anticancer treatment on the dynamics of tumor growth. From the simulation results of combination of Chemotherapy and Radiation therapy treatment it is observed that, this model will provide better performance than those treatments applied individually.