A theoretical approach for activation of a pro-drug by its conjugate and its localization in cancer chemotherapy

We develop a two-step pharmacokinetic mathematical model for drug distribution in the case of a human body having a solid tumor. The concentration of a conjugate in micro-vessels and in tissue is considered in the form of different compartments. The model aims at studying bio-distribution, pharmacokinetics and conjugate permeability in the case of cancer chemotherapy. In earlier studies on this topic the chemical reactions (constructive or destructive) have not been considered. We include chemical reactions in the tissue concentration. The concentrations in micro vessels and the tumor are obtained using compartment analysis. The dosing of the conjugate may be by heavy injection, multiple injections or infusion.