Abstract:
A mathematical model of the pharmacokinetics of anticancer drugs is presented. The
model uses the biological tissue as a randomly inhomogeneous medium. Model is based
on reaction-diffusion equation system, coefficients of which are random functions of
space and time. The coefficients of the model are calculated based on the probability of
processes occurring in living tissue. Proposed approach is applied for two drugs: for
“Cisplatin”, which is used in cancer chemotherapy, and “Boron-phenylalanine”, which
was proposed as an agent, increasing the dose during irradiation. The model demonstrates a good agreement with experimental results. The described method of modeling of
pharmacokinetics of drugs can serve as universal approach for study of the space-time
distributions for many drugs, including those using nanoparticles. The simulation results
allow to propose optimization of the existing protocols for chemotherapeutic and radiological treatment.