Abstract
A mathematical model of the pharmacokinetics of anticancer drugs, which presents a biological tissue as a randomly inhomogeneous medium, is proposed. The model is based on a system of reaction-diffusion equations in which the coefficients are random functions of space and time. The coefficients of the model are calculated based on the probability of processes occurring in living tissue. Examples of the application of the proposed approach on two drugs are shown: cisplatin, which is used in cancer chemotherapy, and boron-phenylalanine, which is proposed as an agent (drug) that increases the dose during irradiation. The model demonstrates good agreement with the experimental results. The described method for modeling the pharmacokinetics of drugs can serve as a universal approach for modeling the spatiotemporal distribution of many drugs, including those using nanoparticles. The simulation results allow us to propose the optimization of the existing protocols for chemotherapeutic and radiological treatment.
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Ginevsky, A.F., Ginevsky, D.A. & Izhevsky, P.V. Numerical Modeling of the Spatiotemporal Distribution of a Drug Agent in a Biological Tissue. Math Models Comput Simul 14, 442–451 (2022). https://doi.org/10.1134/S207004822203005X
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DOI: https://doi.org/10.1134/S207004822203005X