A Note on Periodic Drug Infusion for Treatment of Tumor: Sensitivity Analysis | Bentham Science

摘要

Background: Various mathematical models have been proposed for studying the growthof tumor cells under chemotherapeutic drug administration. In most of the deterministic models, thedrug is administered as per the rate equation of time.Objective: In this paper we have studied the behavior of a predator-prey model when the drug infusionrate is governed by a sinusoidal function.Method: A logistic growth model, to study the response of tumor growth to chemotherapeutic drugdosage is considered. The model has been suitably modified to introduce periodic drug infusion ratewhich is a sinusoidal function. In this paper, an extensive sensitivity analysis on the parameters, tumorcells division rate, cell kill rate, rate at which the drug becomes ineffective and the drug decayrate has been carried out to determine how these parameters affect the growth of the tumor and howthe drug accumulates in the body.Results: 1000 sets of these four parameters were randomly chosen from appropriate Gamma distributionsand corresponding curves for the number of tumor cells and average drug accumulationhave been obtained. A comparative study of drug administration at a constant rate and at a periodicrate has been done. Effect of changes in the parameters governing the drug infusion rate have beenanalyzed and how the parameters used in the model relate to pharmacokinetics and pharmacodynamicsof a drug has been pointed out.Conclusion: We have been able to show that controlled periodic drug infusion is a better strategythan administering the drug of a constant rate.