SOFT TOPOLOGICAL FRAMEWORK FOR RISK-AWARE DRUG DELIVERY MODELING IN BREAST CANCER WITH PHARMACOKINETIC APPLICATIONS

Abstract

Breast cancer treatment requires precise drug delivery strategies due to variability in patient response, pharmacokinetics, and chemical toxicity. Managing these challenges involves uncertainty in dosage optimization and risk minimization. This study proposes a risk-sensitive drug delivery model based on soft topology, an extension of soft set theory, to address such complexities in decision-making.The model integrates key pharmacokinetic parameters, including absorption, distribution, metabolism, elimination, and toxicity thresholds, within a soft topological framework. By utilizing soft open sets, it enables the evaluation and selection of optimal treatment strategies under uncertain clinical conditions. The proposed approach effectively balances therapeutic efficacy with chemical health risks, particularly drug-induced toxicity.Comparative analysis shows that the soft topology–based model offers improved flexibility and accuracy over traditional methods. The results demonstrate its potential as a reliable decision-support tool for optimizing breast cancer drug delivery while minimizing associated health risks.