A Mathematical Framework for Enhanced Cancer Eradication Using DNBT-CureX Nanocomplex: Integrating Nanotechnology, siRNA, and STING Agonists with Advanced Modeling

This conceptual paper presents a rigorous mathematical framework for DNBT-CureX, a hypothetical nanocomplex designed to achieve asymptotic tumor extinction incancer by integrating doxorubicin, siRNA, and STING agonists within a nanoparticledelivery system. Drawing from pharmacodynamics, pharmacokinetics, gene expressiondynamics, and immuno-oncology, the model employs a system of ordinary differen-tial equations (ODEs) to describe drug distribution, release, cellular interactions, andtumor eradication. Enhancements include detailed toxicity modeling for healthy cells,drug resistance dynamics mitigated by siRNA, nanoparticle clearance by the reticuloen-dothelial system (RES), detailed modeling of cancer stem cells (CSCs) with expandeddynamics including quiescence and niche interactions, refined immune response mod-eling with expanded details on specific immune cells (e.g., macrophages Mϕ, NK cellsNK, dendritic cells DC, CD4+ helper T cells T h, CD8+ cytotoxic T cells T c, andB cells B for antibody production), specific adaptations for immunity in solid tumorswith hypoxia-induced suppression, modeling of hematological tumors, and a section forbrain tumors considering the blood-brain barrier (BBB) and glioma-specific dynamics.We derive analytical approximations, perform numerical simulations using Python, andincorporate sensitivity analysis, quantitative statistics, Bayesian inference, uncertaintyquantification, and falsifiability assessments. Supported by real-world data analogiesfrom literature and reproducible code, the framework demonstrates asymptotic tumorextinction under optimized parameters while preserving healthy tissue. While theoreti-cal, this model provides a blueprint for future empirical validation in nanomedicine andprecision oncology.