Cyber-physical modeling of implantable devices for interstitial therapeutic systems

Abstract

In this paper, we propose a cyber-physical modeling framework that allows a planner to optimally position implantable medical devices in therapeutic systems that take place interstitially. To inspire a model, we use applications such as interstitial photodynamic therapy and brachytherapy, and frame the problem as constrained packing of cylindrical objects with spatial and angular feasibility conditions. An approach combines anatomical geometry, device orientation restrictions, and tissue-specific feasibility to create an optimization model that is composed into one model. The proposed modeling framework allows a planner to plan device configurations that temporally maximize therapeutic coverage for the targeted anatomy while minimizing the risk of overlap, thermal injury, and mechanical interference by employing incremental sequential algorithms. Numerical simulations will demonstrate the model's ability to support increased precision of treatment and geometry-aware clinical decisions.