Mathematical Modeling of Oxygen Transport, Cell Killing and Cell Decision Making in Photodynamic Therapy of Cancer

摘要: In this study we present a model of in vitro cell killing through type II Photodynamic Therapy (PDT) for simulation the molecular interactions leading to death time domain presence oxygen transport within spherical cell. By coupling kinetics develop modeling method PDT cytotoxicity caused by singlet and obtain survival ratio as function light fluence or initial photosensitizer concentration with different photon density irradiance incident other parameters transport. A systems biology is developed account detailed pathways induced treatment killing. We derive mathematical decision making binary fate scheme on during after employ rate distortion theory logical design proccess understand biochemical processing information Rate also used dependent Blahut-Arimoto algorithm three variables where input stimulus vector composed concentrations signaling molecules output reflects decision. The involved processes are determined group equations which produce probability strategy allows quantitative assessment multiple coefficients can be modified heterogeneous response therapeutic agents. numerical results show that yields powerful tool quantify various underlying at cellular levels interpret experimental studies. Finally following an alternative approach modeled predator - prey equation predators survival. two models compared each well directly measured ratios optimization gain insights studies PDT.