condition size variable wolfram mathematica plot

TSE and related concepts can be used to predict tumor shrinkage and eradication, and have the potential to guide new experiments and support translations from animals to humans. The new model is capable of describing different tumor dynamics including tumor eradication and tumor regrowth with different rates, and can be calibrated using data from standard xenograft experiments. Finally, we discuss the translational potential of the model and TSE concept to humans. TSE is also explored via a heat map of different growth and shrinkage rates. Using TSE, we predict the total radiation dose necessary for tumor eradication to be 110 Gy, which is reduced to 80 or 30 Gy with co-administration of 25 or 100 mg kg⁻¹ of a radiosensitizer. The model is able to adequately describe data from all treatment groups, with the parameter estimates taking biologically reasonable values. We use the calibrated model to predict exposure combinations that result in tumor eradication using Tumor Static Exposure (TSE). We challenge the model with data from a xenograft study using a clinically relevant administration schedule and use a mixed-effects approach for model-fitting.

The model also describes long-term treatment effects including tumor regrowth and eradication. We develop a quantitative model that describes tumor growth during and after treatment with radiation and radiosensitizing agents. Radiation therapy, whether given alone or in combination with chemical agents, is one of the cornerstones of oncology.

Condition size variable wolfram mathematica plot