[Approximate methods for calculating the probability of radiation complications. The PKLQ method]

Area of Science:

• Radiation oncology
• Mathematical modeling
• Radiobiology

Context:

• Assessing treatment efficacy in oncology requires accurate prediction of lesion response.
• Mathematical models offer a quantitative approach to understanding complex biological processes like tumor resorption.
• The heterogeneity of cell populations within a lesion, including radio-sensitive and radio-resistant cells, influences treatment outcomes.

Purpose:

• To describe a novel method for the approximate calculation of lesion focus resorption probability.
• To introduce and evaluate three mathematical models: Poisson, Klepper, and LQ-model (PKLQ method).
• To establish a procedure for reducing the sublethal damage (SOD) to a defined lesion focus scope.

Summary:

• The PKLQ method utilizes three mathematical models (Poisson, Klepper, LQ-model) for approximate calculation of lesion resorption probability.
• The core of the method involves reducing sublethal damage (SOD) to the lesion focus.
• The model considers the predominance of radio-sensitive (RS) cells and the presence of radio-resistant cells within the lesion.

Impact:

• Provides a quantitative tool for predicting lesion resorption in radiation oncology.
• Enhances understanding of how cellular radioresistance affects treatment outcomes.
• Facilitates more precise treatment planning and personalized medicine approaches in cancer therapy.