Damped sinusoidal function to model acute irradiation in radiotherapy patients

Area of Science:

• Oncology
• Medical Physics
• Biostatistics

Background:

• Radiotherapy can cause mucositis, a side effect impacting patient quality of life.
• Understanding the temporal dynamics of mucosal response post-radiotherapy is crucial for treatment management.
• Existing models may not fully capture the oscillatory nature of tissue regeneration.

Purpose of the Study:

• To introduce and validate a damped sinusoidal function for modeling mucosal regenerative response after radiotherapy.
• To compare the fit of the proposed model against a non-oscillatory function.
• To provide a tool for numerical evaluation and optimization of radiotherapy toxicity.

Main Methods:

• Utilized medical history data from 389 radiotherapy patients (1994-2000).
• Applied statistical modeling using a damped sinusoidal function to assess mucosal response over time.
• Analyzed data from five distinct radiotherapy schedules (CAIR, CB, Manchester, CHA-CHA, Conventional).
• Validated the model using goodness-of-fit statistics against a non-oscillatory function.

Main Results:

• The damped sinusoidal model demonstrated a statistically significant fit for all regression parameters across radiotherapy schedules (p < 0.05).
• The proposed model showed a superior fit to the data compared to the non-oscillatory damped function.
• Model curves with confidence intervals were generated for individual and combined radiotherapy schedules.

Conclusions:

• The damped sinusoidal function provides a robust and accurate method for modeling radiation-induced mucositis.
• This model facilitates quantitative assessment of radiotherapy toxicity and aids in treatment personalization.
• The findings support the use of this model for practical comparisons and optimization of radiotherapy schedules.