Power Function Retention of Radionuclides in a Wound

Area of Science:

• Radiological Protection
• Biophysics
• Mathematical Modeling

Background:

• NCRP Report 156 categorizes soluble radionuclide wound retention into four types: weak, moderate, strong, and avid.
• Understanding radionuclide retention kinetics is crucial for effective wound management and dose assessment.

Observation:

• A novel single-parameter negative power function, t, is proposed to model radionuclide retention over time.
• This power function simplifies the analysis of retention data, representing different categories as distinct slopes on log-log plots.

Findings:

• The parameter gamma (γ) effectively assigns a wound retention category.
• Regression analysis yielded specific γ values for each category: weak (0.735 ± 0.132), moderate (0.514 ± 0.015), strong (0.242 ± 0.016), and avid (0.053 ± 0.023).
• A case study demonstrated the power function's accuracy in fitting plutonium/americium retention data in a hand wound for over 5 years.

Implications:

• This model offers a rapid and efficient method for classifying radionuclide wound retention.
• The findings can improve the accuracy of internal dosimetry and inform treatment strategies for radionuclide contamination.
• The power function provides a valuable tool for retrospective analysis of contamination incidents.