Radionuclide Impurity Fraction Algorithm for Confidence-Based Compliance
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Solution Overview
Problem
Existing methods for determining radionuclide impurity levels do not account for uncertainties in radionuclide activities, leading to inaccurate compliance assessments with regulatory limits.
Innovation Solution
A novel method to calculate the upper limit and probability of the ratio of radionuclide activities, incorporating uncertainties and using a solid approximation for probability density functions, ensuring compliance with regulatory limits.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If the Minimum Detectable Activity (MDA) is used to determine impurity levels, then the measurement process is simple, but the result does not account for uncertainties and may be inaccurate
Solution Approach 1:
The patent changes the approach from using a single MDA value to calculating activity ratios with uncertainty propagation. It transforms the measurement parameters by incorporating both the activity values and their uncertainties, then computes the ratio distribution to determine compliance. This resolves the contradiction by maintaining operational feasibility while significantly improving measurement accuracy through proper uncertainty analysis.
2Device complexity
If the activity ratio of impurity to primary radionuclide is calculated without considering uncertainties, then the calculation is straightforward, but the compliance assessment is unreliable
Solution Approach 1:
The patent implements feedback by using the calculated activity ratio and its uncertainty to determine compliance probability. Instead of a single deterministic calculation, the method feeds back the uncertainty information into the compliance assessment, allowing for a probabilistic determination of whether the impurity level meets regulatory limits. This resolves the contradiction by maintaining calculation feasibility while dramatically improving reliability.
3Ease of operation
If a deterministic impurity fraction calculation is used, then the result is easy to interpret, but it does not provide confidence levels for regulatory compliance
Solution Approach 1:
The patent adds a new dimension to the impurity assessment by introducing the probability confidence level. Instead of仅提供 a single impurity fraction value, the method provides both the activity ratio and its associated uncertainty distribution, enabling compliance assessment in terms of probability. This resolves the contradiction by maintaining ease of interpretation through clear probability statements while preserving uncertainty information that was previously lost.
Data Source
AI summary
This disclosure provides novel processes and methods of use for determining compliance with a maximum regulatory limit of an impurity radionuclide as compared to a primary radionuclide. The disclosed principles propose that a better and more defendable way is to calculate the activity and uncertainty of the impurity and primary radionuclide, and calculate the probability density of the ratio of the two normal probability density functions. From the probability density of the ratio, one can define an upper limit that the ratio can have with a certain confidence, and this number can be compared to the regulatory limit of the ratio of the activities in order to determine compliance with that regulatory limit.