Optimization in science and engineering
Mohammad Namakshenas; Mohammad Mahdavi Mazdeh
Abstract
Purpose: The chemical attributes of Technetium-99m have made it popular for most medical imaging procedures. However, in recent years, the decay product of molybdenum-99, i.e., technetium-99m, has become expensive, and its routine availability can no longer be taken for granted. We proposed scenarios ...
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Purpose: The chemical attributes of Technetium-99m have made it popular for most medical imaging procedures. However, in recent years, the decay product of molybdenum-99, i.e., technetium-99m, has become expensive, and its routine availability can no longer be taken for granted. We proposed scenarios to maximize the throughput of Technetium-99m which is used to produce radiopharmaceuticals in a medical imaging center.Methodology: We proved a recursive function to imitate the decay dynamics of Technetium-99m, which is used in 80 percent of medical imaging. Then, we proved necessary and sufficient optimality analysis for this function.Findings: We found optimal scenarios for distributing the radiopharmaceuticals into elusion periods according to clinical considerations.Originality/Value: We developed a rigorous mathematical model based to maximize the throughput of radiopharmaceuticals in a molecular imaging center.