Document Type : original-application paper

Authors

• Mohammad Namakshenas
• Mohammad Mahdavi Mazdeh

Faculty of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.

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 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.

Keywords

• Mathematical model
• Optimality conditions
• Pharmaceutical management
• Molecular imaging

Main Subjects

• Optimization in science and engineering