Mathematical Modelling of Radioisotope Activity Used in Diagnostic Imaging
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| Formato: | Recurso digital |
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2024
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| _version_ | 1866901078487859200 |
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| author | FARIAS, Matheus dos Santos |
| author_facet | FARIAS, Matheus dos Santos |
| contents | <p>Diagnostic imaging in nuclear medicine depends on the temporal evolution of administered radioiso-<br>topes and on the relation between physical decay, biological distribution, and detected counts. In this<br>work, a mathematical model is formulated for the activity of radioisotopes used in diagnostic imaging.<br>Ordinary differential equations are derived for single-compartment and two-compartment settings, and<br>analytical solutions are obtained. The model explains uptake, washout, effective half-life, and the time<br>of maximal detectable signal. These results illustrate how mathematical physics and biomathematics<br>contribute to the quantitative interpretation of nuclear imaging procedures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19322419 |
| institution | Zenodo |
| language | |
| publishDate | 2024 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Mathematical Modelling of Radioisotope Activity Used in Diagnostic Imaging FARIAS, Matheus dos Santos diagnostic imaging; radioisotope activity; mathematical modelling; nuclear medicine; compartmental analysis. <p>Diagnostic imaging in nuclear medicine depends on the temporal evolution of administered radioiso-<br>topes and on the relation between physical decay, biological distribution, and detected counts. In this<br>work, a mathematical model is formulated for the activity of radioisotopes used in diagnostic imaging.<br>Ordinary differential equations are derived for single-compartment and two-compartment settings, and<br>analytical solutions are obtained. The model explains uptake, washout, effective half-life, and the time<br>of maximal detectable signal. These results illustrate how mathematical physics and biomathematics<br>contribute to the quantitative interpretation of nuclear imaging procedures.</p> |
| title | Mathematical Modelling of Radioisotope Activity Used in Diagnostic Imaging |
| topic | diagnostic imaging; radioisotope activity; mathematical modelling; nuclear medicine; compartmental analysis. |
| url | https://doi.org/10.5281/zenodo.19322419 |