Differential Equation Modelling of the Biological and Physical Elimination of Radiopharmaceuticals
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2021
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| _version_ | 1866901078243540992 |
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| author | FARIAS, Matheus dos Santos |
| author_facet | FARIAS, Matheus dos Santos |
| contents | <p>Radiopharmaceutical elimination is governed simultaneously by biological clearance and physical ra-<br>dioactive decay, giving rise to an effective loss law of multi-parameter character. In this work, differential<br>equations are used to derive the combined model of biological and physical elimination, together with<br>formulas for effective half-life, cumulative activity, average retention, and multi-exponential washout.<br>Single-exponential and biexponential cases are considered, and the analytical expressions are interpreted<br>in the context of nuclear medicine and radiation physics. The results show how elimination kinetics and<br>radioactive transformation interact in a mathematically transparent way.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19322534 |
| institution | Zenodo |
| language | eng |
| publishDate | 2021 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Differential Equation Modelling of the Biological and Physical Elimination of Radiopharmaceuticals FARIAS, Matheus dos Santos biological elimination; physical decay; effective half-life; radiopharmaceuticals; differen- tial equations. <p>Radiopharmaceutical elimination is governed simultaneously by biological clearance and physical ra-<br>dioactive decay, giving rise to an effective loss law of multi-parameter character. In this work, differential<br>equations are used to derive the combined model of biological and physical elimination, together with<br>formulas for effective half-life, cumulative activity, average retention, and multi-exponential washout.<br>Single-exponential and biexponential cases are considered, and the analytical expressions are interpreted<br>in the context of nuclear medicine and radiation physics. The results show how elimination kinetics and<br>radioactive transformation interact in a mathematically transparent way.</p> |
| title | Differential Equation Modelling of the Biological and Physical Elimination of Radiopharmaceuticals |
| topic | biological elimination; physical decay; effective half-life; radiopharmaceuticals; differen- tial equations. |
| url | https://doi.org/10.5281/zenodo.19322534 |