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Lutetium (177 Lu) chloride is a radioactive compound used for the radiolabeling of pharmaceutical molecules, aimed either as an anti-cancer therapy or for scintigraphy (medical imaging). [ 5 ] [ 6 ] It is an isotopomer of lutetium(III) chloride containing the radioisotope 177 Lu , which beta decays with a half-life of 6.64 days.
Forty radioisotopes have been characterized, with the most stable, besides 176 Lu, being 174 Lu with a half-life of 3.31 years, and 173 Lu with a half-life of 1.37 years. All of the remaining radioactive isotopes have half-lives that are less than 9 days, and the majority of these have half-lives that are less than half an hour.
Lutetium (177 Lu) oxodotreotide or 177 Lu dotatate, brand name Lutathera, is a chelated complex of a radioisotope of the element lutetium with dotatate, used in peptide receptor radionuclide therapy. Specifically, it is used in the treatment of cancers which express somatostatin receptors. [5] It is a radiolabeled somatostatin analog. [3] [6] [7]
Lutetium occurs on the Earth in form of two isotopes: lutetium-175 and lutetium-176. Out of these two, only the former is stable, making the element monoisotopic . The latter one, lutetium-176, decays via beta decay with a half-life of 3.78 × 10 10 years ; it makes up about 2.5% of natural lutetium. [ 7 ]
Lutetium (177 Lu) vipivotide tetraxetan, sold under the brand name Pluvicto, is a radiopharmaceutical medication used for the treatment of prostate-specific membrane antigen (PSMA)-positive metastatic castration-resistant prostate cancer (mCRPC). [5] [6] Lutetium (177 Lu) vipivotide tetraxetan is a targeted radioligand therapy. [6] [8]
The area of the blue region converges to Euler's constant. Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:
If X ~ Gamma(ν/2, 2) (in the shape–scale parametrization), then X is identical to χ 2 (ν), the chi-squared distribution with ν degrees of freedom. Conversely, if Q ~ χ 2 (ν) and c is a positive constant, then cQ ~ Gamma(ν/2, 2c). If θ = 1/α, one obtains the Schulz-Zimm distribution, which is most prominently used to model polymer ...
Lutetium is a rare-earth element, with one naturally-occurring stable isotope 175 Lu and one naturally-occurring radioactive isotope 176 Lu. [3] When 176 Lu atoms are incorporated into earth materials, such as rocks and minerals, they began to be "trapped" while starting to decay. [4]