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Continuous administration of alpha radionuclide therapy: a proof-of-concept based on black hole like-dynamics

Soares Dos Santos MP, Bernardo RMC, Marques IA, Botelho MF, Gonçalves G

Physics in medicine and biology, 2026

Abstract

Objective. Targeted radionuclide therapy using alpha-particle-emitting radiopharmaceuticals (alpha-RPT) is increasingly recognized as an effective, safe and economically viable clinical treatment. However, it is restricted to few cancer types, and to metastatic or unresectable tumors as a palliative treatment. Broader implementation of alpha-RPT across cancer types and earlier disease stages is hampered by limitations of current clinical dosimetry. Alpha-RPT administration regimens rely on fixed protocols for intermittent radioactivity (RT) administration, without dynamic adjustments. This study provides a computational proof-of-concept of continuous dynamic-discretized RT administration strategy for alpha-RPT inspired by black hole (BH)-like dynamics.Approach.BHs can exhibit impressive forms of convergence, stability and robustness, ensuring a trapped region, in which matter cannot escape from it. When extrapolated to cancer therapy, the tumor is analogically considered as a mass inside a BH, in which the BH center represents the cancer remission, and the alpha-RPT administration acts as the gravitational attraction pulling the tumor mass towards the center (where a complete remission is reached). Using a recently validated mathematical model of Actinium-225 alpha-RPT in a Murine breast cancer model, we were able to predict geometro-radiopharmacokinetics and tumor dynamics for different number of tumor cells, discretization intervals, and a wide variation range of tumor…

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