RT Journal Article T1 Analytical positron range model for PET with cross-code Monte Carlo benchmarking A1 Paneque-Yunta, Robert J A1 Encina-Baranda, Nerea A1 Carter, Lukas M A1 Galve Lahoz, Pablo A1 Ibáñez García, Paula Beatriz A1 Abushab, Khaled M A1 Udías Moinelo, José Manuel A1 López Herraiz, Joaquín AB Introduction. The positron range (PR) effect is a significant factor limiting spatial resolution in positron emission tomography (PET), particularly for high-resolution systems and non-standard isotopes. Objective. This study introduces a novel analytical model to accurately and rapidly describe PR distributions (PRd) for various PET radioisotopes to better include its effect in PET reconstruction algorithms. Approach. The proposed model explicitly incorporates the Coulomb repulsion effect, the multi-branch nature of certain beta+ emitters, and the scaling of PR with electronic density. To minimise bias, we used a histogram-free statistical method to derive the cumulative PRd from Monte Carlo (MC) simulated annihilation datasets, avoiding arbitrary histogram binning. A comparative analysis of PR estimates was conducted across three major MC radiation transport algorithm packages: PENELOPE (via PenEasy/PeneloPET), GEANT4 (via GATE), and EGS5 (via PHITS), revealing notable discrepancies between codes, versions, and input configurations, especially at short distances from the source. Main results. The new analytical model demonstrated an excellent reproduction of the simulated data for isotopes including 11C, 13N, 15O, 18F, 64Cu, 68Ga, 82Rb and 124I, achieving in general coefficients of determination (R2) greater than 0.995 and mean absolute percentage errors less than or similar to 20%. Compared to previous methods, our model provides a more accurate description of PRd at low distances and offers improved R2 values. Significance. This work provides a robust framework for generating accurate annihilation point spread function kernels, facilitating improved PR correction in quantitative Nuclear Medical Imaging and supporting research with diverse radioisotopes. SN 0031-9155 YR 2025 FD 2025-08-13 LK https://hdl.handle.net/20.500.14352/123607 UL https://hdl.handle.net/20.500.14352/123607 LA eng NO Robert J Paneque-Yunta et al 2025 Phys. Med. Biol. 70 165013 NO JDC2023-051754-I NO Agencia Estatal de Investigación (España) NO European Commission NO Ministerio de Ciencia, Innovación y Universidades (España) DS Docta Complutense RD 19 dic 2025