Table2:

Details about the computation methods and setting adopted for all the ⁹⁰Y DVKs employed in the present study.

90Y DVKs	Matrix size	Material composition	Material density	Decay data	Beta spectrum	Calculation method	MC code for DVK or DPK generation	Number of simulated particles	Energy/range cutoff	Surrounding medium
Amato 10	11×11×11	Soft tissue	1.04 g/cm3	Radar17	Radar*17	Analytical method	Geant4 9.1	10^8	10 μm	Infinite volume
Bolch 11	11×11×11	Soft tissue	1.04 g/cm3	Eckerman et al.27,28	Not available	Direct MC simulation	EGS4	Not available	Not available	Cubical region with side 24.3 cm
Graves 8	13×13×13	Water	1.00 g/cm3	NNDC18	Radar17	MC volume integration of DPKs	MCNP 6.2	10^6 per emission type	1 keV	Sphere of 2 m radius for DPK
Lanconelli 6	11×11×11	Soft tissue	1.04 g/cm3	Radar17 §	Radar**17	Direct MC simulation	DOSXYZnrc (EGSnrc)	2.5*10^7	1 keV	Cubical region with side 16.5 cm
Pistone †	15×15×15	Soft tissue	1.03 g/cm3	ENSDF 22	ENSDF 22	Direct MC simulation	GAMOS 6.2.0	10^9	100 μm	Cubical region with side 50 cm
Salvat †	11×11×11	Soft tissue	1.00 g/cm3	Nucleide19	García-Toraño et al.20	Direct MC simulation	PENELOPE (version 2018)21	2*10^8	5 keV (electrons), 1 keV (photons)	Sphere of 20 cm radius
Tranel †	15×15×15	Water	1.00 g/cm3	ENSDF22	ENSDF22	Direct MC simulation	GATE 9.0	10^8	10 μm	Cubical region with side 1 m
Vergara 9	11×11×11	Soft tissue‡	1.04 g/cm3	ENSDF22	ENSDF22	MC volume integration of DPKs	GATE (version not specified)	10^8	1 μm	Cubical region with side 2.1 m
UMICH DPM †	17×17×17	Soft tissue	1.00 g/cm3	NuDat 3.023	BetaShape24	Direct MC simulation	DPM25	10^9	20 keV (electrons), 4 keV (photons)	Cubical region with side 17×3mm

^†Published within this paper

^‡DVK computed by MC volume integration of DPKs in water, converted into soft tissue DVK by the Cross approximation²⁶.

^*merge of monoenergetic e- DVKs, binning: 25 keV

^**merge of monoenergetic e- DVKs, binning: 10 keV

^§Characteristic x-rays and mono-energetic excluded