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. Author manuscript; available in PMC: 2024 Jun 1.
Published in final edited form as: Med Phys. 2023 Mar 3;50(6):3842–3851. doi: 10.1002/mp.16295
Stage 1 (Outer Loop)
minw fmeta(w)= im2τi+1Fτiim2τi+1
s.t. w ≽ 0
1T w ≤ 1 (1)
Stage 1 (Inner Loop)
minx wPTVsPTVs1Nsis(did^)2+sOARswsNsisΘ(did^)(did^)2
s.t. x ≥ 0
d = Dx (2)
Meta-scoring Tier List
Fτ0 = 1|PTVs|sϵ{PTVs}min(1, max(HIs  HIs,()HIs,  (+) HIs,(),0))
Fτ1 = min(1,max(CI(+)CICI(+) CI(),0))
Fτ2 = 1|OARs|s{OARs}min(1,max(d¯s d¯s,()d¯s,(+)d¯s,(),0))
Fτ3 = 1|OARs|s{OARs}min(1,max(d¯s d¯s,()d¯s,(+)d¯s,(),0))
(3)