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Deterministic parsing model of the compound biological effectiveness (CBE) factor for intracellular $$^{10}$$boron distribution in boron neutron capture therapy

数理解析モデルによるホウ素中性子捕獲療法のCBEファクターの評価

石山 新太郎

Ishiyama, Shintaro

BNCT治療の際の中性子による放射線治療効果を表するCBE(Compound Biological Effectiveness)をさまざまな臓器ならびにがん細胞に関してあられたデータをもとに数理解析モデルにより理論的評価を行った結果、下記結論が得られた。CBE = CBE$$_{0}$$ ($$r_{0}$$$$leq$$r or $$N$$$$leq$$$$N_{rm th}$$) and CBE = CBE$$_{0}$$ + $$F$$・[1-($$N$$/$$N_{rm th}$$)(-2/3)][1-($$N$$/$$N_{rm th}$$)(-1/3)]($$r_{0}$$$$>$$r or $$N$$$$>$$$$N_{rm th}$$)ここで、$$r$$及び$$r_{0}$$はボロン原子間距離と$$alpha$$飛程、$$N$$及び$$N_{rm th}$$はボロン濃度及びその閾値である。この式によりCBEファクターは臓器ならびにがん細胞によらず統一的に+0.12から-0.54%の誤差で評価できる。

Deterministic parsing model of Compound Biological Effectiveness (CBE) in BPA-mediated BNCT was proposed for intra-organ $$^{10}$$B distribution. In defining the biological effects of the $$^{10}$$B($$n$$,$$alpha$$)$$^{7}$$Li neutron capture reaction, CBE factor model is expressed; CBE = CBE$$_{0}$$ ($$r_{0}$$ $$<$$ $$r$$ or $$N$$ $$<$$ $$N_{rm th}$$) and CBE = CBE$$_{0}$$ + $$F$$[1-($$N$$/$$N_{rm th}$$)(-2/3)][1-($$N$$/$$N_{rm th}$$)(-1/3)] ($$r_{0}$$ $$>$$ $$r$$ or $$N$$$$>$$$$N_{rm th}$$) Where $$r$$ and $$r_{0}$$ are distance between boron atoms and $$alpha$$ range, $$N$$ and $$N_{rm th}$$ are boron concentration and threshold of $$^{10}$$B concentration in tissues and tumour, CBE$$_{0}$$ and $$F$$ are obtained as 0.5 and 8 for normal tissues and for tumour, respectively. $$N$$ and $$N_{rm th}$$ are evaluated the bio-distribution of $$^{10}$$B in normal tissues and tumour after injection and the CBE factor for normal tissues and tumor approximately within + 0.12 to -0.54% high accuracy.

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