Kehwar T S, Huq M S, Smith R P
University of Pittsburgh Medical Center, UPMC Cancer Centers, Pittsburgh, PA.
Med Phys. 2012 Jun;39(6Part9):3703. doi: 10.1118/1.4735061.
The purpose of this study is to estimate the effect of edema, developed during implant procedure, on tumor cell surviving fraction(SF) and tumor control probability(TCP) in the patients of prostate cancer who underwent Cs permanent seed implants.
The impact of edema on SF and TCP, was calculated using LQ equation extended to account for exponential nature of edema decay, dose delivered to dematous prostate and inhomogeneous dose distribution. Where (1) S(D)=(1/V)Σ [Vpi{1+M exp(-λ t)}S (D)] S (D)=exp[-αR (0)∫ [exp(- λt)/{1+M exp(-λ t)}τ/3]dt -βq(t){R (0)∫ [exp(-λt)/{1+M exp(-λ t)}τ/3]dt } ] and (2) TCP=exp[-ρVpS(D)] Following parameters, α=0.15Gy , β=0.05Gy , α/β=3.0Gy, Tp=42days, μ=61.6d and ρ=1×10 are used to calculate SF and TCP for 31 patients of Cs permanent seed implants for edema half lives(EHL) ranging from 4 days to 34 days and for edemas of magnitudes(M ) varying from 5% to 60% of the actual prostate volume.
The dose reductions in Cs implants varied from 1.1% (for EHL=4 days and M =5%) to 32.3% (for EHL= 34 days and M = 60%). These are higher than the dose reduction in I implants, which vary from 0.3% (for EHL= 4 days and M = 5%) to 17.5% (for EHL= 34 days and M = 60%). As edema half life increased from 4 days to 34 days and edema magnitude increased from 5% to 60% the SF increased by 4.57 log, and the TCP decreased by 0.80.
Compensation of edema induced increase in the SF and decrease in the TCP in Cs seed implants should be carefully done by redefining seed positions with the guidance of post needle plans. The presented model in this study can be used to estimate the SF or the TCP for pre plan or real time permanent prostate implants using day 0 post implant CT images.
本研究旨在评估前列腺癌患者在进行铯永久性粒子植入过程中出现的水肿对肿瘤细胞存活分数(SF)和肿瘤控制概率(TCP)的影响。
利用扩展的线性二次方程计算水肿对SF和TCP的影响,该方程考虑了水肿消退的指数性质、传递到水肿前列腺的剂量以及不均匀的剂量分布。其中:(1)S(D)=(1/V)Σ [Vpi{1+M exp(-λ t)}S (D)] S (D)=exp[-αR (0)∫ [exp(- λt)/{1+M exp(-λ t)}τ/3]dt -βq(t){R (0)∫ [exp(-λt)/{1+M exp(-λ t)}τ/3]dt } ] 以及(2)TCP=exp[-ρVpS(D)] 采用以下参数,α=0.15Gy ,β=0.05Gy ,α/β=3.0Gy,Tp=42天,μ=61.6天,ρ=1×10,计算31例铯永久性粒子植入患者的SF和TCP,水肿半衰期(EHL)范围为4天至34天,水肿大小(M)为实际前列腺体积的5%至60%。
铯植入中的剂量减少幅度从1.1%(EHL = 4天,M = 5%)到32.3%(EHL = 34天,M = 60%)不等。这些高于碘植入中的剂量减少幅度,碘植入中的剂量减少幅度从0.3%(EHL = 4天,M = 5%)到17.5%(EHL = 34天,M = 60%)。随着水肿半衰期从4天增加到34天,水肿大小从5%增加到60%,SF增加了4.57对数,TCP降低了0.80。
在铯粒子植入中,应在针后置计划的指导下通过重新定义粒子位置来谨慎补偿水肿引起的SF增加和TCP降低。本研究中提出的模型可用于使用植入后第0天的CT图像估计预计划或实时永久性前列腺植入的SF或TCP。