< p >很多肝癌肿瘤专家建议桥接治疗限制肿瘤生长,直到捐助者是可用的。介入放射学包括射频消融术(RFA)就是这样的一个桥接治疗。这个局部区域治疗的目的是产生一个最优的热量杀死癌细胞,产生的热量是一个射频(RF)针。经验较少的介入放射科医师(IRs)需要software-assisted智能解决方案预测的最佳热量分布overkilling和未经处理的肿瘤细胞都有问题的治疗方法。因此,两个三大偏微分方程,1)热方程(人们应用生理学杂志》,1948年,1,93 - 122年)来预测热分布和2)拉普拉斯方程(普拉卡什,打开生物医学。Eng。J。2010年4 27-38)电势以及不同的细胞死亡模型(O ' neill et al .,安。生物医学。Eng。, 2011, 39, 570–579) are widely used in the last three decades. However, solving two differential equations and a cell death model is computationally expensive when the number of finite compact coverings of a liver topological structure increases in millions. Since the heat source from the Joule losses Qr = σ|∇V|2 is obtained from Laplace equation σΔV = 0, it is called the Joule heat model. The traditional Joule heat model can be replaced by a point source model to obtain the heat source term. The idea behind this model is to solve σΔV = δ0 where δ0 is a Dirac-delta function. Therefore, using the fundamental solution of the Laplace equation (Evans, Partial Differential Equations, 2010) we represent the solution of the Joule heat model using an alternative model called the point source model which is given by the Gaussian distribution.Qrx=∑xi∈Ω1K∑icie−|x−xi|22σ2
where K and ci are obtained by using needle parameters. This model is employed in one of our software solutions called RFA Guardian (Voglreiter et al., Sci. Rep., 2018, 8, 787) which predicted the treatment outcome very well for more than 100 patients.