A point source model to represent heat distribution without calculating the Joule heat during radiofrequency ablation

Numerous liver cancer oncologists suggest bridging therapies to limit growth until donors are available. Interventional radiology including radiofrequency ablation (RFA) is one such therapy. This locoregional therapy aims produce an optimal amount of heat kill cells, where the produced by a (RF) needle. Less experienced Radiologists (IRs) require software-assisted smart solution predict distribution as both overkilling and untreated cells problematic treatments. Therefore, two big three partial differential equations, 1) equation (Pennes, Journal Applied Physiology, 1948, 1, 93–122) 2) Laplace (Prakash, Open Biomed. Eng. J., 2010, 4, 27–38) for electric potential along with different cell death models (O’Neill et al., Ann. Eng., 2011, 39, 570–579) widely used in last decades. However, solving equations model computationally expensive when number finite compact coverings topological structure increases millions. Since source from Joule losses Q r = σ |∇ V | 2 obtained Δ 0, it called model. The traditional can be replaced point obtain term. idea behind this solve δ 0 Dirac-delta function. using fundamental (Evans, Partial Differential Equations, 2010) we represent alternative which given Gaussian distribution. Qrx=∑xi∈Ω1K∑icie−|x−xi|22σ2 K c i needle parameters. employed our software solutions RFA Guardian (Voglreiter Sci. Rep., 2018, 8, 787) predicted treatment outcome very well more than 100 patients.