Statistical property of absorbed energy in monolayer cell collectives with porous dielectric structure during irreversible electroporation therapy

In the irreversible electroporation (IRE) therapy, the absorbed energy is normally characterized as the applied dose and assumed to be distributed in the homogeneous dielectric. By employing statistical analyses, we have studied the absorbed energy distribution in the porous multicellular dielectric, with the geometric patterns randomly generated from the following statistical quantities: system size, cell size, cell concentration, and cell flattening ratio. Parametric formulas regarding the mean and standard deviation of the absorbed energy are obtained through numerical simulations and iterative fitting. Our statistical results reveal that the mean value of absorbed energy with cell concentration exhibits a "conductance" to "resistance" transition, similar to the percolation of two-phase materials, and the direction of the transition flips as cell diameter increases. The standard deviation of energy, however, follows a bell-shaped curve under varied concentration, indicating a shift in energy distribution from an "aggregation" to a "dispersion" state. Based on the parametric formulation, we quantitatively explore the critical threshold of the transition, as well as the general scaling laws of the geometric variables on the mean and standard deviation of the absorbed energy. Our work could help to quantitatively explain the lethality variation in IRE ablation targeting monolayer cell collectives with different geometrical characteristics.