We developed and reported an analytical model (version 2.1) of inter-pixel cross-talk of energy-sensitive photon counting detectors (PCDs) in 2016 . Since the time, we have identified four problems that are inherent to the design of the model version 2.1. In this study, we have developed a new model (version 3.2; "PcTK" for Photon Counting Toolkit) based on a totally different design concept. The comparison with the previous model version 2.1 and a Monte Carlo (MC) simulation has shown that the new model version 3.2 addressed the four problems successfully. The workflow script for computed tomography (CT) image quality assessment has demonstrated the utility of the model and potential values to CT community. The software packages including the workflow script, built using Matlab 2016a, has been made available to academic researchers free of charge (PcTK; https://pctk.jhu.edu).