An approach of modelling and simulating the spread of heterogeneous tumor cells in a three-dimensional tissue segment

Development of a randomized 3D cell model for Monte Carlo microdosimetry simulations

“…Various models have been developed to simulate radiation induced cellular processes using small regular arrays of cells. 1 In many of these models, cells were represented as regularly spaced voxels containing a water medium. These models have allowed groups of cells and cell processes to be simulated by establishing a set of rules and conditions for the modeled cells.…”

“…Many of the previous models, developed to simulate the response of cells to radiation, have not modeled the shape, size, or structure of the cells. 1 Thus, the channels of cell death mentioned above, stemming from damage to specific cellular structures, cannot be modeled if cells are represented as voxels of water medium.…”

“…One of the earliest attempts to computationally simulate cell death due to radiation damage was performed by Duchting. 1 The simulation modeled a regular array of cells (40 Â 40 Â 40 cells) each represented by a single cubic voxel element of a 3D lattice. The biological processes that each cell could undergo were limited to division and cell phase cycling.…”

Biological Diffusion Coefficient for 3D Tumor Growth in Homogeneous Media

“…In a series of publications, Düchting et al have produced several models for cellular growth simulation and cell-cell interactions [1][2][3][4][5]. Kansal et al introduced a three-dimensional cellular automaton model of the brain tumor which predicted that the tumor growth dynamics follows a Gompertz function [6,7].…”