Three-dimensional pattern generation applied to spheroidal tumor growth in a nutrient medium.

This paper is concerned with the three-dimensional simulation of tumor growth. For this purpose a cell cycle model of a tumor cell and rules for its multiplication have been developed. Then algorithms and program packages have been constructed describing the spatial and temporal tumor growth. There is a description of several case studies simulating the growth of a single tumor cell in a nutrient medium and a treatment by surgery, radiotherapy and chemotherapy. The simulation results correspond fairly well with the experimentally observed data. As a result it becomes possible to schedule an optimal treatment of tumor diseases by means of computer simulation.