The Application Of Cellular Automata In Simulation Of Cell Behavior

Radiation used in clinical more and more widely,more and more attention to radiation protection issues.In order to validate the radiation dose of the cells,a preliminary exploration was made for the National Natural Science Foundation of China(K112805915,the real cell voxel model based on microdosimetry and the preliminary application study),simulation of real cell growth is particularly important.For the description model of biological cell growth dynamics,the purely mathematical model is the most commonly used.The pure mathematical model is generally non-linear dynamic differential equations,such models are generally in the ideal case,derived by theoretical derivation,is a deterministic mechanism model.Nonlinear dynamics differential equation This characteristic is somewhat contrary to the stochastic nature of biological cell growth,when the complexity of biological nonlinear systems increases,and the solution from the differential equation or even by the calculation of the value becomes increasingly hopeless,The advantages of cellular automata are highlighted,and they are very flexible and effective modeling tools.The use of cellular automata ideas and the use of Matlab tools to simulate the real cell growth and evolution.Objective1.Validation of cellular automata + Matlab simulation of the possibility of real cell evolution.2.The cellular automata were designed,and the simulation of real cell growth was simulated with Matlab.Methods1.Firstly,according to Monod's equation,the kinetic differential equation of cell growth and matrix consumption is deduced.Based on this equation,a simple 0,1-cellular automaton model is designed by using cellular automata,The cellular automate were operated with MATLAB tool,and the evolution curve of cell growth and matrix consumption with time was obtained.2.The growth curves of human gastric epithelial cells,thymocytes and brain micro-vascular endothelial cells were measured.3.A complex two-dimensional cellular automata is designed.Based on the dynamic differential equations,the evolution rules are designed based on the adjusted parameters.The evolution state of the real cell division cycle is designed at different stages.The time of MATLAB was used as the evolution step to simulate the human gastric epithelial cells,thymocytes and brain microvascular endothelial cells.Results1.The kinetic differential equation of cell growth and matrix consumption was deduced.In order to validate it,a simple cellular automaton was designed.The result of MATLAB evolution was in good agreement with the curve described by the kinetic differential equation.2.The growth curves of three kinds of cells were obtained.3.A two-dimensional cellular automata(CABCGM)is designed.By adjusting the adjustable parameters of cellular automata(evolution thresholds,evolution rules,etc.),three kinds of cell lines are simulated,Cell evolution curve is very consistent.Conclusions1.It is verified that the possibility of the growth of biological cells can be simulated by designing a cellular automaton and using MATLAB.2.It can be used cellular automata instead of cumbersome dynamic differential equations to simulate.3.The simulated curve is in good agreement with the growth curve of the real cell,preparing for the further study of the project.