The Dynamics Disease Model Base On Penna Model

This paper attached to the scope of biological mathematics. In the domain of biological mathematics, there are many ways to study disease nowadays. This paper discusses related issues of infectious diseases and Non-communicable diseases based on Perma Model and Cellular Automata.Penna model is based on mutation accumulation theory, and was introduced by T. J. P. Perma in 1995. The model is identified on an age structure, included the environmental, genetic mutation, age of propagation, the limit of population, and other factors.The other theory applied in this paper is Cellular Automata, a model based on cellular evolution, with characteristics of dispersion in time, pace and state. This model can only serve in gaining values from a detenrfinate bound. In recent years, it has been observed that Cellular Automata can produce many complex behaviors during its evolution process. The various applications of Cellular Automata make it become the forefront of science, recently.The paper base on the two models mentioned above also discusses an infectious disease at chapter three. In the chapter, each single cell is described as a Perma Model. Hamming Distance is defined in serving to control the strength of infectiousness and the existence of the stocks, which has not been discussed in any former published researches. The existence of stocks is the keystone of the paper, considering the population at begin, strength of infects, and capability in infecting and curing. The ill people can change with other parameters when the stock stability exists, and this is according to the behaviors of the stock on diffuse.In chapter four, a total new model has been put forward. According to Perma Model, a definition of O and Ts chain has been defined to score cancer to the effects on stock. With the probability of opening and closing the specific genes, people have different probabilities in acquiring cancer. The infection parameter has been discussed in this paper, and series of conclusion are consistent with the known facts.New theories are used to discuss the issues in this paper, with the results consistent with the known facts, and the Hamming distance and cancer model are innovative work which can serve in forecast the trend of diseases.