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Simulations Of A Mortality Plateau In The Penna Model

Posted on:2007-10-12Degree:MasterType:Thesis
Country:ChinaCandidate:Y B DaiFull Text:PDF
GTID:2120360182483837Subject:Computational Mathematics
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Biomathematics is a new dual discipline what come into being biology in 20th century.It use mathematics method to research and solve the question of biology. The basic theory and methods of Biomathematics have a significant impact on the development of contemporary biology, and biology in the broad field of applications.Mathematical models can be shown and described in some real world phenomena, the identity and status of mathematical systems. Quantitative mathematical models to describe life in the process of physical movement, a complex biological problems using mathematical models to be translated into a mathematical problem, by the logic of mathematical models, equations and calculations, we can obtain objective things related conclusions reached to life phenomena research purposes. The complex phenomenon of life, from the biology, mathematics often very complex and require enormous computing. Therefore, the computer is to study and solve biological issues important tool.The mechanism of ageing is still an important task of recent research and the mutation accumulation hypothesis is one of the most popular acceptable ones.In the 19th century Gompertz found that the mortality function increasees exponentially with age.Less or more pronounced decreases of this mortality exponential growth at old ages, also known as the oldest old effect, have been observed in humans and mainly in flies.Penna model, proposed by TJ.P.Penna in 1995, is a theory model of sympatric speciation community based on Monte-Carlo simulation. It is a used very common model by simulating with computer.Penna model is a very ideal model to explain the mechanism of ageing. This paper gives the review of the model and modifications and applications.Then the author obtain some fun live phenomena by using the modified modelIn Chart 1, the introduction of Penna model, it applications and almost all references about it are given. In Chart 2 and 3, the main works by the author are given. One is the modification of the original Penna model. A relationship between the population age distribution and the birth rates is obtained by analyzing Penna model, finally figures about the different relation are given out.
Keywords/Search Tags:Penna model, Death probability function, Mortality function
PDF Full Text Request
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