Fluctuations induced the competition between extinction and recurrence in a model of tumor growth
作者单位：Department of Applied MathematicsNorthwestern Polytechnical University
会议名称：《第九届全国动力学与控制学术会议》
会议日期：2012年
学科分类：1002[医学-临床医学] 07[理学] 070102[理学-计算数学] 100214[医学-肿瘤学] 0701[理学-数学] 10[医学]
关 键 词：fluctuations model of tumor growth tumor extinction tumor recurrence
摘 要：In this paper we mainly investigate the effects of the fluctuations on the competition between tumor extinction and recurrence in the model of tumor growth derived from the catalytic Michaelis-Menten reaction.Firstly,the stochastic model of tumor growth and the statistical properties of the different fluctuations are given.Then, for taking into account the influences of the fluctuations on the transition between two stable states:the state of extinction and the state of stable tumor,the Mean First