肿瘤生长和衰变中混沌吸引子的数学模型
A Mathematical Model of Chaotic Attractor in Tumor Growth and Decay
摘要：
我们提出了一个肿瘤生长和转移的奇异吸引子模型。它是一个具有强非线性耦合的四维时空癌症模型。即使是同一类型的肿瘤，在每个患者中的大小和外观以及时间行为都不同。这显然是对初始条件敏感的动力系统的一个特性。新的肿瘤生长和衰变的混沌模型是生物学动机。它已被开发为一个现场Mathematica演示，参见Wolfram Demonstrator网站：http://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/关键词：反应扩散肿瘤生长模型，混沌吸引子，对初始肿瘤特征的敏感依赖
英文摘要：
We propose a strange-attractor model of tumor growth and metastasis. It is a 4-dimensional spatio-temporal cancer model with strong nonlinear couplings. Even the same type of tumor is different in every patient both in size and appearance, as well as in temporal behavior. This is clearly a characteristic of dynamical systems sensitive to initial conditions. The new chaotic model of tumor growth and decay is biologically motivated. It has been developed as a live Mathematica demonstration, see Wolfram Demonstrator site: http://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/ Key words: Reaction-diffusion tumor growth model, chaotic attractor, sensitive dependence on initial tumor characteristics
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