A Mathematical Model of Chaotic Attractor in Tumor Growth and Decay

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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
4 pages, 1 figure, latex

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Cell Behavior, Quantitative Methods

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http://salesiana.dossiersoluciones.com/handle/123456789/172461

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4580
 http://arxiv.org/abs/0810.4580

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arXiv