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This paper proposes a novel chaotic reaction-diffusion model of cellulartumor growth and metastasis. The model is based on the multiscale diffusioncancer-invasion model (MDCM) and formulated by introducing strong nonlinearcoupling into the MDCM. The new model exhibits temporal chaotic behavior (whichresembles the classical Lorenz strange attractor) and yet retains all thecharacteristics of the MDCM diffusion model. It mathematically describes boththe processes of carcinogenesis and metastasis, as well as the sensitivedependence of cancer evolution on initial conditions and parameters. On thebasis of this chaotic tumor-growth model, a generic concept of carcinogenesisand metastasis is formulated.  Keywords: reaction-diffusion tumor growth model, chaotic attractor, sensitivedependence on initial tumor characteristics

A Theoretical Model of Chaotic Attractor in Tumor Growth and Metastasis