Afractal attractor model in avascular tumor proliferation

T. T. Ivancevic, M. Bottema, L. C. Jain

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter proposes a fractal 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:

Original languageEnglish
Title of host publicationHandbook on the Classification and Application Of Fractals
EditorsKylie J. Brennan
Place of PublicationNew York, USA
PublisherNova Science Publishers, Inc.
Number of pages14
ISBN (Electronic)9781624174933
ISBN (Print)9781613241981
Publication statusPublished - 2012
Externally publishedYes

Publication series

Name Mathematics Research Developments


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