Tijana T. Ivancevic

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This paper proposes a novel chaotic reaction-diffusion model of cellular tumor growth and metastasis. The model is based on the multiscale diffusion cancer-invasion model (MDCM) and formulated by introducing strong nonlin-ear coupling into the MDCM. The new model exhibits temporal chaotic behavior (which resembles the classical Lorenz strange attractor) and(More)
The purpose of this paper is to present modern tennis science to a wider scientific audience. A biomechanical analysis of tennis shots and the corresponding racket/ball dynamics is presented together with its analogy with handball throws. The main difference between these two sport games is in the tennis racket (as an additional body segment with its(More)
Nonlinear space-time dynamics, defined in terms of celebrated 'solitonic' equations, brings indispensable tools for understanding, prediction and control of complex behaviors in both physical and life sciences. In this paper, we review sine–Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living(More)