EDUCATIONAL SECTIONTumour biology, chaos and non-linear dynamics
References (17)
Non-linear dynamics for clinicians: chaos theory, fractals and complexity at the bedside
Lancet
(1996)- et al.
Viewpoint: a new biological framework for cancer research
Lancet
(1996) Heterogeneity, biodiversity and bioperversity in solid neoplasms
Eur J Surg Oncol
(1996)Chaos, Fractals and Dynamics: Computer Experiments in Mathematics
Wokingham: Addison-Wesley
(1990)Chaos and Catastrophe Theories
Thousand Oaks, CA: Sage
(1995)The New Scientist Guide to Chaos
Harmondsworth: Penguin
(1992)The Fractal Geometry of Nature
New York: WH Freeman
(1982)- et al.
Chaos and fractals in human physiology
Scient Am
(1990)
There are more references available in the full text version of this article.
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Periodic and chaotic dynamics in a map-based model of tumor-immune interaction
2013, Journal of Theoretical BiologyCitation Excerpt :In theory, this complexity can lead to an emergence of different types of attractors (fixed point, limit cycle, and even strange attractor) (Liu et al., 2009; Kuznetsov et al., 1994; Ahmed, 1992). In fact, one can also experimentally demonstrate the existence of these limit cycles and strange attractors as a result of the complex dynamics of the tumor system (Ivancevic et al., 2008a; El-Gohary, 2008; Rew, 1999). These strange behavior of tumors can be addressed based on the inherent properties of chaos (Lorenz, 1963), such as sensitive dependence on initial conditions.
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