- Bertalanffy L (1950) The theory of open sys-
tems in physics and biology. Science
111:23–29
- Knox SS (2010) From ‘omics’ to complex
disease: a systems biology approach to gene-
environment interactions in cancer. Cancer
Cell Int 10(11):1–13
- Hornberg JJ, Bruggeman FJ, Westerhoff HV,
Lankelma J (2006) Cancer: a systems biology
disease. Syst Biol 83:81–90
- Kitano H (2013) Cancer systems biology: a
robustness-based approach. In: Walhout M,
Vidal M, Dekker J (eds) Handbook of systems
biology. Academic, New York
- Auffray C, Nottale L (2008) Scale relativity
theory and integrative systems biology:
- Founding principles and scale laws. Prog
Biophys Mol Biol 97:79–114
- European Science Foundation (2008)
Advancing systems biology for medical appli-
cations. Science Policy Briefing 35
- Prigogine I (1961) Introduction to thermo-
dynamics of irreversible processes. Wiley,
New York
- De Donder T, Van Rysselberghe P (1936)
Thermodynamics theory of affinity. Oxford
University Press, London
- Nieto-Villar JM, Izquierdo-Kulich E,
Betancourt-Mar JA, Tejera E (2013) Comple-
jidad y auto-organizacio ́n de patrones natur-
ales. Editorial UH, La Habana, Cuba
- Zotin AI (1988) Thermodynamic principles
and reaction of organisms. Nauka, Moscow
- Hanahan D, Weinberg R (2011) Hallmarks of
cancer: the next generation. Cell 144
(5):646–674
- Nicolis G, Prigogine I (1977) Self organiza-
tion in nonequilibrium systems. Wiley,
New York
- Nicolis G, Daems D (1998) Probabilistic and
thermodynamic aspects of dynamical systems.
Chaos 8(2):311–320
- Landau LD, Lifshitz EM (1964) Curso de
Fı ́sica Teo ́rica, Fı ́sica Estadı ́stica, vol
- Reverte ́,Me ́xico
- Landau LD (2008) On the theory of phase
transitions. Ukr J Phys 53:25–35
- Izquierdo-Kulich E, Rebelo I, Tejera E,
Nieto-Villar J (2013) Phase transition in
tumor growth: I Avascular development. Phy-
sica A 392(24):6616–6623
- Betancourt-Mar JA, Llanos-Pe ́rez JA,
Cocho G, Mansilla R, Martin RR,
Montero S, Nieto-Villar JM (2017) Phase
transitions in tumor growth: IV Relationship
between metabolic rate and fractal dimension
of human tumor cells. Physica A
473:344–351
- Ivancevic VG, Ivancevic TT (2007) High-
dimensional chaotic and attractor systems, a
comprehensive introduction, vol 32.
Springer, New York
- Andronov AA, Khaikin SE (1949) Theory of
oscillations. Princeton University Press,
Princeton
- Andronov AA, Vit A, Chaitin C (1966) The-
ory of oscillators. Pergamon Press, Oxford
- Nieto-Villar JM, Quintana R, Rieumont J
(2003) Entropy production rate as a Lyapu-
nov function in chemical systems: proof. Phys
Scr 68(3):163–165
- Nicolis G, Nicolis C (2012) Foundations of
complex systems: emergence, information
and prediction. World Scientific, River Edge,
NJ
- Izquierdo-Kulich E, Nieto-Villar JM (2013)
Morphogenesis and complexity of the tumor
patterns. In: Rubio RG (ed) Without bounds:
a scientific canvas of nonlinearity and complex
dynamics. Understanding complex systems.
Springer, Berlin
- Dinicola S (2011) A systems biology approach
to cancer: fractals, attractors, and nonlinear
dynamics. OMICS 15(3):93–104
- Kitano H (2007) Towards a theory of
biological robustness. Mol Syst 3:137
- Rockmore D (2005) Cancer complex nature.
Santa Fe Inst Bull 20:18–21
- Roose T, Chapman SJ, Maini PK (2007)
Mathematical models of avascular tumor
growth. SIAM Rev 49(2):179–208
- Enderling H, Almog N, Hlatky L (2012) Sys-
tems biology of tumor dormancy, vol 734.
Springer Science & Business Media,
New York
- D’Onofrio A (2013) Multifaceted kinetics of
immuno-evasion from tumor dormancy. In:
Systems biology of tumor dormancy.
Springer, New York, pp 111–143
- Izquierdo-Kulich E, Nieto-Villar JM (2008)
Morphogenesis of the tumor patterns. Math
Biosci Eng 5(2):299–313
- Kuznetsov VA, Knott GD (2001) Modeling
tumor regrowth and immunotherapy. Math
Comput Modell 33(12):1275–1287
- Page K, Uhr J (2005) Mathematical models of
cancer dormancy. Leuk Lymphoma 46
(3):313–327
- Bru ́ A (2003) The universal dynamics of
tumor growth. Biophys J 85(5):2948–2961
- Nasir NA, Kaiser HE (2008) Selected aspects
of cancer progression: metastasis, apoptosis
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