STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS

Finkelshtein D, Friesen M, Hatzikirou H, Kondratiev Y, Krueger T, Kutoviy O (2015)
INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS (7): 5-85.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Finkelshtein, Dmitri; Friesen, M.; Hatzikirou, H.; Kondratiev, YuriUniBi; Krueger, T.; Kutoviy, Oleksandr
Abstract / Bemerkung
We consider different mathematical models inspired by the problems of medicine, in particular, the tumour growth and the related topics. We demonstrate how to starting from an individual-based (microscopic) description, which characterizes cells' behaviour, derive the socalled kinetic (mesoscopic) equations, which describe the approximate system density. Properties of the solutions to the mesoscopic equations (in particular, their long-time behaviour) reflect statistical characteristics of the whole system and demonstrate the corresponding dependence on the system parameters.
Erscheinungsjahr
2015
Zeitschriftentitel
INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS
Ausgabe
7
Seite(n)
5-85
ISSN
2307-4515
Page URI
https://pub.uni-bielefeld.de/record/2916738

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Finkelshtein D, Friesen M, Hatzikirou H, Kondratiev Y, Krueger T, Kutoviy O. STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS. 2015;(7):5-85.
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krueger, T., & Kutoviy, O. (2015). STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS(7), 5-85.
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krueger, T., and Kutoviy, O. (2015). STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS, 5-85.
Finkelshtein, D., et al., 2015. STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS, (7), p 5-85.
D. Finkelshtein, et al., “STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS”, INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS, 2015, pp. 5-85.
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krueger, T., Kutoviy, O.: STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS. 5-85 (2015).
Finkelshtein, Dmitri, Friesen, M., Hatzikirou, H., Kondratiev, Yuri, Krueger, T., and Kutoviy, Oleksandr. “STOCHASTIC MODELS OF TUMOUR DEVELOPMENT AND RELATED MESOSCOPIC EQUATIONS”. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS 7 (2015): 5-85.

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