Stochastic models of tumour development and related mesoscopic equations

Автор(и)

  • D. Finkelshtein Department of Mathematics, Swansea University,, United Kingdom
  • M. Friesen Department of Mathematics, Bielefeld University, Germany
  • H. Hatzikirou Center for Advancing Electronics, Technische Universität Dresden, Germany
  • Yu. Kondratiev Department of Mathematics, Bielefeld University, Germany
  • T. Kruüger Faculty of Electronics, Wroclaw University of Technology, Poland
  • O. Kutoviy Department of Mathematics, Bielefeld University, Germany

DOI:

https://doi.org/10.31392/2307-4515/2015-7.1

Анотація

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.

Посилання

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Опубліковано

2015-12-18

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Розділ

Математичнi моделi складних систем