Mathematical modelling of growth process of the cylindrical shape of the malignant tumor, coaxial with the capillary feeding it

Authors

  • N. S. Ponomarenko Kharkiv National Medical University image/svg+xml Author
  • V. G. Knigavko Institute of medical radiology S.P.Grigorieva Author
  • Y. G. Knigavko Institute of medical radiology S.P.Grigorieva Author
  • L. V. Batyuk Kharkiv National Medical University image/svg+xml Author

Keywords:

mathematical modelling, growth of the malignant tumor, oxygenation, normoxia, hypoxia

Abstract

Mathematical modelling of growth process of the cylindrical shape of the malignant tumor, coaxial with
the capillary feeding it was developed. The malignant tumor with the hypoxic regions and the tumor
having both normoxic and hypoxic regions were considered. Analytical expressions describing
dependence on time of the sizes of the tumor, and the malignant tumor with the hypoxic, normoxic,
proliferation and unproliferation sizes was obtained.

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Author Biographies

  • N. S. Ponomarenko, Kharkiv National Medical University

    4 Lenin ave., Kharkiv, 610022, Ukraine

  • V. G. Knigavko, Institute of medical radiology S.P.Grigorieva

    82 Pyshkinskay str., Kharkiv, Ukraine

  • Y. G. Knigavko, Institute of medical radiology S.P.Grigorieva

    82 Pyshkinskay str., Kharkiv, Ukraine

  • L. V. Batyuk, Kharkiv National Medical University

    4 Lenin ave., Kharkiv, 610022, Ukraine

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Issue

Vol. 1 No. 26 (2011): Біофізичний вісник

Section

Biophysics of complex systems

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How to Cite

Mathematical modelling of growth process of the cylindrical shape of the malignant tumor, coaxial with the capillary feeding it. (2015). Biophysical Bulletin, 1(26). https://periodicals.karazin.ua/biophysvisnyk/article/view/2712

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