Mathematikal modelling of oxygen diffusion and consumption in cylindrical shape tumor surrounding the blood vessel

Authors

  • N. S. Ponomarenko Kharkiv National Medical University image/svg+xml Author

Keywords:

mathematical modeling, malignant tumor, oxygen diffusion, normoxia, hypoxia

Abstract

In present work mathematical modeling of processes of oxygen diffusion and consumption in a tumor of
the cylindrical shape supplied with oxygen by a capillary, taking place along a tumor axis is proposed.
Cases purely hypoxic tumor and tumor having both normoxic areas and hypoxic areas were considered.
The analytical expressions for the description of the dependence of oxygen concentration in any point of a
tumor from distance between this point and a vessel axis were received. Possible values model parameters
or ranges of possible values of parameters of models were discussed.

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Author Biography

  • N. S. Ponomarenko, Kharkiv National Medical University

    4 Lenin ave., Kharkiv, 61022, Ukraine

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Issue

Vol. 1 No. 24 (2010): Біофізичний вісник

Section

Biophysics of complex systems

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How to Cite

Mathematikal modelling of oxygen diffusion and consumption in cylindrical shape tumor surrounding the blood vessel. (2010). Biophysical Bulletin, 1(24). https://periodicals.karazin.ua/biophysvisnyk/article/view/3984

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