Mathematical modeling of oxygen distribution in malignant tumors
Date
2015-10
Authors
Ponomarenko, Nataliya
Knigavko, Volodymyr
Batyuk, Liliya
Bondarenko, Maryna
Journal Title
Journal ISSN
Volume Title
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Abstract
Tumors of different shapes, in particular, vary in the degree of convergence or divergence of oxygen diffusion flows in them. Following simple geometric considerations, it becomes obvious that the highest convergence degree of oxygen diffusion flows is characteristic of spherical tumors with oxygen coming from the surface, while the highest divergence degree is typical of cylindrical tumors surrounding a blood vessel coaxial with the tumor and supplying it with oxygen. Estimates were performed for two oxygen tension values of 3.32 kPa and 1.99 kPa, corresponding to oxygen concentration values c0 : c01 = 25 mm Hg and с02 = 15 mm Hg respectively.
Description
Keywords
oxygen diffusion, tumor
Citation
Mathematical modeling of oxygen distribution in malignant tumors / N. S. Ponomarenko, V. G. Knigavko, L. V. Batyuk, M. A. Bondarenko // VI з'їзд радіобіологічного товариства України : тези доповідей, Київ, 5-9 жовтня 2015 р.. – Київ, 2015. – С. 102.