Кафедра медичної та біологічної фізики і медичної інформатики

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Author: search.filters.author.Knigavko, VolodymyrSubject: search.filters.subject.tumor

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    Mathematical modeling of determination time characteristics of the formation of second other tumors
    (2019-06-18) Batyuk, Liliya; Knigavko, Volodymyr; Ponomarenko, Nataliya; Rukin, Aleksey; Morozova, Oksana; Utytskykh, Tatyana
    One of the key factors of of carcinogenesis is damage of certain genes in the tumor cells. Presumably, these genes are responsible for reparation of DNA damage. Proceeding from such a concept, one can construct probabilistic mathematical models that allow calculating the numerical characteristics of the time of formation of other tumors.
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    Probabilistic model of carcinogenesis and problems in estimating model parameters
    (2015-10) Knigavko, Volodymyr; Zaytseva, Olga; Bondarenko, Maryna; Batyuk, Liliya; Kocharova, Tetiana
    It is assumed that an individual’s genotype has a certain number (up to eight according to different data) of genes, which in the event of damage (loss of function) of all such genes, the cell shall undergo malignant change. To analyse the model, it is necessary to estimate the probability of presence in an individual’s genotype of a certain number of a-genes for the entire human population.
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    Mathematical modeling of oxygen distribution in malignant tumors
    (2015-10) Ponomarenko, Nataliya; Knigavko, Volodymyr; Batyuk, Liliya; Bondarenko, Maryna
    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.