Bondarenko M. Mathematical modeling of oxygen and glucose diffusion and consumption in the malignant tumours.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U003087

Thesis Registration Form

0402U003087.pdf

Applicant for

Specialization

  • 03.00.02 - Біофізика

27-09-2002

Specialized Academic Board

Д 64 051 13

Essay

Analytic dependences of oxygen concentration on coordinate for the different malignant tumour forms and for the different model assumptions about dependence oxygen consumption velocity on oxygen concentration have been developed using mathematical modelling of oxygen diffusion and consumption. Basic model parameters have been determined using comparison of model calculations and experimental dates. The oxygen concentration distribution law in the spheroid and flat tumour has been calculated and value of hypoxic cells fraction for these tumours has been computed. Mathematical model of glucose diffusion and consumption in the tumor was worked out. The model takes into account dependence of that processes on tumour cells oxygen degree.

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3.2.1.doc

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3.2.4.doc

3.2.5.doc

3.3.1.doc

3.3.2-3.doc

3.3.4.doc

3.4.1-2.doc

Contents.doc

PerUO.doc

SpLit.doc

Titul.doc

Vstup.doc

Zakl.doc

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