Semchyk T. Mathematical models of the hypoxia course process under infectious diseases, the ischemic heart-disease and their analysis.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002324

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

25-05-2007

Specialized Academic Board

Д26.194.02

Essay

The thesis is devoted to the elaboration of the mathematical, algorithmical and program supply for the computer analysis of the hypoxia course under infectious diseases and the ischemic heart-disease (IHD). The problem of optimal control of the dynamic system described by the complex of mathematical models of the immune response and the functional respiratory system (FRS) under infectious diseases of an organism is solved. The mathematical model of the hypoxia course under the ischemic heart-disease based on the mathematical model of the FRS is carried out and theoretically substantiated. The methods of the computer analysis of the hypoxia course process under the IHD in conditions of the disruption of the ascending artery, arteries of the right and the left atrium, enclosing capillaries of the coronary stream are developed. The role of the left ventricular hypertrophy as an adaptive mechanism to hypoxia using the imitation model is analyzed.

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