Byts O. Mathematical models of the process of organizm adaptation to hipoxia and their analysis.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U002239

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

28-05-2004

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

Thesis proposes new mathematical models of processes of short-, medium- and long-term adaptation to hypoxia. The short-term adaptation model is formulated as a problem of optimal breath system self-regulation. External breath, blood circulation and tissue metabolism are included here. The medium-term adaptation mechanisms concern changes of organism sensitivity to hypoxia and hypercapnia, and there are also re-lated to an efficient organization of tissue metabolism. The long-term adaptation model takes structural-morphological changes in an organism into account. The thesis proposes the algorithm of distribution of a volumetric speed of system circulation between organs and tissues as a result of solving the quadratic programming problem with linear constraints.The applied problems of labour physiology and medicine are considered. The changes of breath system regulation parameters are analysed at a situational loading in the operator's work and at interval hypoxical training. Key words: mathematical modeling, adaptation, self regulation, hypoxia, quadratic programming, interval hypoxical training.

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