Chernyak M. The nonlinear dynamical model of immune response in open conditions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U000071

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

30-12-2002

Specialized Academic Board

Д 26.191.01

Bogolybov Institute for Theoretical Physics of NASU

Essay

3. In a thesis the nonlinear appearances in immune system are studied. This system are far from a state of a thermodynamic equilibrium.The mathematical model of the immune system is described by the system of 12 nonlinear differential equations two from which are integrals of motion, that decrease dimension of the system up to 10. At such regimes the role of subsystems, components of subsystems, cooperation and conformity of subsystems in organization of the immune response is studied. The special attention in a thesis is given to learning the phase portraits of the system and their characteristics: to calculation of points of bifurcations, type of attractors, calculation of their periods and intervals of a structural stability, research of chaos states. Practical value such researches underlies designing of optimum regimes and look aheads of the most approaching paths of stability and survival of self-organized systems.

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