Sequence of bifurcations in an 'antigen-antibody' reaction.
The aperiodically singularly disturbed system of ordinary differential equations describing the process of the formation of the antibody complex initiated by antigen binding was analysed. The numerical and analytical examinations showed that there are solutions which correspond to primary Hopf bifurcation and subsequent finite number of Feigenbaum's period-doubling bifurcations. The last leads to chaotization of the system.
Grushevskaja
G V
GV
Department of Physics, Belarusian State University, Minsk, Belarus.
Khmelnitsky
A I
AI
D000937:Antigen-Antibody Reactions; D008432:Mathematical Computing; D018448:Models, Immunological