Autowave processes in a distributed chemical system.
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Biomedical subjects
Publications and source records attributed to A N Zaikin.
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Experimental and theoretical results of some studies by L. A Lapaeva are analysed which state that the dependence of electroconductance on the frequency of applied voltage in some globular protein solutions is of a resonance character in the frequency range of 0,1 minus 10 mHz. The evaluation shows that the theory suggested is not applicable for the results obtained at these frequencies. The measurement method of electroconductance applied by L. A. Lapaeva is critisized. The analysis of her results enables a conclusion that is is premature to speak about resonance properties of proteins as of the fact stated.
Using peculiarities of oxidative-rastorative catalytic reactions the system of nonlinear differential equations has been obtained. Pecularities of the behaviour of the system on phase plane of variables at different parameters are considered. The system may be autooscillative, trigger, waiting. Problems of model application in membrane, quantum, enzymatic systems are discussed.
The regime of excitation propagation in monomeric model of active medium is considered. Conditions exist when the phase plane falls into two regions in both of which the equations are linear and their automodel solutions are found analytically. After connecting the solutions a transcendental algebraic equation is obtained, from which the values of excitation propagation rate can be found. The trigger wave has one rate value the propagating impulse--two (physically realised--one). There is a parameter region with four rates (three physically realised ones).
Effects are considered which appear during impulse propagation along the active line, some elements of which are converted from the expecting regime to the trigger one. At the set length of the non-uniformity the critical value of the parameter exists, up to which the propagating impulse "takes no notice" of the trigger region. When the parameter values are higher than the critical value, the trigger region starts to generate the propagating impulses. In pathological working regimes of biological excitable media such non-uniformity may induce fibrillation.
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