Article

Article title STUDY OF THE GALVANOTAXIS DYNAMICS MATHEMATICAL MODEL FOR MICROBIOTEST DEVELOPMENT
Authors I.S. Zakharov, A.G. Kazantseva, V.Yu. Vishnevetsky
Section SECTION V. DIAGNOSIS OF DIFFERENT ENVIRONMENTS AND PSYCHOPHYSICAL STATE OF A PERSON
Month, Year 04, 2017 @en
Index UDC 534
DOI
Abstract A Studied is a promising new kind of microbiotesting: the dynamics of galvanotaxis of infu-sorians. Explanations are given to this effect, as to the repeated movement of the population of infu-sorians when the polarity of the electrodes is changed. Materials showing the relevance and interest to the method by experts in the field of biotechnology, toxicology and law are presented. The question about the necessity and complexity of the mathematical model for this method is raised. Models reflecting various aspects of galvanotaxis of infusoria are considered, and the range of scientific studies from XIX to XXI centuries is covered. The conclusion is made that it is necessary to create a new model taking into account the former ones, but having a specific microbiota test based on the experiment, with the population movement of infusorians. The experiment has been carried out using a SF-56 spectrophotometer and a cuvette holder to obtain a signal near the electrode. The tasks of creating a model are formulated, and a conclusion is made about the recurrent model. The features of recurrent processes and parameters which allow using them to determine the adequacy of the model and experiment are considered. The principles of the recurrent model are used as the basis for the formulas for calculating the number of particles in the cuvette zones, which made it possible to create several types of computer programs which allowed obtaining a pulse amplitude sequence controlled by the particle transition coefficients. In recurrent simulation of the galvanotaxis dynamics process it was proved that the envelope of the amplitudes retains the function under different influences: with a control model and toxicity, which is adequate to the function obtained in the experiment. It was also verified that the initial particle distributions do not affect the correlation of the envelope function, which is typical for recurrent models. Approaches to the problem of toxicity according to the function of the envelope are proposed.

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Keywords Galvanotaxis; dynamics; infusoria; galvanotaxis model; recurrence; experiment; spectro-photometer; toxicity; impulse functions; amplitude envelopes.
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