Research of Global Attractability of Solutions and Stability of the Immunosensor Model Using Difference Equations on the Hexagonal Lattice

Сверстюк, А. С.

doi:10.20535/ibb.2019.3.1.157644

Cited by 1 publication

(1 citation statement)

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“…Марчука, крім концентрації антигенів та антитіл, враховує популяцію антитілотвірних клітин (плазмоклітин) C , а також ступінь пошкодження органа m . В даній моделі [3][4][5][6][7][8][9][10][11][12][13] в якості збудників захворювання використовуються антигени, які нейтралізовуються антитілами. Рівняння, що визначають математичну модель захворювання Г.І.…”

Section: виклад основного матеріалу та обгрунтування результатів досл...unclassified

Modeling of Physicochemical and Biological Processes Differential Equations

MARTSENYUK¹,

SVERSTIUK²,

BAGRIY-ZAYATS³

et al. 2021

Herald KhmNU

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The approaches to modeling of physicochemical and biological processes of differential equations are explained in the work. The law of radioactive decay, the law of absorption of ionizing radiation by the environment, the law of reproduction of bacteria, the law of dissolution of medicinal substance from a tablet, chemical reactions of the first and second order, mathematical model G.I. Marchuk are resulted, mathematical model of a cyber-physical immunosensory system on a hexagonal lattice using a system of delayed differential equations. The results of mathematical modeling in the form of the results of numerical modeling of the dynamic logic of the cyber-physical immunosensory system are presented. Phase planes, lattice images of the probability of antigen-antibody binding, images of fluorescent pixels, electrical signal from the transducer, which characterizes the number of fluorescent pixels, were obtained. In order to increase the student’s research interest in the study of natural sciences and improve the level of understanding of educational material in the disciplines “Biophysics with physical methods of analysis” and “Higher Mathematics” it is important to inform students about the latest discoveries in this field of knowledge, modern scientific mathematical and physical schools, because it is largely a motivating factor in the formation of future specialists in medicine, pharmacy, biology. Acquainting students with the current results of their own research allows them to be interested in the process of modeling medical and biological processes using differential equations, motivating them to their own research and development of various biosensor devices.

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Section: виклад основного матеріалу та обгрунтування результатів досл...unclassified