Принципи, Методи Та Галузі Медико-Біологічних Застосувань Оптичних Імуносенсорів

Martseniuk, V. P.; Kłos-Witkowska, Aleksandra; Сверстюк, А. С.; Bihunyak, T. V.

doi:10.11603/mie.1996-1960.2018.2.9289

Cited by 4 publications

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“…Biosensors are an alternative to well-known measurement methods that are characterized by poor selectivity, high cost, poor stability, slow response, and can often be performed only by the highly trained personnel. This is a new generation of sensors that use biological material in a design that provides very high selectivity and allows you to quickly and simply measure [6], [7].…”

Section: Analysis Of the Problem And The Existing Methodsmentioning

confidence: 99%

“…No. 1 (7) on the fluorescence phenomenon. Immunosensors [9] are a subgroup of biosensors, in which the immunochemical reaction is associated with the transducer.…”

Section: Analysis Of the Problem And The Existing Methodsmentioning

confidence: 99%

“…2019. № 1 (7) ISSN 2524-2296 (online) blood and to identify quantitative parameters in some pharmaceutical formulations. In the article [10] the general structure of CPSS is proposed.…”

Section: Fig 1 Functional Scheme Of Cpissmentioning

confidence: 99%

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Cyber-Physical Model of the Immunosensor System at the Hexagonal Lattice With the Use of Differential Equations of the Population Dynamics

Martsenyuk

Сверстюк

2019

Innovative Technologies and Scientific Solutions for Industries

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The subject matter of the study is a model of cyber-physical immunosensory systems. The goal of the work is to create and to study the stability of the cyber-physical model of the immunosensory system at the hexagonal lattice using difference equations. The following tasks are solved in the article: development of functional scheme and cyber-physical model of immunosensory system; creation of discrete dynamics of the studied system; development of dynamic logical simulation of the cyber-physical immune system; definition of permanent states for studying the stability of a model of an immunosensor at the hexagonal lattice; the analysis of the results of numerical simulation of the cyber-physical model of the immunosensory system in the form of image of phase planes, the probability of contact of antigens with antibodies, lattice images of the probability of antibody bonds and an electron signal from the converter, that characterizes the number of fluorescing pixels. The following methods are used: methods of mathematical statistics and random processes, methods of the theory of optimization and operations research. The following results were obtained: The cyber-physical model of the immunosensory system at the hexagonal lattice using the difference equations that takes into account the presence of colonies of antigens and antibodies localized in pixels as well as the diffusion of colonies of antigens between pixels was developed. Discrete dynamics of populations in conjunction with dynamic logic is described. A class of delay time difference equations was introduced to simulate the interaction of "antigen-antibody" in the pixels of the immunosensor. The stability of the cyber-physical model of the immunosensory system with the help of the R package is researched. The results of numerical simulation in the form of phase planes image, the probability of contact of antigens with antibodies, lattice images of the probability of antibody bonds and an electron signal from the converter, that characterizes the number of fluorescing pixels, are obtained. The identical and endemic stable states of the cyber-physical model of the immunosensory system at the hexagonal lattice using differential equations of population dynamics are proposed. Conclusions: The numerical simulation of the developed cyber-physical model of the immunosensory system was conducted. It is established that its qualitative behavior significantly depends on the time of the immune response r. An electrical signal, modeled by the number of fluorescent immunopips, is important in the design of cyberphysiological immunosensory systems and studies of their resilience. Limit cycle or steady focus determine the appropriate form of immunosensory electrical signal. The conclusion on the stability of immunosensors is based on the grid image of the pixels that are fluorescing. The obtained experimental results allowed to perform a complete analysis of the stability of the immunosensor model, taking into account the delay in time.

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Section: Analysis Of the Problem And The Existing Methodsmentioning

confidence: 99%

“…No. 1 (7) on the fluorescence phenomenon. Immunosensors [9] are a subgroup of biosensors, in which the immunochemical reaction is associated with the transducer.…”

Section: Analysis Of the Problem And The Existing Methodsmentioning

confidence: 99%

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Cyber-Physical Model of the Immunosensor System at the Hexagonal Lattice With the Use of Differential Equations of the Population Dynamics

Martsenyuk

Сверстюк

2019

Innovative Technologies and Scientific Solutions for Industries

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“…За допомогою біосенсорів проводять швидкі та прості вимірювання з високою селективністю і точністю [1]. Біосенсори характеризуються високою ефективністю і широко використовуються у харчовій промисловості [2], при захисті навколишнього середовища [3], в оборонній промисловості [4], але найчастіше їх застосовують у медицині [5][6][7][8] як інструмент для постановки діагнозів. У цілому сімейство біосенсорів ділиться на дві групи.…”

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

Сверстюк¹

2019

Innov Biosyst Bioeng

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Modeling of the Cyber-Physical Immunosensor System in the Rectangular Lattice by Using Lattice Differential Equations With Delay

Sverstiuk¹

2019

SEMST

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Тернопільский державний медичний університет імені І. Я. Горбачевського, кафедра медичної інформатики, вул. Руська, 12, Тернопіль, 46022, Україна МОДЕЛЮВАННЯ КІБЕРФІЗИЧНОЇ ІМУНОСЕНСОРНОЇ СИСТЕМИ НА ПРЯМОКУТНІЙ РЕШІТЦІ З ВИКОРИСТАННЯМ РЕШІТЧАСТИХ ДИФЕРЕНЦІАЛЬНИХ РІВНЯНЬ ІЗ ЗАПІЗНЕННЯМ А. С. Сверстюк Анотація. Стаття присвячена проблемі розробки нових математичних і обчислю-вальних засобів для отримання та аналізу результатів чисельного моделювання при проек-туванні кіберфізичних імуносенсорних систем. Розроблено математичну та комп'ютерну моделі кіберфізичної імуносенсорної системи на прямокутній решітці з використанням решітчастих диференціальних рівнянь із запізненням. Для моделювання дискретних подій використано динамічну логіку першого порядку. Представлено результати чисельного моделювання досліджуваної моделі у вигляді зображення фазових площин, решітчастих зображень ймовірності зв'язків антигенів з антитілами та елекричного сигналу з перетво-рювача, який характеризує кількість флуоресціюючих пікселів. Ключові слова: комп'ютерне моделювання-кіберфізична система-імуносенсор-на система-диференціальні рівняння із запізненням-прямокутна решітка

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Принципи, Методи Та Галузі Медико-Біологічних Застосувань Оптичних Імуносенсорів

Cited by 4 publications

References 0 publications

Cyber-Physical Model of the Immunosensor System at the Hexagonal Lattice With the Use of Differential Equations of the Population Dynamics

Cyber-Physical Model of the Immunosensor System at the Hexagonal Lattice With the Use of Differential Equations of the Population Dynamics

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

Modeling of the Cyber-Physical Immunosensor System in the Rectangular Lattice by Using Lattice Differential Equations With Delay

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