On Application of Latticed Differential Equations with a Delay for Immunosensor Modeling

Martsenyuk, V. P.; Andrushchak, Igor; Zinko, Petr N.; Сверстюк, А. С.

doi:10.1615/jautomatinfscien.v50.i6.50

Cited by 8 publications

(4 citation statements)

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“…This can be used for both good (blocking malicious sites) and bad purposes (fraud, hacking devices). Programmers of Google, Mozilla, Cloudflare and several companies sharply criticized the processes of interception of HTTPS traffic by antiviruses and network filters [6].…”

Section: Methods Of Infectionmentioning

confidence: 99%

Components of viruses and antivirus software in modern information security.

Andrushchak¹,

Yashchuk²,

Koshelyuk³

2022

cit

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In fact, in today's conditions of continuous innovative development of technologies, in the field of programming, computer networks and the Internet, the dark side of progress continues to grow at great rates: virus software. As a result, in this article we will try to focus on all aspects of the fight against viruses: prevention of infection, methods of detecting malicious programs, their destruction, as well as elimination of consequences. To do this, we conducted research and study of the main scientific sources on this topic and statistical data. As a result, this article focuses on different types of viruses and analyzes the methods of their classification, detection and destruction.

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Section: Methods Of Infectionmentioning

confidence: 99%

Components of viruses and antivirus software in modern information security.

Andrushchak¹,

Yashchuk²,

Koshelyuk³

2022

cit

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“…Cell biosensors can be used to quantify the infection of an organism with certain electrochemical or optical phenomena. The article [8] describes a cellular biosensor that uses electrochemical impedance spectroscopy. This biosensor is intended for counting human CD4 + cells.…”

Section: Analysis Of the Problem And The Existing Methodsmentioning

confidence: 99%

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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“…Algorithms and methods for processing measurement parameters in the CPS of medical and biological processes using Big Data are created on the basis of their mathematical models. Mathematical models of biosensors for CPBSS on rectangular lattice using lattice differential equations with delay have been developed [10,11].…”

Section: Introductionmentioning

confidence: 99%

Podejście Do Rozwoju Cyberfizycznych Systemów Procesów Medycznych I Biologicznych

SVERSTIUK¹,

BAHRII-ZAIATS²,

KLOS-WITKOWSKA³

et al. 2021

Przetwarzanie, Transmisja I Bezpieczeństwo Informacji

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Praca koncentruje się na opracowaniu systemu Big Data pozwalającego na inteligentne przetwarzanie danych medycznych, które są pozyskiwane z różnych źródeł i różnego typu. Artykuł oferuje opis matematyczny dynamiki dyskretnej populacji w połączeniu z dynamiczną logiką badanych modeli najbardziej zaawansowanych biosensorów, takich jak macierze biopikseli, które są wykorzystywane na etapie analitycznym naukowego uczenia maszynowego. Uzyskuje się wyniki symulacji komputerowej modeli matematycznych CPS procesów medycznych i biologicznych w postaci obrazów antygenów, przeciwciał, połączeń antygenów z przeciwciałami, pikseli fluorescencyjnych.

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On Application of Latticed Differential Equations with a Delay for Immunosensor Modeling

Cited by 8 publications

References 0 publications

Components of viruses and antivirus software in modern information security.

Components of viruses and antivirus software in modern information security.

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

Podejście Do Rozwoju Cyberfizycznych Systemów Procesów Medycznych I Biologicznych

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