[HTML][HTML] Infectious disease model generalization based on diffuse perturbations under conditions of body's temperature reaction

A Bomba, S Baranovsky, O Blavatska… - Computers in Biology …, 2022 - Elsevier
The infectious disease mathematical model is generalized based on the influence of diffuse
perturbations on the development of the disease under conditions of the body's temperature …

[HTML][HTML] Nonlinear analytics for electrochemical biosensor design using enzyme aggregates and delayed mass action

V Martsenyuk, A Klos-Witkowska, S Dzyadevych… - Sensors, 2022 - mdpi.com
The paper is devoted to the extension of Brown's model of enzyme kinetics to the case with
distributed delays. Firstly, we construct a multi-substrate multi-inhibitor model using discrete …

[PDF][PDF] Intelligent Big Data System Based on Scientific Machine Learning of Cyber-physical Systems of Medical and Biological Processes.

VP Martsenyuk, A Klos-Witkowska, A Sverstiuk… - CMIS, 2021 - ceur-ws.org
The work focuses on developing a Big Data system allowing us to process medical data
intelligently, which are ingested from different sources and of various types. It aims to design …

CYBER-PHYSICAL MODEL OF THE IMMUNOSENSOR SYSTEM AT THE HEXAGONAL LATTICE WITH THE USE OF DIFFERENCE EQUATIONS OF THE …

V Martsenyuk, A Sverstiuk - СУЧАСНИЙ СТАН НАУКОВИХ …, 2019 - itssi-journal.com
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 …

[HTML][HTML] Stability analysis of delayed age-structured resource-consumer model of population dynamics with saturated intake rate

VV Akimenko - Frontiers in Ecology and Evolution, 2021 - frontiersin.org
This article studies nonlinear n-resource-consumer autonomous system with age-structured
consumer population. The model of consumer population dynamics is described by a …

[PDF][PDF] Software Complex in the Study of the Mathematical Model of Cyber-Physical Systems.

VP Martsenyuk, A Sverstiuk, O Bahrii-Zaiats, Y Rudyak… - ICTES, 2020 - academia.edu
The paper describes the mathematical description of the discrete population dynamics in
combination with the dynamic logic of the studied models. The lattice difference equations …

Lattice dynamical systems in the biological sciences

X Han, PE Kloeden - Modeling, stochastic control, optimization, and …, 2019 - Springer
This chapter focuses on dynamical behavior of lattice models arising in the biological
sciences, in particular, attractors for such systems. Three types of lattice dynamical systems …

Approach to the study of global asymptotic stability of lattice differential equations with delay for modeling of immunosensors

VP Martsenyuk, AS Sverstiuk… - Journal of Automation …, 2019 - dl.begellhouse.com
Consideration is given to the model of immunosensor based on a system of lattice
differential equations with delay. The main result of the work is the conditions for the global …

Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations

V Martsenyuk, A Klos-Witkowska… - … Conference on Difference …, 2018 - Springer
We consider the delayed antibody-antigen competition model for two-dimensional array of
biopixels x_ i, j (n+ 1) &= x_ i, j (n)\exp\big {β-γ y_ i, j (nr)-δ _x x_ i, j (nr)\big\}+ ̂ S\left {x_ i, j …

Numerical analysis of results simulation of cyber-physical biosensor systems

V Martsenyuk, A Klos-Witkowska, A Sverstiuk… - CEUR Workshop …, 2019 - elibrary.ru
The article deals with the comparative analysis of the results of numerical modeling of
mathematical models of cyber-physical biosensor systems on hexagonal and rectangular …