[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 …
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
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 …
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.
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
mathematical models of cyber-physical biosensor systems on hexagonal and rectangular …