Cyber-physical model of the immunosensor system in a rectangular lattice with the use of lattice difference equations of population dynamics
Journal Title: Вісник Тернопільського національного технічного університету - Year 2018, Vol 92, Issue 4
Abstract
The article developed a cyber-physical model for immunosensory systems. The main attention is paid to the mathematical description of the discrete dynamics of populations in combination with dynamic logic, which is used for discrete events. A class of solvable differential equations with time delay was introduced for modeling the interaction of antigen-antibodies within immunopicles. A spatial operator was used that simulates the interaction between immunopicles similar to the diffusion phenomenon. The paper presents the results of numerical simulation in the form of images of phase planes of the immunosensor model for antibody populations, with respect to antigenic populations. The experimental results obtained make it possible to analyze the stability of the model under consideration, taking into account the time delay.
Authors and Affiliations
Andriy Sverstiuk
Keywords
Related Articles
- EP ID EP521811
- DOI 10.33108/visnyk_tntu2018.04.112
- Views 94
- Downloads 0
Synthesis of digital radio receiver system for secure communication with frequency-hopping spread spectrum
It was represented the results of synthesis and modeling of work of digital receiver based on the digital down converter (DDC), and a digital signal processor (DSP), which are used to process received signals. The method...
Analytical and simulation modeling of the impact of vehicles on the ecological situation in ukraine and the ways of its improving
A mathematical model, which determines the amount of fuel dependence for a period of time from the life of the total vehicle fleet of the Ukrainian population; the ratio of the number of different power classes of vehicl...
Constructive damping in the conical holder with an elastic filler
Operation of all machines and mechanisms is directly related to arising of vibrations. In the majority of cases vibrations worsen durability, reliability and longevity of industrial machines, mechanisms and buildings; th...
Destruction zone near the tip of interfacial crack at a prevailing tensile loading
Under the plane strain conditions at the prevailing tensile loading by Wiener-Hopf method the solutions of problems about the calculation of a small-scale destruction zone in the pre-fracture zone part, which is adjacent...
Results of experimental investigations on finding the torque change of the safety clutch action
Screw conveyors have been widely applied for transporting bulk and lump cargo in various productions processes. However, while transporting jamming of screw operating unit is possible by caused the gap between the screw...