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
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...
Stress distribution in an infinite orthotropic plate with partly reinforced elliptical contour
The work presents approximate solution of the problem of partial reinforcement of elliptical aperture contour in an infinite orthotropic plate with elastic edge whose bonding surface with the plate does not coincide with...
Simulation of temperature field in a partially delaminated thermal barrier coating
The problem of determining temperature in a thin partially delaminated thermal barrier coating is considered taking into account the convective heat exchange with the surrounding environment at the front and end surfaces...
Transmission of torque from the system of a hard stamps to the contour of a circular hole in an infinite plate
Contact interaction of hard stamps with angular points and massive elastic bodies with circular cylindrical holes is investigated in this article. Refined interaction model considers the initial difference of curvature o...
Influence of boron on forming efficient structure of rolled steel and increase its technological plasticity at drawing
The features of the influence of alloying of boron on the structure and formation of complex qualitative indicators of rolled steel out high-carbon steels are showed. The mechanism of action microalloying boron additives...