Cyber-physical model of the immunosensor system in a rectangular lattice with the use of lattice difference equations of population dynamics

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

Analysis of stress intensity factors obtained with the fem for surface semielliptical cracks in the zones of structural stress concentrators

In the given article the analysis of stress intensity factors (SIF) for semielliptical surface cracks in low-alloy steel using the finite element method was conducted. The results of the distribution of stress intensity...

The comparative analysis of mathematical models of cyclic signals structure and processes

The article deals with the comprehensive research of the possibilities, perspectives and efficiency of the application of the popular mathematical models of cyclic signals and processes on the basis of mathematical suppo...

Determination of the structural steels damage kinetics under non-stationary loading

The article presents adapted techniques which make possible to assess the damage of steels at high cyclic fatigue under the amplitudes varying according to the random law. The method for material damage assessment is bas...

Finite elements method in problems of lime lixiviation from the concrete bases of hydro technical constructions

The ecological, economical and technogenic safety of the state and region is connected with the hydro–technical constructions operation fail-safety. One of the prediction methods, which does not need expensive experiment...

Evaluation of fire resistance of structural elements considering nonlinearity of deformation processes during fire

A mathematical model for quantitative description of thermomechanical processes in structural elements under fire was proposed, with taking into account an elastic-plastic deformation and temperature dependence of materi...

Download PDF file
  • EP ID EP521811
  • DOI 10.33108/visnyk_tntu2018.04.112
  • Views 91
  • Downloads 0

How To Cite

Andriy Sverstiuk (2018). Cyber-physical model of the immunosensor system in a rectangular lattice with the use of lattice difference equations of population dynamics. Вісник Тернопільського національного технічного університету, 92(4), 112-125. https://europub.co.uk/articles/-A-521811