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

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  • EP ID EP521811
  • DOI 10.33108/visnyk_tntu2018.04.112
  • Views 90
  • 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