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
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- EP ID EP521811
- DOI 10.33108/visnyk_tntu2018.04.112
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