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  4. 2019
  5. VOL 41, NO 1 (2019)
  6. pp. 105-118

NUMERICAL ANALYSIS OF THE CYBER-PHYSICAL MODEL OF THE IMMUNOSENSOR IN A RECTANGULAR GRID BASED ON LATTICE DIFFERENCE EQUATIONS

A.S. Sverstiuk

Èlektron. model. 2018, 41(1):105-118
https://doi.org/10.15407/emodel.41.01.105

ABSTRACT

A numerical analysis of the stability of the cyber-physical model of the immunosensor on a rectangular grid using lattice differential equations has been carried out. A class of lattice difference equations with delay was proposed for modeling the interaction of antigen-antibody within immunopixels. The spatial operator used, simulates the interaction between immunopixels like diffusion phenomena. In the study of the cyber-physical model of the immunosensor, the electrical signal characterizes the number of immunopixel cells in which the fluorescence phenomenon occurs. Such an approach is of great importance from the point of view of the development of cyber-physical immunosensory systems. The obtained experimental results provide a complete analysis of the stability of the immunosensor model taking into account the delay in time.

KEYWORDS

cyber-physical immunosensor system, immunosensor, differential differential equations with delay.

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