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Model of the immunosensor on the basis of difference equations on a hexagonal lattice

Sverstiuk A.1
1 Ternopil Medical State University named I. Gorbachevsky

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UDC: 602.1:519.85:53.082.9:616-07
Publication Language: Ukrainian
Stuc. intelekt. 2018; 23(3):132-140

Abstract: The model of the immunosensor, which is based on the system of difference equations on a hexagonal lattice, is proposed in the paper. A class of solvable differential equations with time delay was introduced for modeling the interaction of antigen-antibodies within immunopicles. The construction of the model is based on a number of biological assumptions about the interaction of colonies of antigens and antibodies, as well as the diffusion of antigens. To describe the discrete spaces in the space of the colonies localized in the corresponding pixels, the apparatus of difference differential equations on a hexagonal lattice is used.

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