The antigen-antibody interaction algebraically interpreted as a relational process.

Biosystems

Department of Mathematics, Faculty of Exact and Natural Sciences, University of Buenos Aires, Argentina.

Published: January 1993

The antigen-antibody interaction occurring previous to the triggering of the immunological response is analyzed as a relational process in terms of lattices. Accordingly, this process is expressed as a lattice belonging to a pseudo-Boolean algebraic variety. The Heyting arrow operation, which appears in this kind of algebra, is used to analyze behaviors between non-comparable biological states expressed by the lattice. The resulting states coming from the arrows are connected with the influence of increasing and decreasing energies involved in the linking process.

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http://dx.doi.org/10.1016/0303-2647(92)90051-yDOI Listing

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