Conception of Biologic System: Basis Functional Elements and Metric Properties. (29th April 2014)

• Record Type: Journal Article
• Authors: Davydyan, Garri
• Other Names: Tang Yang Academic Editor.
• Is Part Of: Journal of complex systems. Volume 2014(2014)
• Publication Date: 2014-04-29
• Subjects: System analysis -- Periodicals; Computational complexity -- Periodicals; Coupled problems (Complex systems) -- Periodicals; Systems engineering -- Periodicals; Computational complexity; Coupled problems (Complex systems); System analysis; Systems engineering; Electronic journals; Periodicals; 003
• DOI: 10.1155/2014/693938
• Languages: English
• ISSNs: 2356-7244

Abstract

Abstract : A notion of biologic system or just a system implies a functional wholeness of comprising system components. Positive and negative feedback are the examples of how the idea to unite anatomical elements in the whole functional structure was successfully used in practice to explain regulatory mechanisms in biology and medicine. There are numerous examples of functional and metabolic pathways which are not regulated by feedback loops and have a structure of reciprocal relationships. Expressed in the matrix form positive feedback, negative feedback, and reciprocal links represent three basis elements of a Lie algebrasl ( 2, ℝ ) of a special linear groupSL ( 2, ℝ ) . It is proposed that the mathematical group structure can be realized through the three regulatory elements playing a role of a functional basis of biologic systems. The structure of the basis elements endows the space of biological variables with indefinite metric. Metric structure resembles Minkowski's space-time (+, −, −) making the carrier spaces of biologic variables and the space of transformations inhomogeneous. It endows biologic systems with a rich functional structure, giving the regulatory elements special differentiating features to form steady autonomous subsystems reducible to one-dimensional components.