Table of Contents
Journal of Complex Systems
Volume 2014 (2014), Article ID 693938, 17 pages
http://dx.doi.org/10.1155/2014/693938
Research Article

Conception of Biologic System: Basis Functional Elements and Metric Properties

Appletree Medical Group, 1902 Robertson Road, Ottawa, ON, Canada K2H 7B3

Received 21 May 2013; Accepted 16 October 2013; Published 29 April 2014

Academic Editor: Yang Tang

Copyright © 2014 Garri Davydyan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 algebra of a special linear group . 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.