Conception of Biologic System: Basis Functional Elements and Metric Properties

@article{Davydyan2014ConceptionOB,
  title={Conception of Biologic System: Basis Functional Elements and Metric Properties},
  author={Garri Davydyan},
  journal={Journal of Complex Systems},
  year={2014},
  volume={2014},
  pages={1-17}
}
  • G. Davydyan
  • Published 29 April 2014
  • Mathematics
  • Journal of Complex Systems
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… 
Carcinogenesis: alterations in reciprocal interactions of normal functional structure of biologic systems
  • G. Davydyan
  • Biology
    EURASIP J. Bioinform. Syst. Biol.
  • 2015
TLDR
The structure and specific role of basis elements comprising four-dimensional linear space of split quaternions help to understand what changes in mechanism of cell differentiation may lead to cancer development.
Feedback patterns in simulating intestinal wall motions: interdisciplinary approach to the motility mechanisms
TLDR
Qualitative analysis of dynamical models using myogenic active property of smooth muscles has shown well agreement with physiologic data, and it was shown that besides negative feedback, other functional patterns, namely positive feedback and reciprocal links are involved in regulations of filling-emptying cycle.
The algebraic structure of the SU(7) Lie group
In recent years, the Lie group SU(7) has been featured prominently in a number of grand unification proposals involving the Standard Model as a low energy effective theory. This note investigates the…

References

SHOWING 1-10 OF 39 REFERENCES
Theory of Functional Systems and Human General Pathology
TLDR
These theses broaden the application of the theory of functional systems as the fundamental basis for studies of informational mechanisms of vital activity under normal and pathological conditions.
Positive and negative feedback: striking a balance between necessary antagonists.
TLDR
This article gives a demonstration based on degree theory for vector fields of the conjecture, made by RenΓ© Thomas, that the presence of positive feedback circuits is a necessary condition for autonomous differential systems, covering a wide class of biologically relevant systems, to possess multiple steady states.
A principle of natural self-organization
TLDR
An analysis of experimental data regarding RNA and DNA replication at various levels of organization reveals, that a sufficient amount of information for the build up of a translation machinery can be gained only via integration of several different replicative units (or reproductive cycles) through functional linkages.
The combination of positive and negative feedback loops confers exquisite flexibility to biochemical switches.
TLDR
A canonical model of a protein-protein interaction network is formulated and the dynamics of a prototypical two-component circuit are analyzed to suggest an efficient mechanism by which positive and negative feedback loops cooperate to drive the flexible and multifaceted switching behaviors arising in biological systems.
Introduction to Cybernetics.
Abstract : This book contains the collected and unified material necessary for the presentation of such branches of modern cybernetics as the theory of electronic digital computers, theory of…
Geometrical Methods of Mathematical Physics
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics…
Ultra short-loop feedback control of thyrotropin secretion.
TLDR
The thyrotropin receptor (TSHR) is found on folliculo-stellate cells in the pituitary, which are known to influence the neighboring endocrine cells, and is thought to be responsible for the frequently observed suppressed TSH levels in patients with Graves' disease who are otherwise euthyroid.
Linear Algebra and Geometry
Part 1 Linear spaces and linear mappings: linear spaces basis and dimension linear mappings matrices subspaces and direct sums quotient spaces duality the structure of a linear mapping the Jordan…
Ordinary Differential Equations
Foreword to the Classics Edition Preface to the First Edition Preface to the Second Edition Errata I: Preliminaries II: Existence III: Differential In qualities and Uniqueness IV: Linear Differential…
...
...