Heterarchy in biological systems: A logic-based dynamical model of abstract biological network derived from time-state-scale re-entrant form

Kazuto Sasai, Yukio Gunji

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Heterarchical structure is important for understanding robustness and evolvability in a wide variety of levels of biological systems. Although many studies emphasize the heterarchical nature of biological systems, only a few computational representations of heterarchy have been created thus far. We propose here the time-state-scale re-entrant form to address the self-referential property derived from setting heterarchical structure. In this paper, we apply the time-state-scale re-entrant form to abstract self-referential modeling for a functional manifestation of biological network presented by [Tsuda, I., Tadaki, K., 1997. A logic-based dynamical theory for a genesis of biological threshold. BioSystems 42, 45-64]. The numerical results of this system show different intermittent phase transitions and power-law distribution of time spent in activating functional manifestation. The Hierarchically separated time-scales obtained from spectrum analysis imply that the reactions at different levels simultaneously appear in a dynamical system. The results verify the mutual inter-relationship between heterarchical structure in biological systems and the self-referential property of computational heterarchical systems.

Original languageEnglish
Pages (from-to)182-188
Number of pages7
JournalBioSystems
Volume92
Issue number2
DOIs
Publication statusPublished - 2008 May
Externally publishedYes

Fingerprint

Biological Models
Biological Networks
Biological systems
Dynamical Model
phase transition
Biological Systems
Logic
Evolvability
power law distribution
Spectrum Analysis
Power-law Distribution
Spectrum analysis
Phase Transition
Dynamical systems
Time Scales
Dynamical system
Phase transitions
Verify
Robustness
timescale

Keywords

  • Frame-problem
  • Heterarchy
  • Internal measurement
  • Robustness
  • Self-reference

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Biotechnology
  • Drug Discovery

Cite this

Heterarchy in biological systems : A logic-based dynamical model of abstract biological network derived from time-state-scale re-entrant form. / Sasai, Kazuto; Gunji, Yukio.

In: BioSystems, Vol. 92, No. 2, 05.2008, p. 182-188.

Research output: Contribution to journalArticle

@article{b98d8e2fd0b4445d87a12a2bb1b51778,
title = "Heterarchy in biological systems: A logic-based dynamical model of abstract biological network derived from time-state-scale re-entrant form",
abstract = "Heterarchical structure is important for understanding robustness and evolvability in a wide variety of levels of biological systems. Although many studies emphasize the heterarchical nature of biological systems, only a few computational representations of heterarchy have been created thus far. We propose here the time-state-scale re-entrant form to address the self-referential property derived from setting heterarchical structure. In this paper, we apply the time-state-scale re-entrant form to abstract self-referential modeling for a functional manifestation of biological network presented by [Tsuda, I., Tadaki, K., 1997. A logic-based dynamical theory for a genesis of biological threshold. BioSystems 42, 45-64]. The numerical results of this system show different intermittent phase transitions and power-law distribution of time spent in activating functional manifestation. The Hierarchically separated time-scales obtained from spectrum analysis imply that the reactions at different levels simultaneously appear in a dynamical system. The results verify the mutual inter-relationship between heterarchical structure in biological systems and the self-referential property of computational heterarchical systems.",
keywords = "Frame-problem, Heterarchy, Internal measurement, Robustness, Self-reference",
author = "Kazuto Sasai and Yukio Gunji",
year = "2008",
month = "5",
doi = "10.1016/j.biosystems.2008.02.004",
language = "English",
volume = "92",
pages = "182--188",
journal = "BioSystems",
issn = "0303-2647",
publisher = "Elsevier Ireland Ltd",
number = "2",

}

TY - JOUR

T1 - Heterarchy in biological systems

T2 - A logic-based dynamical model of abstract biological network derived from time-state-scale re-entrant form

AU - Sasai, Kazuto

AU - Gunji, Yukio

PY - 2008/5

Y1 - 2008/5

N2 - Heterarchical structure is important for understanding robustness and evolvability in a wide variety of levels of biological systems. Although many studies emphasize the heterarchical nature of biological systems, only a few computational representations of heterarchy have been created thus far. We propose here the time-state-scale re-entrant form to address the self-referential property derived from setting heterarchical structure. In this paper, we apply the time-state-scale re-entrant form to abstract self-referential modeling for a functional manifestation of biological network presented by [Tsuda, I., Tadaki, K., 1997. A logic-based dynamical theory for a genesis of biological threshold. BioSystems 42, 45-64]. The numerical results of this system show different intermittent phase transitions and power-law distribution of time spent in activating functional manifestation. The Hierarchically separated time-scales obtained from spectrum analysis imply that the reactions at different levels simultaneously appear in a dynamical system. The results verify the mutual inter-relationship between heterarchical structure in biological systems and the self-referential property of computational heterarchical systems.

AB - Heterarchical structure is important for understanding robustness and evolvability in a wide variety of levels of biological systems. Although many studies emphasize the heterarchical nature of biological systems, only a few computational representations of heterarchy have been created thus far. We propose here the time-state-scale re-entrant form to address the self-referential property derived from setting heterarchical structure. In this paper, we apply the time-state-scale re-entrant form to abstract self-referential modeling for a functional manifestation of biological network presented by [Tsuda, I., Tadaki, K., 1997. A logic-based dynamical theory for a genesis of biological threshold. BioSystems 42, 45-64]. The numerical results of this system show different intermittent phase transitions and power-law distribution of time spent in activating functional manifestation. The Hierarchically separated time-scales obtained from spectrum analysis imply that the reactions at different levels simultaneously appear in a dynamical system. The results verify the mutual inter-relationship between heterarchical structure in biological systems and the self-referential property of computational heterarchical systems.

KW - Frame-problem

KW - Heterarchy

KW - Internal measurement

KW - Robustness

KW - Self-reference

UR - http://www.scopus.com/inward/record.url?scp=41549105260&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41549105260&partnerID=8YFLogxK

U2 - 10.1016/j.biosystems.2008.02.004

DO - 10.1016/j.biosystems.2008.02.004

M3 - Article

C2 - 18384932

AN - SCOPUS:41549105260

VL - 92

SP - 182

EP - 188

JO - BioSystems

JF - BioSystems

SN - 0303-2647

IS - 2

ER -