English

Proportion Regulation in Globally Coupled Nonlinear Systems

adap-org 2015-06-30 v1 Adaptation and Self-Organizing Systems

Abstract

As a model of proportion regulation in differentiation process of biological system, globally coupled activator-inhibitor systems are studied. Formation and destabilization of one and two cluster state are predicted analytically. Numerical simulations show that the proportion of units of clusters is chosen within a finite range and it is selected depend on the initial condition.

Keywords

Cite

@article{arxiv.adap-org/9501005,
  title  = {Proportion Regulation in Globally Coupled Nonlinear Systems},
  author = {Tsuyoshi Mizuguchi and Masaki Sano},
  journal= {arXiv preprint arXiv:adap-org/9501005},
  year   = {2015}
}

Comments

11 pages (revtex format) and 5 figures (PostScript).

R2 v1 2026-07-22T07:40:33.543Z