Proportion Regulation in Globally Coupled Nonlinear Systems
arXiv:adap-org/9501005 · doi:10.1103/PhysRevLett.75.966
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.
11 pages (revtex format) and 5 figures (PostScript).
Cited by in corpus (9)
- Turing patterns in network-organized activator-inhibitor systems
- Turing patterns on networks
- Lattice Boltzmann study of pattern formation in reaction-diffusion systems
- Turing patterns on discrete topologies: from networks to higher-order structures
- Minimal Model for Stem-Cell Differentiation
- Dynamical phase separation on rhythmogenic neuronal networks
- Requirements for efficient cell-type proportioning: regulatory timescales, stochasticity and lateral inhibition
- Turing Pattern with Proportion Preservation
- Regulative Differentiation as Bifurcation of Interacting Cell Population