A numerical study of synchronization in the process of biochemical substance exchange in a diffusively coupled ring of cells

作者：Mihailovic Dragutin T^*; Balaz Igor; Arsenic Ilija

来源：Central European Journal of Physics, 2013, 11(4): 440-447.

DOI：10.2478/s11534-013-0221-5

• active coupling
• logistic equation
• synchronization
• multi-cell system

In this paper we numerically investigate a model of a diffusively coupled ring of cells. To model the dynamics of individual cells we propose a map with cell affinity, which is a generalization of the logistic map. First, the basic features of a one-cell system are studied in terms of the Lyapunov exponent, Kolmogorov complexity and Sample Entropy. Second, the notion of observational heterarchy, which is a perpetual negotiation process between different levels of the description of a phenomenon, is reviewed. After these preliminaries, we study how the active coupling induced by the consideration of the observational heterarchy modifies the synchronization property of the model with N=100 cells. It is shown numerically that the active coupling enhances synchronization of biochemical substance exchange in several different conditions of cell affinity.

• 出版日期2013-4