Emergent properties of coupled enzyme reaction systems 1. Switching and clustering behaviour

The dynamics of locally and globally coupled cells that convert a substrate to a product via an uncompetitive substrate-inhibition mechanism is studied. When the cell-cell coupling strength is below a threshold value, the coupled system exhibits a large number of steady states; however, all cells cluster to one state when coupling exceeds the threshold value. The coupled system also exhibits a buffering capacity that maintains low and almost constant intracellular and extracellular substrate levels; however, there exists a threshold value on the influx rate of extracellular substrate beyond which the system switches to higher substrate levels. This transition becomes sharper as the number of coupled cells increases. Propagation failure of concentration fronts between adjacent cells is also exhibited by the system.