Self-Organized Criticality, avalanche, peristaltic wave model, forest fire, simple animals.
The present work presents a Self-Organized Critical Energy (SOC) model created to explain the spontaneous collective activity in a given animal tissue without the need for a muscular control or Central Nervous System (CNS). This prototype model is similar to a cuboidal epithelial tissue formed by a single layer of cells, such as the internal digestive cavity of some primitive animals. The tissue is composed of cells that absorb nutrients and store energy, with probability p, to participate in a collective tissue motion. Each cell can be in two states: the high-energy state able to become active or low in metabolic and at rest. Any cell can be activated spontaneously, with a very low probability, of propagating a collective activity with its neighbors that share a minimum of energy. The tissue cells that participate in the oscillation consume all their energy. The relation of the power law P (s) α sγ, for the probability of having a collective motion S with the cells is observed. The construction of this model is analogous to the Forest fire SOC model. This approach naturally produces a critical state for the oscillation of the animal tissue, in addition to explaining the self-sustaining activities in a living animal tissue without feedback control.