Model for a self-repairing system of non-articulated coralline algae

Abstract

We propose a perspective for living systems, emphasizing that living systems are organized through the recognition of themselves and their surroundings. Oscillator functions in Brownian Algebra are introduced, supposing that the oscillation can be regarded as metabolism of the living state. We illustrate the idea of the self-repairing model in non-articulated coralline algae. Since various cells of this plant are assumed to be identified with the periodic sequence of oscillations, the individual periodic sequence characterizing a cell is supposed to be determined by a local-interaction rule which can be regarded as the process of self-organization through the recognition of local shape. Owing to accidental injury the rule characterizing a cell's own state can be transformed, and it entails another periodic sequence. We express the oscillator as state flow diagrams, and analyze the relationship between the transformation of the period and the injury which is represented by the removal of transient in flow diagrams.