Ethological dynamics in diorama environments

In this study, I clarify adaptive capacity for environments in the case that a group is formed by unicellular organisms such as ciliates. When unicellular organisms form a group, motions of cells differ from those of a cell existing alone because of interactions between cells. The interactions can also affect the distributions of cells. Through the motions and distributions, the interactions can affect adaptive capacity for environments. For an instance, one can consider the excluded volume effect due to the property that cells cannot overlap each other. The effect causes unicellular organisms to accumulate on a wall. In this study, I study the issue by a theory of the statistical mechanics. In particular, I examine the extension of the time dependent density functional theory used in the field of liquids. This theory focuses one on the density of particles, instead of each individual particle. Using the theory, one can calculate the time development of the density. I extend this theory by coarse-graining of equations of motion of unicellular organisms. If this theory is extended to apply to the group of unicellular organisms, one can clarify intelligence of unicellular organisms.