Formation of pattern in regenerating tissue pieces of Hydra attenuata: I. Head-body proportion regulation

The precision with which an almost uniform sheet of hydra cells develops into a complete animal was measured quantitatively. Pieces of tissue of varying dimensions were cut from the body column of an adult hydra and allowed to regenerate. The regenerated animals were assayed for number of heads (hypostomes plus tentacle rings), head attempts (body tentacles), and basal discs. To ascertain whether the head and body were reformed in normal proportions, the average number of epithelial cells in the heads and bodies was measured. Pieces of tissue, from $\text{1}\text{2}$ to $\text{1}\text{20}$ an adult in size, formed heads that were a constant fraction of the regenerate. Thus, over a 10-fold size range, a proportioning mechanism was operating to divide the tissue into head area and body area quite precisely, but appeared to reach limits at the extremes of the range. However, the regenerates were not all normal miniatures with one hypostome and one basal disc. As the width-length ratio of the cut piece was increased beyond the circumference-length ratio of the intact body column, the incidence of extra hypostomes in the “head” and body tentacles and extra basal discs in the “body” rose dramatically. A proportioning mechanism based on the Gierer-Meinhardt model for pattern formation is presented to explain the results.