On the Swimming of $\mathit{\text{Dictyostelium}}$ amoebae

Traditionally, the primary mode for locomotion of amoeboid cells was thought to be crawling on a substrate. Recently, it has been experimentally shown that $\mathit{\text{Dictostelium}}$ amoeba and neutrophils can also swim in a directed fashion. The mechanisms for amoeboid crawling and swimming were hypothesized to be similar. In this letter, we show that the shape changes generated by a crawling $\mathit{\text{D.}}\mathit{\text{discoideum}}$ cell are consistent with swimming.