The movement of slime-mold amoebae under isotropic conditions in two dimensions is represented as a Correlated Walk with straight steps of variable length. The steps are correlated via the angle theta turned through from step to step. The hypotheses and predictions of the model compare favourably with experimental data for Dictyostelium discoideum amoebae.

The spatial trajectories of human granulocytes moving on glass in two dimensions under an isotropic medium may be characterized as realizations of a correlated walk. The present model is similar to an earlier one for slime-mold amebae. The correlation from step to step is essentially via the relative angle theta, represented for granulocytes as a random variable with a symmetric bimodal density. As the cells age, they appear to turn less and the degree of correlation increases. Even under chemotaxis the angle theta and the step length r appear to be statistically independent.

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