Cell motility plays a crucial role in many physiological processes. Examples include wound healing and cancer cell metastasis. This motility is powered by intracellular mechanisms, thus analysing cell shapes is fundamental to mapping cellular behaviour. I will present a non-linear model for learning the intrinsic low-dimensional structure of cell shape manifolds. I will also discuss a novel extension of the non-linear embedding for reverse mapping of an arbitrary point in the low-dimensional shape space which can be used to traverse the shape manifold and generate synthetic sequences of migrating cells.

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