Abstract
In living cells, many biochemical processes are spatially organized: they have a location, and often a direction, in cellular space. In the hands of Peter Mitchell and Jennifer Moyle, the chemiosmotic formulation of this principle proved to be the key to understanding biological energy transduction and related aspects of cellular physiology. For H. E. Huxley and A. F. Huxley, it provided the basis for unravelling the mechanism of muscle contraction; and vectorial biochemistry continues to reverberate through research on cytoplasmic transport, motility and organization. The spatial deployment of biochemical processes serves here as a point of departure for an inquiry into morphogenesis and self-organization during the apical growth of fungal hyphae.