stolon

noun

(L. stolo, stolonis: shoot) A long aerial side stem that gives rise to a new daughter plant when the bud at its apex touches the soil. Plants that multiply in this way include blackberry and currant bushes. Gardeners often pin down stolons to the soil to aid the propagation of such plants. This process is termed layering.
A slender tube or column, usually horizontal. In bryozoan Colony (zoarium) structure a slender tube of modified individuals (kenozooids) bearing feeding individuals (autozooids) along its length.