A method for creating networks of perfusable microvessels in vitro. A mandrel is drawn through a matrix to form a channel through the matrix. Cells are injected into the channel. The matrix is incubated to allow the cells to attach inside the channel. The channel is perfused to remove unattached cells to create a parent vessel, where the parent vessel includes a perfusable hollow channel lined with cells in the matrix. The parent vessel is induced to create sprouts into the surrounding matrix gel so as to form a microvessel network. The microvessel network is subjected to luminal perfusion through the parent vessel.