The plasmodium of the unicellular slime mould Physarum polycephalum forms an extended vascular network in which protoplasm is transported through the giant cell due to peristaltic pumping. The flow in the veins is always parabolic and it performs shuttle streaming, i.e., the flow reverses its direction periodically. However, particles suspended in the protoplasm are effectively and rapidly distributed within the cell. To elucidate how an effective mixing can be achieved in such a microfluidic system with Poiseuille flow, we performed micro-particle imaging velocimetry experiments and advected virtual tracers in the determined time-dependent flow fields. Two factors were found to be crucial for effective mixing: (i) flow splitting and flow reversals occurring at junctions of veins and (ii) small delays in the reversals of flows in the veins at a junction. These factors enhance the distribution of fluid volumes and hence promote mixing due to chaotic advection. From the residence time distributions of particles at a junction, it is estimated that about 10% of the volume is effectively redistributed at a junction during one period of the shuttle streaming. We presume that the principles of mixing unravelled in P. polycephalum represent a promising approach to achieve efficient mixing in man-made microfluidic devices. Figure 1. Network of tubular veins in the plasmodium of P. polycephalum strand HU195 × HU200. The cell extends and propagates to the right. The dense apical front (at the right) gives way to a vast network of tubular stands, where protoplasm is transported by peristalsis. Dimensions: 6.14 × 4.60 cm 2 .can be adapted to the situation in P. polycephalum. By contrast to linear veins, in branched hemo-dynamic flow networks, there are feedbacks between the local pressures generated by the contraction of the veins, the flow velocity of protoplasm, and the compliance of the veins (i.e., the increase in their diameter) [11]. This leads to phase shifts between the flows that emanate from (and lead to) a junction of veins.Several models have been put forward to describe the interplay between the cellular mechanics of the vein and the peristaltic flow [8,12,13]. These models all rely on a coupling between the underlying biochemical (driving) system, that is coupled to cell and fluid mechanics. These models have sparked a novel interest in studying the mechanical properties of P. polycephalum [14].The vein network of P. polycephalum forms regular graphs, i.e., graphs with a unique node degree k = 3 [1, 2]. The vein segments have different thicknesses and lengths [1,2] in order to provide for an optimized transport of protoplasm through the cell [15,16]. With respect to transport efficiency, the architecture of these networks is hierarchic and self-similar [16]. Furthermore, the networks are highly adaptive [1,2,15], and an originally dense network may coarsen with time [1,2,[15][16][17][18]. In the absence of any external cue, the contraction of the thicker veins is almost synchronous over the entire network [19], ...