Metachronal μMAC
motion in a 2D rotating uniform magnetic
field and the fluid pumping capability. (A) Schematic diagram of the
magnetic actuation setup for creating a 2D rotating magnetic field.
The details of the generated magnetic field are available in Figure S2. Illustration is not to scale. (B)
Schematic drawing of the square microfluidic chip including the μMAC,
indicating the observation area of the generated flow. Illustration
is not to scale. (C) Snapshots of the metachronal motion of one row
of μMAC with a pitch of 550 μm during one beating cycle
at 1 Hz in water (see Movie S3). The electric
motor rotates counterclockwise. The white arrow indicates the traveling
direction of the metachronal wave. The red arrows indicate the direction
of the applied magnetic field. The encircled numbers indicate the
sequence of the μMAC for reference in later analyses. (D) Side-view
time-lapse images of cilium motion at 1 Hz in both water and glycerol,
showing a 2D symmetric motion. β represents the opening angle
of the cilium motion. The blue dashed line and the red dashed line
indicate the tip trajectory during the magnetic stroke and elastic
stroke, respectively. The motion of cilium 4 during the elastic stroke
in both water and glycerol is available in Movie S6. The motion of the whole μMAC array in both water
and glycerol can be found in Figure S3.
Note the difference in the recording speed for the metachronal μMAC
and the control μMAC, as well as for in water and in glycerol.
See Experimental Section for details. (E,F)
Generated flow speed of water (E) and glycerol (F) as a function of
the beating frequency of the metachronal μMAC array with pitches
of 350, 450, and 550 μm, respectively, as well as the control
μMAC array with a pitch of 550 μm. A positive result represents
a flow above the ciliated area in the same direction as the metachronal
wave traveling direction. The trajectories of the tracer particles
in both water and glycerol can be found in Figure S4. The corresponding volumetric flow rate and pressure drop
are available in Figure S5. Each data point
was obtained by averaging the results of at least ten measurements.