Surface-enabled propulsion and control of colloidal microwheels
ARTICLE
Received 3 Sep 2015 | Accepted 18 Nov 2015 | Published 4 Jan 2016
DOI: 10.1038/ncomms10225
OPEN
Surface-enabled propulsion and control of colloidal
microwheels
T.O. Tasci1, P.S. Herson2,3, K.B. Neeves1,4 & D.W.M. Marr1
Propulsion at the microscale requires unique strategies such as the undulating or rotating
filaments that microorganisms have evolved to swim. These features however can be difficult
to artificially replicate and control, limiting the ability to actuate and direct engineered
microdevices to targeted locations within practical timeframes. An alternative propulsion
strategy to swimming is rolling. Here we report that low-strength magnetic fields can
reversibly assemble wheel-shaped devices in situ from individual colloidal building blocks and
also drive, rotate and direct them along surfaces at velocities faster than most other
microscale propulsion schemes. By varying spin frequency and angle relative to the surface,
we demonstrate that microwheels can be directed rapidly and precisely along user-defined
paths. Such in situ assembly of readily modified colloidal devices capable of targeted
movements provides a practical transport and delivery tool for microscale applications,
especially those in complex or tortuous geometries.
1 Chemical and Biological Engineering Department, Colorado School of Mines, Golden, Colorado 80401, USA. 2 Department of Anesthesiology, University of
Colorado, Denver, Colorado 80045, USA. 3 Department of Pharmacology, University of Colorado, Denver, Colorado 80045, USA. 4 Department of Pediatrics,
University of Colorado, Denver, Colorado 80045, USA. Correspondence and requests for materials should be addressed to D.M. (email: ).
NATURE COMMUNICATIONS | 7:10225 | DOI: 10.1038/ncomms10225 | www.nature.com/naturecommunications
1
ARTICLE
NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10225
A
B0 (mT)
t the microscale, fluid dynamics are unique because Superparamagnetic beads assemble into microwheels by isotropic
viscous forces dominate over inertial forces, a condition interactions induced by the in-plane rotating magnetic field
typically characterized by Reynolds numbers (Re) less (Fig. 1a,b) with wheel size controlled by local bead density.
than unity. Because propulsion schemes that rely on inertial Spinning microwheels lying flat on a surface have no net motion.
forces cannot be used, translation requires approaches adapted For translation to occur they must be inclined relative to the
to overcome the inherent reversibility of low-Re flows by breaking surface; therefore, to propel microwheels, we introduce a normal
symmetry1–3. For example, microorganisms use undulating or component to the magnetic field to orient the field rotation axis
rotating flagella and cilia for motility. In the push for towards the surface plane (Supplementary Movies 1 and 2). With
technological devices small enough to move through microscale addition of a field in the z direction, Bz ¼ Bz0 cos (oft fz), both
channels (10–100 mm) over macroscale distances (41 cm), such symmetric and asymmetric microwheels reorient off the surface
as those found in human vasculature, there is appreciable effort in to a defined camber angle, yc (Fig. 1c,d), and begin to translate.
developing equivalent artificial approaches. Propulsion schemes Apparent in this approach is the similarity of microwheels to
based on catalytic methods4–6 or on cellular machinery rolling tires where friction with the road, combined with tire
analogues7–9 have shown good progress; however, significant rotation, propels wheels forward. One difference between
challenges remain. Though catalytic swimmers can reach high microwheels and tires is that the camber angle can vary from
speeds10, they require available solute fuel for propulsion and lying flat, yc ¼ 90°, and spinning without translation to fully
concentration gradients for direction11. While top–down
fabrication of flagella has led to speeds comparable to some
microorganisms, they cannot be reconfigured for applications in
dynamic or varying environments.
Colloidal assembly is a promising alternative. These methods
provide bottom-up fabrication using simple colloidal building
blocks as components of microstructures that are rapidly and
reversibly assembled into a variety of sizes and shapes.
Fabrication is initiated via specific12,13 or non-specific14
interactions or supplemented with applied electrical15, optical16
Translation
c
n
Bx,By,Bz = 1,1,1
or magnetic fields17 to enable switching and direct control of size,
structure and function18. Used with superparamagnetic colloids,
magnetic fields are well-suited to assemble structures in situ that
Assembly and rotation
are easily manipulated and rapidly disassembled after use. Fields
Bx,By,Bz = 1,1,0
Bz
of only a few milli-Tesla (mT) create sufficient dipole strength to B
y
induce colloidal assembly. Static applied fields align particles into
chains, while rotating fields create net isotropic interactions that
By
can lead to compact aggregates19. In our studies, we use
B
Bx
x
superparamagnetic colloids and balance magnetic and viscous
forces with appropriate field strengths and rotational frequencies
to create reversible close-packed assemblies that subsequently
Btotal (mT)
90
spin due to their net dipole interacting with the dynamic applied
15
Bz0/B0
field20,21. While rotating magnetic fields can construct
80
2
1
microwheels and create a driving torque, the reversible nature
of low-Re flows dictates that spinning symmetric objects
70
3
suspended in fluid do not translate. For net movement to
60
10
occur, symmetry, either in the device or in the surrounding
5
geometry, must be broken. In an approach particularly
50
appropriate for microenvironments where surface to volume c
40
ratios are high and surfaces are plentiful, one way to break the
symmetry is with a nearby wall.
30
5
Here, we show that rotating magnetic fields can be used to
Dimers
20
assemble and spin microwheels that, when canted relative to
Trimers
the surface, roll smoothly and quickly with a high degree of
7-mers
10
directional control. We demonstrate this propulsion mechanism
0
0
with microwheels composed of 1, 2, 3, 7 and even 19
0
10
20
30
40
50
60
70
80
90
paramagnetic colloidal particles with translation speeds
Tan–1 (B0 / Bz0)
4100 mm s 1. These results demonstrate a rapid and reversible
microdevice assembly and powering method that overcomes Figure 1 | Field-induced assembly and rotation. (a,b) With application of
many of the limitations inherent in biomimetic artificial the rotating magnetic field B þ B in the surface plane, colloids assemble
x
y
micropopulsion strategies.
via isotropic interactions and ‘sit and spin’ (scale bar, 20 mm). (c) With
addition of a normal variable-phase component (Bz), the field rotation axis
is oriented towards the surface plane, wheels ‘stand up’ at a camber angle,
Results
yc, and roll along the surface. (d) yc measured during wheel translation as a
Microwheel assembly and translation mechanism. We beg (...truncated)