Superparamagnetic nanoparticles (MNPs) have been utilized in biomedical sensing, detection, therapeutics, and diagnostics due to their unique magnetic response under different driving fields. In this letter, we report a multi-tracer tracking method that uses different kinds of MNPs as magnetic tracers along with two alternating magnetic fields that can be potentially used to build magnetic-based flow cytometry. By applying two driving fields at frequency fH and fL to MNPs, the response signal is measured at the combinatorial frequencies such as fH±2fL (3rd harmonics), fH±4fL (5th harmonics), fH±6fL (7th harmonics), and so on. Each MNP has its own signature of phase and amplitude, and it is possible to differentiate individual MNPs in a mixture. We theoretically demonstrated colorizing up to 4-MNP tracers in one mixture with an error rate lower than 10%. The performance of multi-tracer imaging can be optimized by increasing the driving field frequency, choosing MNPs with higher saturation magnetization, and using MNP tracers with more centralized size distribution.

1.
R. R.
Jahan-Tigh
,
C.
Ryan
,
G.
Obermoser
, and
K.
Schwarzenberger
,
J. Invest. Dermatol.
132
(
10
),
e1
(
2012
).
2.
S. P.
Perfetto
,
P. K.
Chattopadhyay
, and
M.
Roederer
,
Nat. Rev. Immunol.
4
(
8
),
648
655
(
2004
).
3.
X.
Mao
,
A. A.
Nawaz
,
S.-C. S.
Lin
,
M. I.
Lapsley
,
Y.
Zhao
,
J. P.
McCoy
,
W. S.
El-Deiry
, and
T. J.
Huang
,
Biomicrofluidics
6
(
2
),
024113
(
2012
).
4.
L.
Yu
,
J.
Liu
,
K.
Wu
,
T.
Klein
,
Y.
Jiang
, and
J.-P.
Wang
,
Sci. Rep.
4
,
7216
(
2014
).
5.
Y.
Wang
,
W.
Wang
,
L.
Yu
,
L.
Tu
,
Y.
Feng
,
T.
Klein
, and
J.-P.
Wang
,
Biosens. Bioelectron.
70
,
61
68
(
2015
).
6.
B.
Gleich
and
J.
Weizenecker
,
Nature
435
(
7046
),
1214
1217
(
2005
).
7.
C.-Y.
Hong
,
C.
Wu
,
Y.
Chiu
,
S.
Yang
,
H.
Horng
, and
H.
Yang
,
Appl. Phys. Lett.
88
(
21
),
212512
(
2006
).
8.
A. M.
Rauwerdink
and
J. B.
Weaver
,
Appl. Phys. Lett.
96
(
3
),
033702
(
2010
).
9.
A.
Ito
,
M.
Shinkai
,
H.
Honda
, and
T.
Kobayashi
,
J. Biosci. Bioeng.
100
(
1
),
1
11
(
2005
).
10.
S.-H.
Chung
,
A.
Hoffmann
,
K.
Guslienko
,
S.
Bader
,
C.
Liu
,
B.
Kay
,
L.
Makowski
, and
L.
Chen
,
J. Appl. Phys.
97
(
10
),
10R101
(
2005
).
11.
X.
Zhang
,
D. B.
Reeves
,
I. M.
Perreard
,
W. C.
Kett
,
K. E.
Griswold
,
B.
Gimi
, and
J. B.
Weaver
,
Biosens. and Bioelectron.
50
,
441
446
(
2013
).
12.
J.
Zhou
,
C.
Wang
,
P.
Wang
,
P. B.
Messersmith
, and
H.
Duan
,
Chem. Mater.
27
(
8
),
3071
3076
(
2015
).
13.
D.
Reich
,
M.
Tanase
,
A.
Hultgren
,
L.
Bauer
,
C.
Chen
, and
G.
Meyer
,
J. Appl. Phys.
93
(
10
),
7275
7280
(
2003
).
14.
A. H.
Lu
,
E.
e.
,
L.
Salabas
, and
F.
Schüth
,
Angew. Chem. Int. Ed.
46
(
8
),
1222
1244
(
2007
).
15.
L.
Lenglet
,
J. Magn. Magn. Mater.
321
(
10
),
1639
1643
(
2009
).
16.
O.
Cakmak
,
C.
Elbuken
,
E.
Ermek
,
A.
Mostafazadeh
,
I.
Baris
,
B.
Erdem Alaca
,
I. H.
Kavakli
, and
H.
Urey
,
Methods
63
(
3
),
225
232
(
2013
).
17.
H.-J.
Krause
,
N.
Wolters
,
Y.
Zhang
,
A.
Offenhäusser
,
P.
Miethe
,
M. H.
Meyer
,
M.
Hartmann
, and
M.
Keusgen
,
J. Magn. Magn. Mater.
311
(
1
),
436
444
(
2007
).
18.
K.
Wu
,
J.
Liu
,
Y.
Wang
,
C.
Ye
,
Y.
Feng
, and
J.-P.
Wang
,
Appl. Phys. Lett.
107
(
5
),
053701
(
2015
).
19.
K.
Wu
,
Y.
Wang
,
Y.
Feng
,
L.
Yu
, and
J.-P.
Wang
,
J. Magn. Magn. Mater.
380
,
251
254
(
2015
).
20.
P. I.
Nikitin
,
P. M.
Vetoshko
, and
T. I.
Ksenevich
,
J. Magn. Magn. Mater.
311
(
1
),
445
449
(
2007
).
21.
L.
Tu
,
K.
Wu
,
T.
Klein
, and
J.-P.
Wang
,
J. Phys. D: Appl. Phys.
47
(
15
),
155001
(
2014
).
22.
L.
Tu
,
Y.
Jing
,
Y.
Li
, and
J.-P.
Wang
,
Appl. Phys. Lett.
98
(
21
),
213702
(
2011
).
23.
See supplementary material at http://dx.doi.org/10.1063/1.4934743 for system setup, driving field strength, MNP size distribution, and multi-tracer imaging.
24.
S.
Biederer
,
T.
Knopp
,
T.
Sattel
,
K.
Lüdtke-Buzug
,
B.
Gleich
,
J.
Weizenecker
,
J.
Borgert
, and
T.
Buzug
,
J. Phys. D: Appl. Phys.
42
(
20
),
205007
(
2009
).
25.
J. B.
Weaver
,
A. M.
Rauwerdink
,
C. R.
Sullivan
, and
I.
Baker
,
Med. Phys.
35
(
5
),
1988
1994
(
2008
).
26.
R.
Chantrell
,
S.
Hoon
, and
B.
Tanner
,
J. Magn. Magn. Mater.
38
(
2
),
133
141
(
1983
).

Supplementary Material

You do not currently have access to this content.