228 6.4  Magnetic Force Methods

of different biomolecule types including proteins/​peptides, lipids, and several other small

molecules such as synthetic drugs.

SILAC is a popular technique used in quantitative proteomics, in detecting differences

in protein amounts from cell samples using nonradioactive isotope labeling. Typically, two

populations of cells are grown in culture medium, one contains normal amino acids, while

the other contains amino acids labeled with stable nonradioactive heavy isotopes, usually

replacing the normal carbon 12C isotope with the heavier 13C with one more labeled amino

acid type in the growth medium. For example, if arginine (which contains six carbon atoms

per molecule) was used, then all peptides and proteins containing arginine in the cells would

be ~6 Da heavier per molecule of arginine present, compared to the “normal” cell population

grown in parallel. Another approach involves more uniform labeling with 13C or the heavier

15N isotope of nitrogen. Both cell populations are then analyzed using mass spectrometry

and then compared in a pairwise fashion for chemically identical peptide ion fragments.

The measured ratio of signal intensity of such paired fragments in the mass spectrum is an

estimate for the relative abundance of a cellular protein that contains those specific heavier

amino acids. It can thus be used as a tool to measure the different expression levels of different

proteins from a live-​cell population.

Biophysical applications of mass spectrometry are significant and include sensitive bio­

logical particle detection. The detection sensitivity is around one particle per liter, which

compares favorably relative to other bulk ensemble average techniques. A particle can be

detected with a sampling time resolution of a few minutes. The technique has been applied

for investigations of sample purity quality control, detection of relatively subtle mutations in

nucleic acids, protein conformation and folding studies, and proteomics experiments investi­

gating protein–​protein interactions. The Simple Analysis at Mars (SAM) instrument suite of

NASA’s rover that landed on Mars on August 5, 2012, included a portable mass spectrometer

device for detection of putative biological material. Also, the spatial resolution of state-​of-​

the-​art mass spec devices now permit precision down to the level of just a few cells and, in

some exceptional cases of relatively large cells, just a single cell.

6.4.3  MAGNETIC TWEEZERS

Magnetic particles that have a length scale range of hundreds to thousands of nanometers

can be controlled directly and efficiently via the manipulation of the local external B-​field

using field strengths in the milli-​Tesla (mT) range. This force transduction device is com­

monly referred to as magnetic tweezers. Both paramagnetic and ferromagnetic beads of

around a micron diameter are typical probes used. This has been used to great success for

investigating the mechanical properties of several types of biopolymer molecules, especially

DNA (Manosas et al., 2010).

The external B-​field in the magnetic tweezers setup is usually built as a module to an

inverted optical microscope, with either two permanent bar magnets mounted to have

juxtaposed poles or a combination of multiple electromagnetic coils to generate a suitable

mT B-​field placed around the magnetic probe (Figure 6.5a). By moving the microscope stage,

a candidate bead can be captured in the locally generated B-​field. Ferromagnetic beads con­

tain a permanent magnetic dipole moment m, and the interaction between this and the local

B-​field, as indicated by the gradient of their dot product, results in a force F on the bead and a

torque τ, which results from their cross product, rotating the bead in a direction so as to align

the magnetic moment with the B-​field:

(6.13)

F

m B

= ∇(

)

.

(6.14)

τ =

×

m

B

It is more common to use paramagnetic beads in magnetic tweezers. In this instance, a mag­

netic dipole moment is induced in the bead by the external B-​field, and in typical milli-​Tesla