154 Questions

~1 Hz per acquired spectrum (Scarcelli and Yun, 2007). BLS has been used in a number of

studies to investigate the biomechanical properties of a variety of tissues, which are discussed

in Chapter 6.

4.8  SUMMARY POINTS

There are several super-​resolution methods, characterized by techniques that use

light microscopy to determine the location of a single dye molecule better than the

diffraction-​determined optical resolution limit.

An array of nonlinear methods is useful for studying biological processes deep into

tissues, especially two-​photon excitation fluorescence imaging.

Tools to correct for optical inhomogeneity in deep tissues exist, such as AO.

Interactions between two different biomolecules can be monitored using FRET,

down to the level of single molecules.

FCS is a robust tool to determine diffusion rates, which complements single-​

particle tracking methods.

Inelastic scattering methods such as Raman and Brillouin scattering are “label-​

free” and facilitate monitoring of a range of biomolecule types beyond just

the primary focus of fluorescence microscopy, which is fluorescently labeled

proteins.

QUESTIONS

4.1

A high-​power oil-​immersion objective lens has an NA or 1.45, transmitting 80% of

visible light, total magnification 300.

a

What is the photon capture efficiency of the lens?

In a TIRF experiment using the objective lens method with a laser excitation of

wavelength 561 nm, a protein is labeled with the FP mCherry.

b

Using PubSpectra (http://​www.pub​spec​tra.org/​) or equivalent, select a suit­

able dichroic mirror and emission filter for exciting and visualizing mCherry

molecules and estimates the maximum proportion of fluorescence photons that

can in principle reach a camera detector.

c

If the camera detector converts 90% of all incident visible light photons into a

signal and has a pixel size of 18 μm and a background noise level (b) equivalent to

~200 counts, what is the best spatial precision with which one can estimate the

position of a single mCherry molecule stuck to the surface of a glass coverslip?

In an actual experiment, the best precision was measured to be approximately 10

times worse than the theoretical estimate.

d

What is the most likely cause of this discrepancy?

4.2

Derive formulas for the relation between sigma width and w for the full width at half

maximum value to a Gaussian approximation to the PSF.

4.3

X-​ray diffraction data (see Chapter 5) suggest that a certain protein found in the

cell membrane can be present as both a monomer and a dimer. A single-​molecule

yellow-​color FP called YPet was fused to the end of this protein to perform live-​cell

fluorescence imaging. TIRF microscopy was used on live cells indicating typically six

detected fluorescent spots of full width at half maximum intensity profile ~180 nm per

cell in each illuminated section of cell membrane. TIRF microscopy here was found

to illuminate only ~15% of the total extent of the cell membrane per cell, with the

total membrane area being ~30 μm2 per cell. On the basis of intensity measurements

of the fluorescent spots, this indicated that ~75% of the spots were monomers, ~15%

were dimers, and the remaining 10% were consistent with being oligomers. Explain

with reasoning if you think the oligomers are “real” or simply monomers or dimers,

which are very close to each other. (Hint: if two fluorescent molecules observed using

KEY BIOLOGICAL

APPLICATIONS:

I NELASTIC

SCATTERING TOOLS

Label-​free molecular identifi­

cation; Monitoring mechanical

stress in tissues.