Holographic Motility Contrast Imaging of Live Tissues - Biomedical Optical Phase Microscopy and Nanoscopy - page 213

Apply dose

0.80

Nocodazole

0.75

0.70

10 µ g/ml
5 µ g/ml
2 µ g/ml
0.5 µ g/ml
0.2 µ g/ml
0.05 µ g/ml
0.02 µ g/ml
0.005

0.65

g/ml
0.00 µ g/ml

µ

0.60

0 50 100

Time (min)

150

Figure 11.7

Dose response curves of the NSD for increasing doses of nocodazole. Each curve is from a

different tumor.

E ð t Þ 5 E s exp ð 2 i ð k f 2 k i ÞU r ð t ÞÞ (11.8)

As the position r( t ) of the particle changes, the phase of the scattered light changes. The
difference in phase from one position to the next is
Δφ 52 ð k f 2 k i ÞUΔ r
52 q UΔ r

(11.9)

where q 5 (k f 2 k i ) is the scattering vector. The magnitude of q for a scattering angle θ is

q 5 2 k sin 2 5 k

p

2 ð 1 2 cos θÞ (11.10)

In field-based detection, such as holography, the mixing of the scattered field with a
reference field produces the net field

Þ 5 E 0 1 X

N

E ð t E n exp ð 2 iq x n ð 0 ÞÞ exp ð 2 iq Δ x n ð t ÞÞ (11.11)

n 5 1

where the coordinate x is defined parallel to the scattering vector q. To construct the time
autocorrelation function, the product of the field is taken with a delayed version of itself
and in the limit of large N , the random initial phases average to zero to yield