63
e dual-ber optical stretcher has the following advantages: (1) the beam is unfocused,
so the power on the cell is not high, and the damage to the cell is negligible; (2) the capture and
stretching of cells can be easily achieved; and (3) the dual-ber optical stretcher is low in cost, and
the operation is simple and easy to combine with microuidic technologies. However, in order to
achieve stable capture, the optical stretcher must use single-mode ber, while the single-mode ber
has a core diameter of only 9 µm, which requires accurate alignment of the bers. is imposes
some diculty in chip fabrication.
3.3.3 STEPSTRESS ANALYSIS OF CELL MECHANICAL PROPERTIES
e mechanical properties of the cells can be measured by step-stress tests on single cells [200].
r is the deformation of the cells along the optical axis, and r is the original diameter of the cell.
Figure 3.5 is a schematic diagram of the step-stress response curve of a cell.
Trap
Time t
1
Deformation γ
t
TrapStretch
Figure 3.5: Step stress response curve of cells.
Cell mechanical properties can be tted by the following formula describing the response
curve:
γ(t) = σ
0
b
1
a
2
1 – exp
a
1
t +
σ
0
t, (3-5)
where a
1
, a
2
, and b
1
are parameters of the tted curve. σ
0
is the maximum stress applied to the cell
along the beam:
σ
0
=
n
med
I
0
(2 – R
ref
+ R
ref
2
)
n
cell
– 1, (3-6)
where c is the velocity of light in vacuum, n
med
is the refractive index of the medium (normally
n
med
≥ 1.335), n
cell
is the refractive index of the cell, and R is the amount of light reected at the
interface between the medium and the cell, which can be expressed as
a
1
a
1
2
a
2
a
1
c
n
med
3.3 ELECTROROTATION CHIP FUNCTION EXPANSION
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