Biomedical Engineering Reference
In-Depth Information
Φ
a
v
∆
t
(
,
)
v
∆
t
( , )
v
∆
t
( , )
θ
t
=
< >
t
Φ
θ
t
θ
0.2
0
(°)
θ
260
300
340
´
v
∆
t
( , )
θ
t
-0.2
v
∆
t
( , )
=
v
∆
t
( , ) -
θ
t
θ
t
b
(Mp)
(Pp)
0.1
i
max
v
i
max
´
´
v
θ
(°)
0
v
j
min
v
j
min
´
´
´
v
∆
t
( , )
θ
t
-0.1
(Mm) (Pm)
Fig. 7.4
Scheme of the method to extract the characteristics of global and local cell peripheral
activities (Miyoshi and Adachi
2012
). (
a
) Estimation of the relative protrusion rate,
v
( )
=
( )
−
( )
(the
orange arrow
).
The relative protrusion rate,
v
ʔt
'
(
ʸ
,
t
), is
obtained by subtracting the averaged protrusion rate,
v
'
θ
,
t
v
θ
,
t
v
θ
,
t
∆
t
∆
t
∆
t
( )
=〈
( )
〉
(the
grey line
),
from the protrusion rate,
v
ʔt
(
ʸ
,
t
) (the
blue line
). (
b
) Cell peripheral domains are classified into
f
our
categories, which are Pp, Pm, Mp and Mm domains, according to the combination of sgn(
v
D t
)
and sgn(
v
ʔt
ƹ) as listed in Table
7.1
. The maximum value,
v
i
ƹ
max
(the
red arrow
), of
v
ʔt
ƹ in the
i
ith rela-
tive protruding domain (Pp, Mp) is a measure of the magnitude of the relative protruding activity of
the
i
ith relative protruding domain. The minimum value,
v
j
ƹ
min
(the
blue arrow
), of
v
ʔt
ƹ in the
j
th
relative retracting domain (Pm, Mm) is a measure of the magnitude of the relative retracting activ-
ity of the
j
th relative retracting domain (Adapted with permission from The Royal Society of
Chemistry: [Integrative Biology], copyright (2012))
q
,
t
v
q
,
t
D
t
D
t
F
Table 7.1
Classification of the domains according to the combination of characteristics of the
global cell peripheral movement and those of the local cell peripheral movement (Miyoshi and
Adachi
2012
)
Local cell peripheral movement sgn
(
v
ʔ
t
'
)
(lower-case letter)
Retracting m
inus
Protruding p
lus
Global cell peri
p
heral
movement sgn(
v
D t
)
(upper-case letter)
Protruding
P
LUS
Pm domain
a
Pp domain
a
Retracting
M
INUS
Mm domain
a
Mp domain
a
a
The first upper-case letter 'P' or 'M' of
th
e abbreviation indi
ca
tes the characteristics of the global
cell peripheral movement as
P
LUS sgn(
v
D t
) or
M
INUS sgn(
v
D t
), respectively. The second lower-
case letter 'p' or 'm' indicates the characteristics of the local cell peripheral movement as
p
lus
sgn(
v
ʔt
ƹ) or
m
inus sgn(
v
ʔt
ƹ) (Adapted with permission from The Royal Society of Chemistry:
[Integrative Biology], copyright (2012))
