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hubatsch
Frap Theory
Commits
197127e8
Commit
197127e8
authored
4 years ago
by
Lars Hubatsch
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Adding radial average for simulations.
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ea36c41a
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Half_Frap_Phi_u.ipynb
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197127e8
...
...
@@ -69,6 +69,36 @@
" f_i.append(f)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import fem_utils\n",
"alphas = np.linspace(0,2*np.pi, 100)\n",
"ns = np.c_[np.cos(alphas), np.sin(alphas), np.zeros(len(alphas))]\n",
"eps = np.linspace(0, 0.25, 100)\n",
"profs = []\n",
"for i in range(5):\n",
" values=[]\n",
" fs = fem_utils.load_time_point(f_i[0].name+'t_p_'+str(i)+'.h5',\n",
" f_i[0].mesh)\n",
" for n in ns:\n",
"# values.append([f_i[0].fs[i]([4, 4, 0.5]+e*n) for e in eps])\n",
" values.append([fs([4, 4, 0.5]+e*n) for e in eps])\n",
" profs.append(np.mean(np.transpose(values), 1))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"plt.plot(np.transpose(profs))"
]
},
{
"cell_type": "code",
"execution_count": null,
...
...
%% Cell type:markdown id: tags:
### FRAP geometries
%% Cell type:code id: tags:
```
python
from
fem_sol
import
frap_solver
import
matplotlib.pyplot
as
plt
import
numpy
as
np
```
%% Cell type:code id: tags:
```
python
font
=
{
'
family
'
:
'
normal
'
,
'
weight
'
:
'
normal
'
,
'
size
'
:
12
}
import
matplotlib
matplotlib
.
rc
(
'
font
'
,
**
font
)
def
make_graph_pretty
(
xlab
,
ylab
,
loc
=
0
,
markerfirst
=
True
,
handlelength
=
None
):
color1
=
'
black
'
#'darkorange'
color2
=
(
0
,
0
,
0
)
color2
=
(
1
,
1
,
1
)
ax
=
plt
.
gca
()
ax
.
tick_params
(
axis
=
'
x
'
,
colors
=
color1
,
which
=
'
both
'
)
ax
.
tick_params
(
axis
=
'
y
'
,
colors
=
color1
,
which
=
'
both
'
)
plt
.
xlabel
(
xlab
,
color
=
color1
)
plt
.
ylabel
(
ylab
,
color
=
color1
)
ax
.
spines
[
'
left
'
].
set_color
(
color1
)
ax
.
spines
[
'
bottom
'
].
set_color
(
color1
)
# Hide the right and top spines
ax
.
spines
[
'
right
'
].
set_visible
(
False
)
ax
.
spines
[
'
top
'
].
set_visible
(
False
)
ax
.
set_facecolor
(
color2
)
plt
.
gcf
().
subplots_adjust
(
bottom
=
0.17
,
left
=
0.15
)
plt
.
legend
(
frameon
=
False
,
loc
=
loc
,
labelspacing
=
0.1
,
markerfirst
=
markerfirst
,
handlelength
=
handlelength
)
```
%% Cell type:code id: tags:
```
python
m
=
[
'
Meshes/multi_drop_gauss.xml
'
,
'
Meshes/multi_drop_gauss_med.xml
'
,
'
Meshes/multi_drop_gauss_far.xml
'
]
point_lists
=
[[[
4
,
4.5
,
0.5
],
[
4
,
3.5
,
0.5
],
[
3.5
,
4
,
0.5
],
[
4.5
,
4
,
0.5
]],
[[
4
,
5
,
0.5
],
[
4
,
3
,
0.5
],
[
3
,
4
,
0.5
],
[
5
,
4
,
0.5
]],
[[
4
,
5.5
,
0.5
],
[
4
,
2.5
,
0.5
],
[
2.5
,
4
,
0.5
],
[
5.5
,
4
,
0.5
]]]
f_i
=
[]
for
j
in
range
(
len
(
m
)):
f
=
frap_solver
([
4
,
4
,
0.5
],
m
[
j
],
name
=
str
(
j
),
point_list
=
point_lists
[
j
],
T
=
50
,
phi_tot_int
=
0.99
,
phi_tot_ext
=
0.01
)
f
.
solve_frap
()
f_i
.
append
(
f
)
```
%% Cell type:code id: tags:
```
python
import
fem_utils
alphas
=
np
.
linspace
(
0
,
2
*
np
.
pi
,
100
)
ns
=
np
.
c_
[
np
.
cos
(
alphas
),
np
.
sin
(
alphas
),
np
.
zeros
(
len
(
alphas
))]
eps
=
np
.
linspace
(
0
,
0.25
,
100
)
profs
=
[]
for
i
in
range
(
5
):
values
=
[]
fs
=
fem_utils
.
load_time_point
(
f_i
[
0
].
name
+
'
t_p_
'
+
str
(
i
)
+
'
.h5
'
,
f_i
[
0
].
mesh
)
for
n
in
ns
:
# values.append([f_i[0].fs[i]([4, 4, 0.5]+e*n) for e in eps])
values
.
append
([
fs
([
4
,
4
,
0.5
]
+
e
*
n
)
for
e
in
eps
])
profs
.
append
(
np
.
mean
(
np
.
transpose
(
values
),
1
))
```
%% Cell type:code id: tags:
```
python
plt
.
plot
(
np
.
transpose
(
profs
))
```
%% Cell type:code id: tags:
```
python
for
i
in
range
(
len
(
cs
[
0
])):
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.8
for
x
in
cs
[
0
][
0
:
i
]],
label
=
'
dist=0.5
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.8
for
x
in
cs
[
1
][
0
:
i
]],
label
=
'
dist=1
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.8
for
x
in
cs
[
2
][
0
:
i
]],
label
=
'
dist=1.5
'
)
plt
.
plot
(
range
(
0
,
100
),
np
.
ones
(
100
),
linestyle
=
'
--
'
,
color
=
'
k
'
)
plt
.
ylim
((
0
,
1.1
))
plt
.
xlim
((
0
,
100
))
make_graph_pretty
(
'
t (a.u.)
'
,
'
intensity (a.u)
'
,
loc
=
4
)
# plt.savefig('img_'+str(i)+'.png', dpi=300)
plt
.
show
()
```
%% Cell type:code id: tags:
```
python
f_0
=
frap_solver
([
4
,
4
,
0.5
],
'
Meshes/single_drop_coverslip.xml
'
,
name
=
'
FRAP_coverslip
'
,
T
=
50
,
phi_tot_int
=
0.99
,
phi_tot_ext
=
0.01
)
f_0
.
solve_frap
()
f_1
=
frap_solver
([
4
,
4
,
1.5
],
'
Meshes/single_drop_1_5.xml
'
,
name
=
'
FRAP_symmetric
'
,
T
=
50
,
phi_tot_int
=
0.99
,
phi_tot_ext
=
0.01
)
f_1
.
solve_frap
()
f_2
=
frap_solver
([
4
,
4
,
4
],
'
Meshes/single_drop_symmetric.xml
'
,
name
=
'
FRAP_symmetric
'
,
T
=
50
,
phi_tot_int
=
0.99
,
phi_tot_ext
=
0.01
)
f_2
.
solve_frap
()
```
%% Cell type:code id: tags:
```
python
f_3
=
frap_solver
([
4
,
4
,
0.5
],
'
Meshes/single_drop_coverslip.xml
'
,
name
=
'
FRAP_symmetric
'
,
T
=
50
,
G_in
=
0.1
,
G_out
=
0.99
/
0.9
,
phi_tot_int
=
0.9
,
phi_tot_ext
=
0.1
)
f_3
.
solve_frap
()
f_4
=
frap_solver
([
4
,
4
,
1.5
],
'
Meshes/single_drop_1_5.xml
'
,
name
=
'
FRAP_symmetric
'
,
T
=
50
,
G_in
=
0.1
,
G_out
=
0.99
/
0.9
,
phi_tot_int
=
0.9
,
phi_tot_ext
=
0.1
)
f_4
.
solve_frap
()
f_5
=
frap_solver
([
4
,
4
,
4
],
'
Meshes/single_drop_symmetric.xml
'
,
name
=
'
FRAP_symmetric
'
,
T
=
50
,
G_in
=
0.1
,
G_out
=
0.99
/
0.9
,
phi_tot_int
=
0.9
,
phi_tot_ext
=
0.1
)
f_5
.
solve_frap
()
```
%% Cell type:code id: tags:
```
python
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.99
for
x
in
f_0
.
cs
],
label
=
'
dist=0.5
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.99
for
x
in
f_1
.
cs
],
label
=
'
dist=1.5
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.99
for
x
in
f_2
.
cs
],
label
=
'
dist=4
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.9
for
x
in
f_3
.
cs
],
label
=
'
dist=0.5, G_out=10
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.9
for
x
in
f_4
.
cs
],
label
=
'
dist=1.5, G_out=10
'
)
plt
.
plot
([
np
.
mean
(
x
[
1
:
49
])
/
0.9
for
x
in
f_5
.
cs
],
label
=
'
dist=4, G_out=10
'
)
plt
.
plot
(
range
(
0
,
50
),
np
.
ones
(
50
),
linestyle
=
'
--
'
,
color
=
'
k
'
)
plt
.
ylim
((
0
,
1.1
))
plt
.
xlim
((
0
,
50
))
make_graph_pretty
(
'
t (a.u.)
'
,
'
intensity (a.u)
'
,
loc
=
4
)
```
%% Cell type:code id: tags:
```
python
plt
.
plot
(
np
.
transpose
(
f_3
.
cs
))
```
%% Cell type:code id: tags:
```
python
```
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