1 Introduction
2 Methods
2.1 Governing equations and model geometry
2.2 Parameter ranges considered
Study | Type | Notes |
g
i
l
|
g
e
l
|
g
i
t
|
g
e
t
|
g
i
n
|
g
e
n
|
---|---|---|---|---|---|---|---|---|
Bauer [8] | PE | Rabbit | 0.65 | – | 0.042 | – | 0.033 | – |
Clerc [13] | E | Calf | 1.7 | 6.3 | 0.19 | 2.4 | – | – |
Hand [18] | T | 1.0 | 3.0 | 0.03 | 1.6 | – | – | |
Hooks [19] | PE | Pig | 2.6 | 2.6 | 0.26 | 2.5 | 0.08 | 1.1 |
Johnston [24] | T | 1.9 | 3.2 | 0.35 | 2.2 | 0.08 | 1.2 | |
Johnston [23] | T | 2.4 | 2.4 | 0.35 | 2.0 | 0.08 | 1.1 | |
Johnston [24] | T | 3.1 | 2.0 | 0.35 | 2.2 | 0.08 | 1.2 | |
Krassowska [33] | T | 0.7 | 3.0 | 0.003 | 1.5 | – | – | |
Le Guyader [34] | E | Dog | 0.6 | 1.3 | 0.39 | 1.3 | – | – |
Le Guyader [35] | E | Dog | 2.0 | 3.9 | 0.19 | 1.7 | – | – |
MacLachlan [39] | T | 3.0 | 2.0 | 1.0 | 1.7 | 0.32 | 1.4 | |
Roberts [46] | E | Dog | 3.4 | 1.2 | 0.6 | 0.8 | – | – |
Roberts [45] | E | Dog | 2.8 | 2.2 | 0.26 | 1.3 | – | – |
Roth [47] | T | 3.5 | 3.0 | 0.3 | 1.8 | – | – | |
Roth [49] | T | 1.9 | 1.9 | 0.2 | 0.9 | – | – | |
Stinstra [54] | T | 1.6 | 2.1 | 0.05 | 0.6 | – | – | |
Trayanova [60] | T | 2.0 | 3.0 | 0.14 | 0.32 | – | – | |
Mean | 2.1 | 2.7 | 0.28 | 1.6 | 0.11 | 1.2 | ||
Std | 0.9 | 1.2 | 0.24 | 0.6 | 0.1 | 0.1 |
Parameter | Minimum | Mean | Maximum |
---|---|---|---|
g
i
l
| 1.2 |
2.4
| 3.6 |
g
e
l
| 1.2 |
2.4
| 3.6 |
g
i
t
| 0.12 |
0.24
| 0.36 |
g
e
t
| 0.8 |
1.6
| 2.4 |
g
i
n
| 0.05 |
0.1
| 0.15 |
g
e
n
| 0.5 |
1.0
| 1.5 |
g
b
| 3.25 |
6.5
| 9.75 |
ROT | 60 |
100
| 140 |
2.3 Analysis methods
2.3.1 Polynomial chaos
2.3.2 Gaussian process emulator
2.3.3 Partial least squares regression
3 Results
3.1 Polynomial chaos
3.2 Possible EPDs for 30% ischaemia
3.3 ST depression (type 1) (cminV < ominV < 0)
Outputs | ROT |
g
b
|
g
i
l
|
g
e
l
|
g
i
t
|
g
e
t
|
g
i
n
|
g
e
n
|
---|---|---|---|---|---|---|---|---|
cminV | 0.00 | 0.04 | 0.05 | 0.01 | 0.00 | 0.01 |
0.50
|
0.23
|
cmaxV | 0.20 | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 |
0.29
|
0.46
|
ominV | 0.00 | 0.02 | 0.02 | 0.01 | 0.00 | 0.01 |
0.47
|
0.29
|
Ellipse angle |
0.66
| 0.01 | 0.00 | 0.02 | 0.00 | 0.01 | 0.05 | 0.06 |
cminV | 0.02 | − 0.22 | 0.23 | 0.11 | 0.03 | 0.10 | −0.74
|
0.51
|
cmaxV | − 0.18 | − 0.13 | 0.13 | 0.05 | 0.00 | − 0.02 | −0.65
|
0.64
|
ominV | 0.03 | − 0.16 | 0.13 | 0.09 | 0.03 | 0.08 | −0.73
|
0.57
|
Ellipse angle |
0.59
| − 0.14 | 0.08 | − 0.14 | 0.04 | 0.10 | − 0.20 | 0.24 |
Outputs | ROT |
g
b
|
g
i
l
|
g
e
l
|
g
i
t
|
g
e
t
|
g
i
n
|
g
e
n
|
---|---|---|---|---|---|---|---|---|
ominV | 0.00 | 0.00 | 0.06 |
0.13
| 0.01 | 0.06 |
0.55
| 0.09 |
cminV | 0.00 | 0.03 | 0.04 | 0.01 | 0.00 | 0.01 |
0.56
|
0.24
|
cmaxV | 0.00 | 0.03 |
0.11
| 0.00 | 0.00 | 0.00 |
0.33
|
0.28
|
angmin |
0.84
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 |
ominV | 0.02 | − 0.02 | − 0.26 |
0.42
| 0.08 | 0.27 | −0.73
| 0.32 |
cminV | 0.04 | − 0.31 | 0.32 | 0.20 | 0.09 | 0.14 | −1.23
|
0.85
|
cmaxV | − 0.13 | − 0.44 |
0.74
| − 0.18 | − 0.01 | − 0.13 | −1.27
|
1.23
|
angmin |
0.97
| − 0.05 | 0.07 | − 0.02 | − 0.01 | − 0.02 | − 0.09 | 0.13 |
3.4 ST depression (type 2) (ominV < cminV < 0)
3.5 ST elevation (cmaxV > 0)
Outputs | ROT |
g
b
|
g
i
l
|
g
e
l
|
g
i
t
|
g
e
t
|
g
i
n
|
g
e
n
|
---|---|---|---|---|---|---|---|---|
cmaxV | 0.03 | 0.03 |
0.30
| 0.08 | 0.00 | 0.03 |
0.19
|
0.22
|
ominV | 0.01 | 0.00 |
0.38
|
0.25
| 0.02 | 0.11 | 0.07 | 0.00 |
angmax |
0.49
| 0.03 | 0.01 | 0.01 | 0.01 | 0.03 | 0.03 | 0.01 |
angmin |
0.84
| 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 | 0.00 |
cmaxV | − 0.19 | − 0.21 |
0.63
| − 0.34 | 0.03 | − 0.21 | −0.52
|
0.54
|
ominV | − 0.12 | 0.01 | −0.64
|
0.55
| 0.14 | 0.36 | − 0.28 | − 0.07 |
angmax | −0.49
| 0.10 | − 0.19 | − 0.12 | 0.00 | 0.17 | 0.17 | − 0.15 |
angmin |
0.97
| 0.01 | − 0.01 | 0.04 | 0.06 | − 0.15 | − 0.01 | 0.05 |
3.6 Summary of results
ROT |
g
b
|
g
i
l
|
g
e
l
|
g
i
t
|
g
e
t
|
g
i
n
|
g
e
n
| |
---|---|---|---|---|---|---|---|---|
ST depression (type 1) | ||||||||
cmaxV |
↓
|
↑
| ||||||
cminV |
↓
|
↑
| ||||||
ominV |
↓
|
↑
| ||||||
Ellipse angle |
↑
| |||||||
ST depression (type 2) | ||||||||
cmaxV |
↑
|
↓
|
↑
| |||||
cminV |
↓
|
↑
| ||||||
ominV |
↓
|
↓
| ||||||
angmin |
↑
| |||||||
ST elevation | ||||||||
cmaxV |
↑
|
↓
|
↑
| |||||
ominV |
↓
|
↑
| ||||||
angmax |
↓
| |||||||
angmin |
↑
|
3.7 Effect of conductivity ratios
cmaxV | cminV | ominV | cmaxV | cminV | ominV | |||
---|---|---|---|---|---|---|---|---|
ST depression |
g
i
l
/g
e
l
| 0.05 | 0.08 | 0.03 |
g
i
l
/g
i
t
| − 0.19 | − 0.21 | − 0.24 |
(type 1) |
g
i
t
/g
e
t
| 0.01 | − 0.08 | − 0.07 |
g
i
l
/g
i
n
|
0.67
|
0.78
|
0.73
|
g
i
n
/g
e
n
| −0.94
| −0.90
| −0.95
|
g
e
l
/g
e
t
| 0.28 | 0.14 | 0.18 | |
g
e
l
/g
e
n
| −0.50
| − 0.33 | − 0.41 | |||||
ST depression |
g
i
l
/g
e
l
| 0.28 | − 0.16 | − 0.44 |
g
i
l
/g
i
t
| − 0.19 | −0.43
| −0.49
|
(type 2) |
g
i
t
/g
e
t
| 0.03 | − 0.05 | − 0.11 |
g
i
l
/g
i
n
|
0.64
|
0.51
| 0.21 |
g
i
n
/g
e
n
| −0.88
| −0.74
| −0.54
|
g
e
l
/g
e
t
| 0.40 | 0.20 | 0.07 | |
g
e
l
/g
e
n
| −0.77
| − 0.22 | 0.15 | |||||
ST elevation |
g
i
l
/g
e
l
|
0.64
| − 0.19 | −0.80
|
g
i
l
/g
i
t
| 0.06 | − 0.38 | −0.53
|
g
i
t
/g
e
t
| 0.18 | 0.09 | − 0.21 |
g
i
l
/g
i
n
|
0.72
|
0.46
| 0.03 | |
g
i
n
/g
e
n
| −0.70
| −0.49
| − 0.18 |
g
e
l
/g
e
t
| 0.19 | 0.25 | − 0.02 | |
g
e
l
/g
e
n
| −0.64
| − 0.11 |
0.46
|