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8/10/2019 Nociception Level During Anaesthesia
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http://www.up.pt/http://www.fe.up.pt/mailto:[email protected]8/10/2019 Nociception Level During Anaesthesia
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kij
i
j
k10
V1 V2 V3
E0
Ce = 0
EC50
E
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In Out
preopioid intensity
postopioidintensity
preopioid intensity
postopioid intensity
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In Out
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T M
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RNorm
RNorm
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kij
massi ce
i, j = 1,..., 3
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i
P
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scale
i i= 1, ..., 35
P
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j j >5
j = 1, 0
scale
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rho
RNorm
j
, 1 j J, 0 k Kj
j
1
j =12(j1)/2, 2 j J
tp
|Wf(p1)| and |Wf(p2)| T1
sign(Wf(p1)).sign(Wf(p2))< 0, p2 p1 tp
ta p1 tb p2
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|Wf(ta)| and |Wf(tb)| T2
|Wf(ta 1)| and |Wf(tb+ 1)| < T2
T1 T2
T1= 31w, T2= w
w
1
= 0
= 1
Wj f(t) Wj f(t)
W Wjf(t) f(t)
(t) WSf(t)
W WSf(t)
S= j = int
log2
ts+ 0.5
ts
|WSf(t)| > Tu (t) = 0 Tu
|WSf(t t)| < Ts (t) = 1 Ts
t
|WSf(t)| < Ts
|W WSf(t)| < Tw (t) = 1 Tw
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j j > 5
j = 1, 0
j
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1 w Wf WWf
Signali, i = 1, ..., 8
In n = 3 Out m = 5
In (t) = 1
n
ni=1
Signali(t)
Out(t) = 1
m
mi=1
Signali(t)
Signali 0.9, i= 1, ..., 8
(t)
(t) 0.9
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Out
(t) 0.9
In Out
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In Out
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In Out
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preopioid intensity
opioid50
scale
opioid
postopioid intensity
postopioid intensity=
preopioid intensity1 opioidopioid+(opioid50preopioid intensity)
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preopioid intensity
T SS= preopioid intensityRemifentanil Ce
3 ng/ml
postopioid intensity
postopioid intensity
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(t)
postopioid intensity
y(t)
x(t + Ts) = Ax(t) + Bu(t)
y(t) = Cx(t) + Du(t)
M SE
F it Error
M SE=n
i=1
(yh(i) y(i))2
n
F it Error=n
i=1
|yh(i) y(i)|
n
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postopioid intensity
postopioid intensity
postopioid intensity
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postopioid intensity
signal(t)
signal(t)
signalN(t)
signalN(t) = signal(t) mean(signal(t))
mean(signal(t))
t
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In Out
preopioid intensity
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postopioid intensity
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2
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CO2
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2
T M
T M
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a
T M
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SEPAmp
SEPAmp0
R RNorm
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RNorm
RNorm
RNorm
RNorm
RNorm
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log10
RNorm
RNorm
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RNorm
RNorm
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RNorm
RNorm
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ke0
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i (i = 1, ..., 11
ke0
ke0
m1(t)m2(t)m3(t)
Ce(t)
=
k12 k13 k10 k21 k31 0
k12 k21 0 0k13 0 k31 0ke0V1
0 0 ke0
m1(t)m2(t)m3(t)Ce(t)
+
1000
r(t)
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E0
EC50 (g/ml)
ke0 (min1)
E(t) =E0
1
Ce(t)
Ce(t) + EC50
r(t)
y
u
u
r
y
u
x= f(x) + G(x)u
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y= h(x)
x
u
f
G
h(x)
x=
m1(t)m2(t)m3(t)Ce(t)
, u= r(t)
f(x) =k12 k13 k10 k21 k31 0
k12 k21 0 0k13 0 k31 0ke0V1
0 0 ke0
x
G(x) =
1000
h(x) =E0
1
x(4)
x(4) + EC50
Lab b a
Lab= b
xa
r= 2
y(2) =L2fh + LG(Lfh) u
y(2) =f(x) + G(x)u
G
f
G
(x) =LG(Lfh) =
x h
xfG
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f(x) =L2fh=
x
h
xf
f
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s=
d
dt+
r1e
e
r
e= y yd
yd
s= y(1) y(1)r
yr y yd
yd
G
f
G
f
G
f
G(x) = (1 + )G(x), || D
f(x) f(x)
u=
G(x)1
y(2)r f(x) k sgn(s)
G(x)
f
k
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sgn(s) =
1, s 0
(1 D)k= + Dy(2)r f(x)
+
s
sat(s/) =
1, s s/, < s < 1, s
G
s = 0
|s(t= 0)| /
(r 1)/
=0.3
TA
vS
A 1
3TA
S1
5vS
TA= 10s
vS = 1/5Hz = 1/30Hz TA
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ke0
yd(t) =
86.89, t
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ke0
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kg
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n
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>
>
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kij massi
ce
i, j= 1, ..., 3
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http://www.drugbank.ca/drugs/DB00899/structurehttp://www.drugbank.ca/drugs/DB00899/structure8/10/2019 Nociception Level During Anaesthesia
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http://www.drugbank.ca/drugs/DB00818/structurehttp://www.drugbank.ca/drugs/DB00818/structure8/10/2019 Nociception Level During Anaesthesia
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co2
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T M