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http://www.up.pt/http://www.fe.up.pt/mailto:ana.castro@fe.up.pt

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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/structure

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http://www.drugbank.ca/drugs/DB00818/structurehttp://www.drugbank.ca/drugs/DB00818/structure

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co2

8/10/2019 Nociception Level During Anaesthesia

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T M