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A non invasive monitoring of breathing pattern variability in the neonatal intensive care unit

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A NON-INVASIVE MONITORING OF BREATHING

PATTERN VARIABILITY IN THE NEONATAL

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A

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𝑥̅ =

𝑚

10

𝑚

00

,

𝑦̅ =

𝑚

01

𝑚

00

𝑚

𝑗𝑖

= ∑(𝑎𝑟𝑟𝑎𝑦(𝑥, 𝑦) ∗ 𝑥

𝑗

∗ 𝑦

𝑖

)

𝑥,𝑦

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𝑀

𝑙

𝑀

𝑟

λ (

𝑢

𝑙

𝑣

𝑙

1

) = 𝑀

𝑙

(𝐼|0) (

𝑋

𝑌

𝑍

1

) λ (

𝑢

𝑟

𝑣

𝑟

1

) = 𝑀

𝑟

(𝑅|𝑇) (

𝑋

𝑌

𝑍

1

)

𝐿

𝑟

= 𝑀

𝑟

(𝑅|𝑇)

𝑢

𝑙

, 𝑣

𝑙

𝑢

𝑟

, 𝑣

𝑟

,

{

(𝐿

𝑙11

− 𝑢

𝑙

𝐿

𝑙31

)𝑋 + (𝐿

𝑙12

− 𝑢

𝑙

𝐿

𝑙32

)𝑌 + (𝐿

13𝑙

− 𝑢

𝑙

𝐿

𝑙33

)𝑍 = 𝑢

𝑙

𝐿

𝑙34

− 𝐿

𝑙14

(𝐿

𝑙21

− 𝑣

𝑙

𝐿

𝑙31

)𝑋 + (𝐿

𝑙22

− 𝑣

𝑙

𝐿

𝑙32

)𝑌 + (𝐿

𝑙23

− 𝑣

𝑙

𝐿

𝑙33

)𝑍 = 𝑣

𝑙

𝐿

𝑙34

− 𝐿

𝑙24

(𝐿

𝑟11

− 𝑢

𝑟

𝐿

𝑟31

)𝑋 + (𝐿

𝑟12

− 𝑢

𝑟

𝐿

𝑟32

)𝑌 + (𝐿

13𝑟

− 𝑢

𝑟

𝐿

𝑟33

)𝑍 = 𝑢

𝑟

𝐿

𝑟34

− 𝐿

𝑟14

(𝐿

𝑟21

− 𝑣

𝑟

𝐿

𝑟31

)𝑋 + (𝐿

𝑟22

− 𝑣

𝑟

𝐿

𝑟32

)𝑌 + (𝐿

𝑟23

− 𝑣

𝑟

𝐿

𝑟33

)𝑍 = 𝑣

𝑟

𝐿

𝑟34

− 𝐿

𝑟24

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-

-

-

-

-

-

-

-

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-

-

-

-

𝑥

𝑖

𝑦𝑁 = ∑

𝑁𝑖=1

(𝑥

𝑖

− 𝑥̅)

𝑦

𝑖

𝑠

𝑛

(𝑛)

𝐹(𝑛) =

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𝑁1

𝑁

(𝑦

𝑖

− 𝑠

𝑛

(𝑖))

2

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Bland-Altman analysis for IBI

( IBIOEP (s)+IBIW (s) )/2

0.4 0.6 0.8 1.0 1.2 1.4 IB IOEP - W (s) -0.15 -0.10 -0.05 0.00 0.05 0.10 0.15 0.20

Linear regression for IBI

IBIOEP(s) 0.4 0.6 0.8 1.0 1.2 1.4  (s)W 0.4 0.6 0.8 1.0 1.2 1.4 m=0.97 r2=0.96

Bland-Altman analysis for VT

( VTOEP (s)+VTOEP (s) )/2 0 2 4 6 8 10 12 14 16 18 VT O E P -V TW (s) -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8

Linear regression for VT

VTOEP(s) 0 2 4 6 8 10 12 14 16 18 VT W (s) 0 2 4 6 8 10 12 14 16 18 m=0.980 r2=0.991

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Bland-Altman analysis for EELV

( EELVOEP (s) + EELVOEP (s) )/2

-8 -6 -4 -2 0 2 4 6 8 10 12 EELV O E P -E E L VW (s) -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6

Linear regression for EELV

EELVOEP(s) -8 -6 -4 -2 0 2 4 6 8 10 12 EELV W (s) -8 -6 -4 -2 0 2 4 6 8 10 12 m=0.999 r2 =0.999

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α r2 α r2 α r2 N motor input 0.678 ± 0.049 0.985 0.902 ± 0.034 0.996 1.173 ± 0.059 0.992 791 OEP 0.644 ± 0.027 0.995 0.890 ± 0.035 0.995 1.212 ± 0.066 0.991 780 webcam 0.642 ± 0.027 0.995 0.891 ± 0.034 0.996 1.214 ± 0.066 0.991 780 motor input 0.505 ±

0.0

29 0.990 0.487 ± 0.045 0.975 0.507 ± 0.013 0.998 902 OEP 0.565 ± 0.021 0.996 0.498 ± 0.039 0.982 0.483 ± 0.025 0.991 905 webcam 0.558 ± 0.020 0.996 0.497 ± 0.983 0.983 0.491 ± 0.028 0.990 905

Oscillation period Oscillation amplitude minimum oscillations

Correlated series

Scorrelated series

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79

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80

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

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n 1 10 100 1000 F (n ) 0.1 1 10 100 IB I (s ) 0.2 0.4 0.6 0.8 1.0 1.2 1.4 VT (ar bitrar y unit ) 0 1 2 3 4 5 6 Breath # 0 50 100 150 200 250 300 350 400 eelv (ar bitrar y unit ) 25 26 27 28 29 30 31 32 F (n ) 0.01 0.1 1 10

=1.225

r

2

=0.997

F (n ) 0.1 1 10

=0.829

r

2

=0.994

=0.799

r

2

= 0.995

=0.541

r

2

= 0.998

=0.536

r

2

=0.988

=0.637

r

2

=0.992

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EELV day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 IBI day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5  0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 rachele matteo perla gabriele riccardo lafit VT day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 infant 1 infant 2 infant 3 infant 4 infant 5 infant 6

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IBI day -2 0 2 4 6 14 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 rachele matteo perla gabriele riccardo lafit EELV day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 IBI day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5

0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 rachele matteo perla gabriele riccardo lafit VT day -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 infant 1 infant 2 infant 3 infant 4 infant 5 infant 6

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α

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α

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