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Dept. of Biomedical Engineering 2003200449 YOUNHO HONG. Blood Pressure and Sound (2). IBP ( Invasive BP ) measurement. diaphragm. catheter. Blood vessel. cable. Pi. Po. pill up with some liquid (ex.saline). strain gages. Po. Pi. If we choose sticky and dense liquid,

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ibp invasive bp measurement
IBP ( Invasive BP ) measurement

diaphragm

catheter

Blood

vessel

cable

Pi

Po

pill up with

some liquid

(ex.saline)

strain gages

Po

Pi

If we choose sticky and dense liquid,

We can’t get the signal of Pi just like the graph.

To get the signal, We should concern with

distance, diameter of a catheter and liquid, air-

bubble inside a catheter.

t

t

ibp invasive bp measurement3
IBP ( Invasive BP ) measurement

# Equivalent Circuit Model Of Catheter-Sensor System

(1) Resistance

L

A

resistivity

P1

R

P2

viscosity

ibp invasive bp measurement4
IBP ( Invasive BP ) measurement

(2) Capacitance or Compliance

(3) Inductance or Inertance

ibp invasive bp measurement5
IBP ( Invasive BP ) measurement

multi

physics

Electric Circuit

Fluid Mechanics

voltage

current

charge

pressure

flow

volume

equivalent circuit model of ibp
Equivalent Circuit Model of IBP

diaphragm

Po

catheter

cable

Pi

strain gages

liquid

+

Vo

-

Vi

i

Compliance of

diaphragm

damping

ratio

natural

frequency

equivalent circuit model of ibp7
Equivalent Circuit Model of IBP

(1) Frequency Transfer Function

equivalent circuit model of ibp9
Equivalent Circuit Model of IBP

Methods to solve 2nd order ODE

steady state freq response
Steady State Freq. Response

f1

f2

∠H

|H|

-4/π

K

0.5

-1.8π

f1

f2

f

unit step response
Unit Step Response

In reality, We need a unit step function for a starting point.

For example, should be

underdamping

input signal

overdamping

critical damping

transient step response
Transient Step Response

balloon

Po

P

bulb

saline

overdamping

critical damping

underdamping

example
Example

(7.1) A 5mm-long air bubble has formed in the rigid-walled catheter to

a Statham P23Dd sensor. The catheter is 1m long, 6 French diameter,

and filled with water at 20 ℃. Plot the frequency-response curve of the

system with and without the bubble.

1.34

1.95

log f

example14
Example

(7.2) By changing only the radius of the catheter, redesign the (no-bubble)

catheter of Figure 7.9 to achieve the damping ratio ζ=1.

Calculate the resulting natiral frequency fn.

1.46

log f