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EE 4BD4 Lecture 17 Blood Pressure Measurement 1

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Page 1: EE 4BD4 Lecture 17 Blood Pressure Measurement 1. 2

EE 4BD4 Lecture 17

Blood Pressure Measurement

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Basic Theory

• A liquid catheter has inertial, frictional and elastic properties represented by inertance, resistance and compliance

• Diaphragm and sensor has these as well• Electrical analogs are inductance, resistance and

capacitance respectively• In the following figure, compliance of the diaphragm is

larger than that of catheter or sensor cavity if catheter is made of stiff material

• Resistance and inertance of the liquid in the sensor can be neglected compared to those of the liquid in the catheter

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Theory (continued)

• Rc is liquid resistance in catheter (friction) for laminar flow• ΔP is pressure difference across segment in pascals (N/m2)• F is flow rate in m3/s• ü is average velocity in m/s• A is Cross-section area in m2

• L is catheter length in m• R is radius in m; η is liquid viscosity in pascal-seconds• Lc is liquid inertance; a is acceleration in m/s2 • m is mass of liquid in kg; ρ is density of liquid in kg/m3

• Ed is volume modulus of elasticity

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