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Medical Instrumentation II Catheter Model Report

This report explores the measurement of pressure using a diaphragm and strain gauge in a catheter model. It discusses equivalent circuit models, differential equations, frequency response, and damping ratios in medical instrumentation. Understanding the importance of parameters like density, viscosity, and compliance is crucial in this context.

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Medical Instrumentation II Catheter Model Report

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  1. 생체계측 II Report #72005200427 송성진 Medical Instrumentation II

  2. Multi physics. ref. <Electric Circuit> V o l t a g e C u r r e n t C h a r g e <Fluid Mechanics> P r e s s u r e F l o w V o l u m e ρ is density L is length η is viscosity C is compliance ρ is resistivity Medical Instrumentation II

  3. Catheter Model. We must measure pressure, Pi ! Diaphragm + Strain gage Pi -> Vi - Cable Blood vessel Po -> Vo Sensor Medical Instrumentation II

  4. Equivalent Circuit Model. 1) 2) Medical Instrumentation II

  5. 3) Second order Ordinary Differential Equation(ODE) 4) Laplace equivalent transform Medical Instrumentation II

  6. Damping Ratio Natural Frequency (or undamped Frequency) Medical Instrumentation II

  7. Frequency transfer function Medical Instrumentation II

  8. Medical Instrumentation II

  9. ІHІ 1/2ζ ∞ → 0 ω Wn We know that Wn is 1/root(LcCd) almost 80Hz ~ 90Hz Medical Instrumentation II

  10. Flat (response) ІHІ 1. If ζ = 0.5 , 1/2ζ = 1 ω Wn Critical damping But, Wn isincreasing, not flat So ІHІ is decreasing Medical Instrumentation II

  11. ІHІ 2. If ζ = 1 , 1 1/2ζ = 0.5 ω Wn Over damped It is that high frequency decreasing Medical Instrumentation II

  12. Іvi(ј ω)І Ex) Wn is going to be more 30Hz so that amplified same magnitude. ω 30Hz If Іvi(ј ω)І Medical Instrumentation II

  13. ІHІ • If ζ = 0.25 , Ex) 1/2ζ = 2 1 ω Wn Under damped Medical Instrumentation II

  14. Phaser transfer graph Wn <H → ∞ ω We must regulate phase & magnitude response appropriate -π/2 -π ζ increasing -> G -> B -> R Medical Instrumentation II

  15. Question) Why change D by jω? 1. D operation GeneralRLCCircuit d/dt Δ= D (operater) Operational transfer function Medical Instrumentation II

  16. 2. Fourier transform Medical Instrumentation II

  17. 0 Medical Instrumentation II

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